{"id":1320,"date":"2026-08-03T01:08:31","date_gmt":"2026-08-03T01:08:31","guid":{"rendered":"https:\/\/sites.rutgers.edu\/chakram-lab\/?page_id=1320"},"modified":"2026-08-03T01:08:31","modified_gmt":"2026-08-03T01:08:31","slug":"fall-2025-physics-313-modern-physics","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/chakram-lab\/teaching\/fall-2025-physics-313-modern-physics\/","title":{"rendered":"Fall 2025: Physics 313 \u2013 Modern Physics"},"content":{"rendered":"<h3><span style=\"color: #800000\"><big><big><big><big><small><small>Course information<\/small><\/small><\/big><\/big><\/big><\/big><\/span><\/h3>\n<ul>\n<li><strong>Title: <\/strong>01:750:313 Modern Physics, Fall 2025<\/li>\n<li><strong>Course description<\/strong>: This one semester course introduces modern physics, tracing the early twentieth century revolutions that revealed how nature behaves at length and velocity scales far from everyday experience. After a brief review of classical physics (Newtonian mechanics, thermodynamics and electrodynamics) and the puzzles it could not explain, the course covers the two pillars of modern physics. The first is special relativity: Einstein\u2019s postulates, Lorentz transformations, time dilation, length contraction and the equivalence of mass and energy. The second is quantum mechanics, developed through its experimental foundations (blackbody radiation and Planck\u2019s hypothesis, the photoelectric effect, Compton scattering, atomic spectra, and the Rutherford and Bohr models) and through wave-particle duality (de Broglie waves, the Davisson-Germer experiment and the double-slit experiment). The course concludes with a rigorous introduction to quantum mechanics: the Schr&ouml;dinger equation, wavefunctions and the Born rule, the uncertainty principle, exactly solvable systems (the particle in a box, the harmonic oscillator and quantum tunneling), and the quantum mechanical treatment of the hydrogen atom, including the Zeeman effect and electron spin. Concepts are connected throughout to real world applications such as LIGO, GPS and atomic clocks.<\/li>\n<li><strong>Course instructor:<\/strong> <a href=\"https:\/\/sites.rutgers.edu\/chakram-lab\/people\/schakram\/\">Srivatsan Chakram (Vatsan)<\/a>, <a class=\"inline_disabled\" href=\"mailto:schakram@physics.rutgers.edu\" target=\"_blank\" rel=\"noopener\">schakram@physics.rutgers.edu<\/a><\/li>\n<li><strong>Prerequisites<\/strong>:\n<ul>\n<li>Mechanics and electromagnetism, either through the Analytical Physics sequence (01:750:202, 01:750:204 or 01:750:228) or the Honors Physics sequence (01:750:271 and 01:750:272)<\/li>\n<li>Calculus (01:640:136 or 01:640:152)<\/li>\n<\/ul>\n<\/li>\n<li><strong>Corequisites<\/strong>: None<\/li>\n<\/ul>\n<hr \/>\n<ul>\n<li><b>Textbook: <\/b><em>Modern Physics for Scientists and Engineers<\/em>, Stephen T. Thornton, Andrew Rex and Carol Hood.<\/li>\n<\/ul>\n<hr \/>\n<ul>\n<li><strong>Class times: <\/strong>Two 80 minute lectures per week, on Tuesdays and Fridays<\/li>\n<li><strong>Location: <\/strong>Lucy Stone Hall (LSH) 269, Livingston Campus<\/li>\n<\/ul>\n<hr \/>\n<h3><span style=\"color: #800000\"><big><big><big><big><small><small>Lecture schedule<\/small><\/small><\/big><\/big><\/big><\/big><\/span><\/h3>\n<p>Handwritten lecture notes are linked below. The complete set of slides is available <a href=\"https:\/\/drive.google.com\/open?id=1VHO1aqhN8NUWK4GbA-TylTmSIYYA6dpN\" target=\"_blank\" rel=\"noopener\">here<\/a>, and all of the notes live in <a href=\"https:\/\/drive.google.com\/open?id=10c_Fd0iOMejzZUgFPVS6p0YhpadKy1bP\" target=\"_blank\" rel=\"noopener\">this folder<\/a>.<\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<thead>\n<tr style=\"background-color:#e8e0e0\">\n<th style=\"padding:6px;text-align:left;width:5%\">#<\/th>\n<th style=\"padding:6px;text-align:left;width:11%\">Date<\/th>\n<th style=\"padding:6px;text-align:left\">Topics<\/th>\n<th style=\"padding:6px;text-align:left;width:12%\">Reading<\/th>\n<th style=\"padding:6px;text-align:left;width:13%\">Homework<\/th>\n<th style=\"padding:6px;text-align:left;width:11%\">Notes<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"background-color:#f2ecec\">\n<td colspan=\"6\" style=\"padding:8px 6px\"><strong><span style=\"color: #800000\">Module 1: Review of nineteenth century physics<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">1<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 2<\/td>\n<td style=\"padding:6px;vertical-align:top\">Course introduction and logistics. Overview and triumphs of nineteenth century physics. Newtonian mechanics and Newton\u2019s laws of motion. Newtonian principle of relativity.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 1.1<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1vc98a9DrERfF4kdSfRmGL7W9uFW3pDIl\" target=\"_blank\" rel=\"noopener\">Lec 1<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">2<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 5<\/td>\n<td style=\"padding:6px;vertical-align:top\">Math primer: complex numbers and solving differential equations. Conservation laws: energy, momentum and angular momentum.