


Physics
603

Experimental Methods of Physics


Instrumentation for physical experiments. General philosophy of experimentation; signal processes; signal processing methods; instrument design and control; data acquisition and storage; specific detection methods.
Course Hours:
3 units; (30)

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Physics
605

Advanced Data Analysis


Methods of extraction of significant information from experimental data degraded by noise. Parametric and nonparametric statistical methods; curve fitting; spectral analysis; filtering, sampling, convolution and deconvolution techniques.
Course Hours:
3 units; (30)

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Physics
609

Advanced Classical Mechanics


Variational principles, Lagrange's equations, Noether's theorem. Hamilton's equations and canonical transformations. HamiltonJacobi theory, actionangle variables. Perturbation theory.
Course Hours:
3 units; (30)

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Physics
611

Statistical Physics


Classical and quantum ensemble theory applied to interacting systems: real gases, spin lattices, phase transitions. Kinetic theory: Boltzmann equation, transport processes, irreversible processes and fluctuations.
Course Hours:
3 units; (30)

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Physics
613

Electrodynamics


Interaction between charged particles and the electromagnetic field in relativistic formulation. Scattering and energy losses of charged particles. Radiation by charged particles.
Course Hours:
3 units; (30)

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Physics
615

NonRelativistic Quantum Mechanics


Mathematical formalism of quantum mechanics. Topics may include addition of angular momenta, ClebschGordan coefficients, WignerEckart theorem; charged particles in electric and magnetic fields; quantum operators; approximation methods; scattering; quantum nonlocality, EinsteinPodolskyRosen paradox, Bell's theorem.
Course Hours:
3 units; (30)

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Physics
617

Relativistic Quantum Mechanics


KleinGordon and Dirac equations; Dirac spinor and the adjoint spinor; charge (C), parity (P) and (T) transformations and CPT symmetry; relativistic corrections to atomic spectra.
Course Hours:
3 units; (30)

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Physics
619

Statistical Physics II


Topics Theories of equilibrium and nonequilibrium critical phenomena and methods to study fluctuating systems selected from the following list of topics: Percolation, scaling theory, phase transitions, LandauGinzburg theory, lattice models, Monte Carlo methods, renormalization group, selforganized criticality, theory of random graphs; Brownian motion, random walks and diffusion, FokkerPlanckEquation, Markov processes, stochastic differential equations, first passage times.
Course Hours:
3 units; (30)
Prerequisite(s):
Physics 611.

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Physics
621

Nonlinear Dynamics and Pattern Formation


Topics: Introduction to pattern formation and selforganization in nature: Reactiondiffusion systems, hydrodynamical systems, bistable media, excitable and oscillatory media, stability analysis, bifurcations, pattern selection, amplitude equations and normal forms, fronts, traveling waves, topological defects, spiral waves, spatiotemporal chaos, defectmediated turbulence, spatiotemporal point processes.
Course Hours:
3 units; (30)

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An introduction to Einstein's theory of gravitation. Applications to the solar system, black holes, and cosmology.
Course Hours:
3 units; (30)

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Physics
663

Applications of Stable Isotopes


Application of stable isotope techniques with special focus on Hydrogeology, Geology and Environmental Sciences. The use of isotopes to understand the water, carbon, nitrogen and sulphur cycles is demonstrated. Topics include hydrology, paleoclimates, geothermometry, fossil fuels exploration and recovery, pollutant tracing, food webs, forensic investigations, among others.
Course Hours:
3 units; (21)
Prerequisite(s):
Consent of the Department.
Also known as:
(Geology 663)

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Physics
671

Atomic and Molecular Spectroscopy


Atomic structure and spectra. Rotational, vibrational and electronic spectra of diatomic molecules, including microwave, infrared, Raman and visible/ultraviolet spectroscopic techniques. Hund's coupling cases. Polyatomic molecular spectroscopy. Examples from astronomy and upper atmosphere/space physics.
Course Hours:
3 units; (30)

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Physics
673

Quantum and Nonlinear Optics


Theory of dispersion. Fast and slow light. Basics of nonlinear optics. Nonlinear optical crystals, phase matching. Coherence theory. Preparation, manipulation and measurement of quantum optical states and singlephoton qubits. Elements of atomic physics, optical Bloch equation, rotatingwave approximation. Twoand threelevel systems. Cavity quantum electrodynamics.
Course Hours:
3 units; (30)

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Physics
675

Special Topics in Laser and Optical Sciences


Lectures by Physics and Astronomy, Chemistry, Engineering, and/or Medicine staff on current research topics in laser science and modern optical techniques.
Course Hours:
3 units; (30)
MAY BE REPEATED FOR CREDIT

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Physics
677

Implementations of Quantum Information


Proposals and realizations of quantum information tasks including quantum computation, quantum communication, and quantum cryptography in optical, atomic, molecular, and solid state systems.
Course Hours:
3 units; (30)
Prerequisite(s):
Consent of the Department.

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Physics
691

Scientific Communication Skills


Required, multicomponent, program of courses for all graduate students in the Department of Physics and Astronomy designed to assist students in improving their scientific oral and written communication skills.
691.11. Effective Scientific Speaking for MSc Students
691.12. Graduate Seminar for MSc Students I
691.13. Effective Scientific Writing for MSc Students
691.14. Graduate Seminar for MSc Students II
691.16. Graduate Seminar for MSc Students III
691.18. Graduate Seminar for MSc Students IV
691.21. Effective Scientific Speaking for PhD Students
691.22. Graduate Seminar for PhD Students I
691.23. Effective Scientific Writing for PhD Students
691.24. Graduate Seminar for PhD Students II
691.26. Graduate Seminar for PhD Students III
691.28. Graduate Seminar for PhD Students IV
Course Hours:
1.5 units; (2S0)
Notes:
It is recommended that students take the Graduate Seminar components (691.12 or 691.22 and higher) after completing the relevant Effective Scientific Speaking component (691.11 or 691.21).
MAY BE REPEATED FOR CREDIT
NOT INCLUDED IN GPA

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Physics
697

Topics in Contemporary Physics


Topics will be from the research areas of staff members.
Course Hours:
3 units; (30) or (06)
MAY BE REPEATED FOR CREDIT

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Physics
699

Project in Physics


Each student will select a project in consultation with a staff member. The project may be experimental or theoretical in nature. A written report and an oral presentation are required.
Course Hours:
3 units; (09)

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Physics
701

Independent Study


Each student will select a topic of study in consultation with a staff member. The topic will be in the research area of the staff member. This course may not be used to meet the regular course requirements in the MSc and PhD programs.
Course Hours:
3 units; (09)
MAY BE REPEATED FOR CREDIT

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