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PHYS 6520: Quantum Mechanics II
4.00 Credits
Rensselaer Polytechnic Institute
Intrinsic spins, Pauli matrices, spinors. Addition of angular momenta, Clebsch-Gordon coefficients, Wigner-Eckart Theorems, applications. Approximate treatments: variation methods, overlap integrals, Block wavelength. WKB methods. Stationary perturbation, degeneracy. Fine structure and hyperfine structure in atoms. Approximations for time dependent problems: Fermi-Golden rules. Classical fields: Lagrangian density, variational principle, field equations, normal modes. Field quantization: quantization of continuous systems, EM radiation, photons, EM-atom coupling, spontaneous emission. Relativistic single particle: Dirac equation, free space solution, central force solution. Prerequisites/Corequisites: Prerequisite: PHYS 6510. When Offered: Spring term annually. Credit Hours: 4
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PHYS 6520 - Quantum Mechanics II
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PHYS 6530: Quantum Mechanics III
3.00 Credits
Rensselaer Polytechnic Institute
Relativistic wave equations. Commutation relations and the quantization of free fields. Spin and statistics of Bose and Fermi fields. Interacting fields and commutation relations. Interaction representation and S-matrix perturbation theory. Renormalization theory and applications in quantum electrodynamics. Prerequisites/Corequisites: Prerequisite: PHYS 6520. When Offered: Consult department about when offered. Credit Hours: 3
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PHYS 6530 - Quantum Mechanics III
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PHYS 6590: Statistical Mechanics
4.00 Credits
Rensselaer Polytechnic Institute
Review of thermodynamics, probability, and statistics. Statistical basis of thermodynamics, various ensembles, quantum statistics. Ideal Fermi and Bose gases and applications to solids and the black-body radiation. Interacting systems, phase transitions, and critical phenomena. Phase transition in the Van der Waals gas and in the Ising ferromagnet. Mean-field approximation and Landau theory of continuous phase transitions. Random walk, diffusion, Brownian motion, and Langevin equation. Stochastic processes. Prerequisites/Corequisites: Prerequisite: PHYS 6510. When Offered: Fall term annually. Credit Hours: 4
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PHYS 6590 - Statistical Mechanics
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PHYS 6620: Nuclear and Particle Physics I
3.00 Credits
Rensselaer Polytechnic Institute
An introduction to the physical concepts and methods of modern nuclear and elementary particle physics, for specialists and nonspecialists. Nonrelativistic scattering theory, resonance production, group symmetries and conservation laws, quark-model of hadron structure, and simple Feynman diagrams. Prerequisites/Corequisites: Prerequisite: PHYS 6520. When Offered: On availability of instructor. Credit Hours: 3
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PHYS 6620 - Nuclear and Particle Physics I
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PHYS 6710: Theory of Solids I
3.00 Credits
Rensselaer Polytechnic Institute
An introduction to the theory of solids. Theory of the free-electron metal, band theory, and phonons. Application to the electrical, optical, and thermal properties of solids. Qualitative discussion of cohesion. Prerequisites/Corequisites: Prerequisite: PHYS 6520. When Offered: Fall term annually. Credit Hours: 3
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PHYS 6710 - Theory of Solids I
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PHYS 6720: Theory of Solids II
3.00 Credits
Rensselaer Polytechnic Institute
More detailed application of solid-state theory to electrical, magnetic, and optical properties of matter. Consideration of particular materials; semiconductors, ferrites, ferroelectrics, and superconductors. Prerequisites/Corequisites: Prerequisite: PHYS 6710. When Offered: On availability of instructor. Credit Hours: 3
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PHYS 6720 - Theory of Solids II
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PHYS 6810: Nonlinear and Quantum Optics
3.00 Credits
Rensselaer Polytechnic Institute
Theoretical framework for analysis of wave propagation in nonlinear media. Classical and quantum theory of nonlinear response. Multi-wave mixing, including second-harmonic generation, optical phase conjugation and optical bistability. Quantization of the electromagnetic field and quantum stochastic processes in atom-field interactions. Applications to amplifiers, lasers, resonance fluorescence, and squeezed state generation. Quantum theory of measurements. Prerequisites/Corequisites: Prerequisite: PHYS 6510. When Offered: Consult department about when offered. Credit Hours: 3
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PHYS 6810 - Nonlinear and Quantum Optics
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PHYS 6900: Seminar
3.00 Credits
Rensselaer Polytechnic Institute
Selected topics. Credit Hours: to be arranged
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PHYS 6900 - Seminar
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PHYS 6940: Readings in Physics
3.00 Credits
Rensselaer Polytechnic Institute
Supervised reading and study in various fields of physics. Credit Hours: 3
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PHYS 6940 - Readings in Physics
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PHYS 6960: Topics in Physics
3.00 Credits
Rensselaer Polytechnic Institute
Credit Hours: Variable
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PHYS 6960 - Topics in Physics
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