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 1.2\u20131.3<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 1 out<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=11vdUZvpwWpFU9gCq77zCJ_rIalb21qqu\" target=\"_blank\" rel=\"noopener\">Lec 2<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">3<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 9<\/td>\n<td style=\"padding:6px;vertical-align:top\">Recap of thermodynamics: the laws of thermodynamics, the second law and entropy. Kinetic theory of gases and the Maxwell-Boltzmann distribution. Electrodynamics and Maxwell\u2019s equations.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 1.4\u20131.6<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1hjF_xHMUuHwYEWUu2dRTdMB15DXlTfb3\" target=\"_blank\" rel=\"noopener\">Lec 3<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">4<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 12<\/td>\n<td style=\"padding:6px;vertical-align:top\">Electromagnetic waves and the relation between E and B fields. Energy of EM waves and the Poynting vector. Wave phenomena: interference and diffraction. The wave-particle debate and the unresolved questions of nineteenth century physics. Blackbody radiation (introduction).<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 1.2, 1.3, 1.6<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 2 out, HW 1 due<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1UFUczy4sY0twjBes2UvTRBd3AmWNw7a9\" target=\"_blank\" rel=\"noopener\">Lec 4<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">5<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 16<\/td>\n<td style=\"padding:6px;vertical-align:top\">Interference and diffraction continued; double-slit fringes. Searching for the ether: the Michelson-Morley experiment. Interferometry: from Michelson to LIGO.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 1.6, 1.7, 2.1, 2.2<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1vbO5tuil8n682YwnOPnwXdVqqBaSLlfy\" target=\"_blank\" rel=\"noopener\">Lec 5<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f2ecec\">\n<td colspan=\"6\" style=\"padding:8px 6px\"><strong><span style=\"color: #800000\">Module 2: Special relativity<\/span><\/strong><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">6<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 19<\/td>\n<td style=\"padding:6px;vertical-align:top\">Einstein\u2019s postulates of special relativity. Synchronization of clocks and simultaneity. Lorentz transformations. Time dilation.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 2.3\u20132.5<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 3 out, HW 2 due<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1tFtVDpChiQwvK33QgzZzh8isYf7lfS4Z\" target=\"_blank\" rel=\"noopener\">Lec 6<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">7<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 23<\/td>\n<td style=\"padding:6px;vertical-align:top\">Length contraction. Relativistic velocity addition and the Fizeau experiment. The twin paradox. Spacetime and the spacetime interval. The Doppler effect for light. Tests of special relativity.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 2.6\u20132.10<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=16I3TtvUOuNOXVFH8YZxLWmm1IlI46vkF\" target=\"_blank\" rel=\"noopener\">Lec 7<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">8<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 26<\/td>\n<td style=\"padding:6px;vertical-align:top\">Relativistic momentum. Relativistic energy and the equivalence of mass and energy. The energy-momentum relation. Deriving relativistic dynamics from symmetry: translations, rotations and Lorentz transformations.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 2.11\u20132.12<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 4 out, HW 3 due<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1YmPtZtPvH8uEuGGmIUunja6rCTF93css\" target=\"_blank\" rel=\"noopener\">Lec 8<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">9<\/td>\n<td style=\"padding:6px;vertical-align:top\">Sep 30<\/td>\n<td style=\"padding:6px;vertical-align:top\">Experimental tests of special relativity: muon decay, atomic clocks and computations in high energy physics. Electromagnetism and relativity, invariance of charge, and the conversion between electric and magnetic fields.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 2.13\u20132.14<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">10<\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 3<\/td>\n<td style=\"padding:6px;vertical-align:top\">Introduction to general relativity and the equivalence principle. Light bent by gravity; gravity as curvature of spacetime; spacetime curved by mass. Stellar aberration and the Eddington experiment. Gravitational redshift. Gravitational waves and LIGO.