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PHYS-6510: Quantum Mechanics I
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<meta property="og:description" content="Classical mechanics: from Lagrangian to Hamiltonian, single particle formalism, small oscillations, normal modes, Hamilton-Jacobi theory, Hamilton’s equation, review of wave mechanics: Schroedinger equation, barrier tunneling, quantum wells, mathematical foundation of quantum mechanics: ket space, representations, observables, eigenstates and diagonization, quantum postulates, application of quantum postulates to two-level systems, harmonic oscillators, creation and annihilation operators. Quantization of angular momentum, spherical harmonics, rotation operators, Landau levels, central force: hydrogen atom. Path integral formalism for quantum theory.">
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<h1 id="name">
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Quantum Mechanics I
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</h1>
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<h2 id="code">
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PHYS-6510
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</h2>
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<p>
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Classical mechanics: from Lagrangian to Hamiltonian, single particle formalism, small oscillations, normal modes, Hamilton-Jacobi theory, Hamilton’s equation, review of wave mechanics: Schroedinger equation, barrier tunneling, quantum wells, mathematical foundation of quantum mechanics: ket space, representations, observables, eigenstates and diagonization, quantum postulates, application of quantum postulates to two-level systems, harmonic oscillators, creation and annihilation operators. Quantization of angular momentum, spherical harmonics, rotation operators, Landau levels, central force: hydrogen atom. Path integral formalism for quantum theory.
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4 credits
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Prereqs:
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none
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<th class="spring season-label">Spring</th>
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<th class="summer season-label" colspan="2">Summer</th>
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<th class="fall season-label">Fall</th>
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</tr>
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<tr>
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<th colspan="2"></th>
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<th class="summer2 midsum-label">(Session 1)</th>
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<th class="summer3 midsum-label">(Session 2)</th>
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<th></th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<th class="year">2024</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202409&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Shengbai Zhang</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 21/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2023</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202309&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Shengbai Zhang</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 14/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2022</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202209&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Shengbai Zhang</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 14/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2021</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Shengbai Zhang</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 13/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2020</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
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</span>
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<ul class="prof-list">
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||
<li>Shengbai Zhang</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 14/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2019</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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||
<span class="term-course-info">
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||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201909&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
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||
</span>
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||
<ul class="prof-list">
|
||
<li>Shengbai Zhang</li>
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||
</ul>
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||
<span class="course-capacity">
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||
Seats Taken: 23/30
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</span>
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||
</div>
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</td>
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</tr>
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<tr>
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<th class="year">2018</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201809&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Shengbai Zhang</li>
|
||
</ul>
|
||
<span class="course-capacity">
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||
Seats Taken: 15/60
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||
</span>
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||
</div>
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||
</td>
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||
</tr>
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||
<tr>
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<th class="year">2017</th>
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<td class="term spring not-offered">
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</td>
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||
<td colspan="2" class="term summer not-offered">
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||
</td>
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||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201709&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Shengbai Zhang</li>
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||
</ul>
|
||
<span class="course-capacity">
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||
Seats Taken: 11/60
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||
</span>
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||
</div>
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||
</td>
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||
</tr>
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||
<tr>
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||
<th class="year">2016</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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||
</td>
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||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Gyorgy Korniss</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 13/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2015</th>
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<td class="term spring not-offered">
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</td>
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||
<td colspan="2" class="term summer not-offered">
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||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201509&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Gyorgy Korniss</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 16/60
|
||
</span>
|
||
</div>
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||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2014</th>
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<td class="term spring not-offered">
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||
</td>
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||
<td colspan="2" class="term summer not-offered">
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||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Gyorgy Korniss</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 21/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2013</th>
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||
<td class="term spring not-offered">
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||
</td>
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||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201309&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Gyorgy Korniss</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 32/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2012</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201209&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>James J Napolitano</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 18/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2011</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201109&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 19/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2010</th>
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||
<td class="term spring not-offered">
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</td>
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||
<td colspan="2" class="term summer not-offered">
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||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201009&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 13/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2009</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200909&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 32/40
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2008</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200809&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Peter Persans</li>
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 24/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2007</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200709&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 25/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2006</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2005</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200509&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 15/35
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2004</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200409&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 30/50
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2003</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200309&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Saroj K. Nayak</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 15/40
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2002</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200209&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>James J Napolitano</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 14/40
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2001</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200109&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>James J Napolitano</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 22/40
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2000</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200009&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Richard M Davidson</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 10/25
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">1999</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199909&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Richard M Davidson</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 10/40
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">1998</th>
|
||
<td class="term spring unscheduled">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199809&subj_in=PHYS&crse_in=6510&schd_in=">Quantum Mechanics I (3c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Daniel Sperber</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 20/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</div>
|
||
</div>
|
||
</body>
|
||
</html>
|