<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 4 due<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<\/tr>\n<tr style=\"background-color:#fbfbfb\">\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 7<\/td>\n<td colspan=\"4\" style=\"padding:6px;vertical-align:top\"><strong>Midterm 1 (covers Ch 1\u20132)<\/strong><\/td>\n<\/tr>\n<tr style=\"background-color:#f2ecec\">\n<td colspan=\"6\" style=\"padding:8px 6px\"><strong><span style=\"color: #800000\">Module 3: Experimental basis for quantum physics<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">11<\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 10<\/td>\n<td style=\"padding:6px;vertical-align:top\">X-rays: discovery and properties. Cathode rays and the discovery of the electron. Measuring e\/m (J. J. Thomson) and e (the Millikan oil-drop experiment). Atomic spectra, the hydrogen spectrum and the Rydberg formula. Discovery of helium.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 3.1\u20133.3<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 5 out<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1HK9NvfUUrU4hJ4_kllqj2rQlZ2erZr43\" target=\"_blank\" rel=\"noopener\">Lec 11<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">12<\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 17<\/td>\n<td style=\"padding:6px;vertical-align:top\">Blackbody radiation: Wien\u2019s law, the Stefan-Boltzmann law, the Rayleigh-Jeans formula and the ultraviolet catastrophe. Planck\u2019s radiation formula and quantization. The photoelectric effect: experimental phenomenology and Einstein\u2019s explanation.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 3.4\u20133.6<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 5 due<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1dfkW0A7-nGqXp86bY2JptqJ--GFuRaki\" target=\"_blank\" rel=\"noopener\">Lec 12<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">13<\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 21<\/td>\n<td style=\"padding:6px;vertical-align:top\">X-ray production. The Compton effect: elastic scattering of photons and electrons, and the Compton wavelength. Pair production and pair annihilation.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 3.7\u20133.9<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 6 out<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1Mi4PMmxGXJBBTIQDNWLu3hc6Dj7_jpne\" target=\"_blank\" rel=\"noopener\">Lec 13<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f2ecec\">\n<td colspan=\"6\" style=\"padding:8px 6px\"><strong><span style=\"color: #800000\">Module 4: Structure of the atom<\/span><\/strong><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">14<\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 24<\/td>\n<td style=\"padding:6px;vertical-align:top\">Brief recap of atomic history. The atomic models of Thomson and Rutherford. Alpha particles and their nature. Rutherford\u2019s gold foil experiment. Scattering from the Coulomb interaction and the Rutherford scattering formula.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 4.1\u20134.4<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1PX9513mt94G9hDTpM_1LoDbi63Qfi2k8\" target=\"_blank\" rel=\"noopener\">Lec 14<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">15<\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 28<\/td>\n<td style=\"padding:6px;vertical-align:top\">Instability of the classical planetary atom. The Bohr model: assumptions, angular momentum quantization, deriving the Rydberg formula, and the fine structure constant. The correspondence principle. Limitations of the Bohr model.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 4.4\u20134.7<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 7 out, HW 6 due<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1_DA2oR6VlYSNMtwR7qCBg7mUL8Ej3DUm\" target=\"_blank\" rel=\"noopener\">Lec 15<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">16<\/td>\n<td style=\"padding:6px;vertical-align:top\">Oct 31<\/td>\n<td style=\"padding:6px;vertical-align:top\">The correspondence principle continued; isotope shifts and reduced mass corrections. Further limitations of the Bohr model. Wave-particle duality of matter and the de Broglie hypothesis. Deriving Bohr\u2019s angular momentum quantization from de Broglie waves.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 4.5\u20134.7, 5.1\u20135.2<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1sfI2hj3pSxuxFmAsy-VOhIGAjuLtUaoy\" target=\"_blank\" rel=\"noopener\">Lec 16<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">17<\/td>\n<td style=\"padding:6px;vertical-align:top\">Nov 4<\/td>\n<td style=\"padding:6px;vertical-align:top\">Recap of the wave equation and electromagnetic waves. Solving the wave equation: pulse-like solutions and wave packets. Fourier series and Fourier transforms. Group velocity and phase velocity. De Broglie\u2019s derivation of the velocity of relativistic matter waves.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 5.2\u20135.5<\/td>\n<td style=\"padding:6px;vertical-align:top\">HW 7 due<\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1PswSf7AYuQjI5dvqaWtk1jE3ggsW7z4N\" target=\"_blank\" rel=\"noopener\">Lec 17<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">18<\/td>\n<td style=\"padding:6px;vertical-align:top\">Nov 7<\/td>\n<td style=\"padding:6px;vertical-align:top\">X-ray diffraction by crystals and Bragg scattering. Proving the wave nature of matter: electron diffraction and the Davisson-Germer experiment. Waves and particles: the double-slit experiment with light and with electrons. The gedanken &#8220;which slit&#8221; experiment and how measurement changes the outcome. The principle of complementarity.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 5.1, 5.3, 5.5<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1GEcWONeGFOk3ynINw30qBbWaj1to9u8l\" target=\"_blank\" rel=\"noopener\">Lec 18<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#fbfbfb\">\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\">Nov 11<\/td>\n<td colspan=\"4\" style=\"padding:6px;vertical-align:top\"><strong>Midterm 2 (covers Ch 3\u20135)<\/strong><\/td>\n<\/tr>\n<tr style=\"background-color:#f2ecec\">\n<td colspan=\"6\" style=\"padding:8px 6px\"><strong><span style=\"color: #800000\">Module 5: Quantum mechanics<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">19<\/td>\n<td style=\"padding:6px;vertical-align:top\">Nov 14<\/td>\n<td style=\"padding:6px;vertical-align:top\">Gaussian wave packets in real and Fourier space. The wavefunction and the Born rule for probabilities. The Copenhagen interpretation. The uncertainty principle and the Heisenberg microscope. &Delta;x and &Delta;p of wave packets. Particle in a well or box (introduction). The hydrogen atom (introduction).<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 5.5\u20135.8<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1rHQ8mjMBayh-PC7ZIsMThR_INVeWsvDD\" target=\"_blank\" rel=\"noopener\">Lec 19<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">20\u201321<\/td>\n<td style=\"padding:6px;vertical-align:top\">Nov 18 and 21<\/td>\n<td style=\"padding:6px;vertical-align:top\">Overview of wave mechanics and matrix mechanics. The Schr&ouml;dinger equation and its consistency with Planck and de Broglie. Linearity of quantum mechanics. Quantum measurement: observables as operators. Eigenfunctions and eigenvalues; state collapse during measurement. Expectation values. The particle in an infinite square well.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 6.1\u20136.3<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1KMPVK-1Laa1fHT_oLnCfFkj0zTq8AYMe\" target=\"_blank\" rel=\"noopener\">Lec 21 and 22<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:6px;vertical-align:top\">22<\/td>\n<td style=\"padding:6px;vertical-align:top\">Dec 2<\/td>\n<td style=\"padding:6px;vertical-align:top\">Recap of the postulates of quantum mechanics. Non-commutativity of the position and momentum operators. The infinite square well in three dimensions. The finite square well. The simple harmonic oscillator. Quantum tunneling.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 6.4\u20136.6<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1KMPVK-1Laa1fHT_oLnCfFkj0zTq8AYMe\" target=\"_blank\" rel=\"noopener\">Lec 21 and 22<\/a>, <a href=\"https:\/\/drive.google.com\/open?id=1s6koR4_LF8nf4ewpW1hgK0yufgfARAKd\" target=\"_blank\" rel=\"noopener\">Lec 22<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#f7f7f7\">\n<td style=\"padding:6px;vertical-align:top\">23<\/td>\n<td style=\"padding:6px;vertical-align:top\">Dec 5<\/td>\n<td style=\"padding:6px;vertical-align:top\">The Schr&ouml;dinger equation for the hydrogen atom: separation of variables and quantum numbers. The atom in a magnetic field and the Zeeman effect. The magnetic moment of the electron. Electron spin and the Stern-Gerlach experiment. Relativistic corrections.<\/td>\n<td style=\"padding:6px;vertical-align:top\">Ch 7.1, 7.3\u20137.5<\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><a href=\"https:\/\/drive.google.com\/open?id=1wW6lBHgkWvlmqDF_LXWL2Vvhg0Npseyg\" target=\"_blank\" rel=\"noopener\">Lec 23<\/a><\/td>\n<\/tr>\n<tr style=\"background-color:#fbfbfb\">\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td style=\"padding:6px;vertical-align:top\"><\/td>\n<td colspan=\"4\" style=\"padding:6px;vertical-align:top\"><strong>Final exam (cumulative)<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Course information Title: 01:750:313 Modern Physics, Fall 2025 Course description: This one semester course introduces modern physics, tracing the early twentieth century revolutions that revealed how nature behaves at length &hellip; <a href=\"https:\/\/sites.rutgers.edu\/chakram-lab\/teaching\/fall-2025-physics-313-modern-physics\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":1354,"featured_media":0,"parent":801,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-1320","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fall 2025: Physics 313 \u2013 Modern Physics - Superconducting Quantum Systems<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sites.rutgers.edu\/chakram-lab\/teaching\/fall-2025-physics-313-modern-physics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fall 2025: Physics 313 \u2013 Modern Physics - Superconducting Quantum Systems\" \/>\n<meta property=\"og:description\" content=\"Course information Title: 01:750:313 Modern Physics, Fall 2025 Course description: This one semester course introduces modern physics, tracing the early twentieth century revolutions that revealed how nature behaves at length &hellip; 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