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						Physics 
						603      
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						Experimental Methods of Physics
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			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; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						605      
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						Advanced Data Analysis
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			Methods of extraction of significant information from experimental data degraded by noise. Parametric and non-parametric statistical methods; curve fitting; spectral analysis; filtering, sampling, convolution and deconvolution techniques.
			 Course Hours:
			3 units; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						609      
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						Advanced Classical Mechanics
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			Variational principles, Lagrange's equations, Noether's theorem. Hamilton's equations and canonical transformations. Hamilton-Jacobi theory, action-angle variables. Perturbation theory.
			 Course Hours:
			3 units; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						611      
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						Statistical Physics
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			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; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						613      
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						Electrodynamics
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			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; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						615      
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						Non-Relativistic Quantum Mechanics
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			Mathematical formalism of quantum mechanics. Topics may include addition of angular momenta, Clebsch-Gordan coefficients, Wigner-Eckart theorem; charged particles in electric and magnetic fields; quantum operators; approximation methods; scattering; quantum nonlocality, Einstein-Podolsky-Rosen paradox, Bell's theorem.
			 Course Hours:
			3 units; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						617      
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						Relativistic Quantum Mechanics
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			Klein-Gordon 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; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						619      
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						Statistical Physics II
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			Topics Theories of equilibrium and non-equilibrium critical phenomena and methods to study fluctuating systems selected from the following list of topics: Percolation, scaling theory, phase transitions, Landau-Ginzburg theory, lattice models, Monte Carlo methods, renormalization group, self-organized criticality, theory of random graphs; Brownian motion, random walks and diffusion, Fokker-Planck-Equation, Markov processes, stochastic differential equations, first passage times.
			 Course Hours:
			3 units; (3-0)
			 Prerequisite(s):
			 Physics 611.  
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						621      
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						Non-linear Dynamics and Pattern Formation
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			Topics: Introduction to pattern formation and self-organization in nature: Reaction-diffusion 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, defect-mediated turbulence, spatiotemporal point processes.
			 Course Hours:
			3 units; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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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; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						663      
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						Applications of Stable Isotopes
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			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; (2-1)
			 Prerequisite(s):
			 Consent of the Department.
			
			
			
			
			
			
			 Also known as:
			(Geology 663)
			
			  
			
			
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						Physics 
						671      
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						Atomic and Molecular Spectroscopy
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			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; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						673      
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						Quantum and Non-linear Optics
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			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 single-photon qubits. Elements of atomic physics, optical Bloch equation, rotating-wave approximation. Two-and three-level systems. Cavity quantum electrodynamics.
			 Course Hours:
			3 units; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						675      
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						Special Topics in Laser and Optical Sciences
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			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; (3-0)
			
			
			
			
			
			
			
			
			
			
			
			 MAY BE REPEATED FOR CREDIT
			
			
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						Physics 
						677      
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						Implementations of Quantum Information
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			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; (3-0)
			 Prerequisite(s):
			 Consent of the Department.
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						691      
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						Scientific Communication Skills 
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		 Required, multi-component, 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; (2S-0)
			
			
			
			
			
			
			 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      
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						Topics in Contemporary Physics
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			Topics will be from the research areas of staff members.
			 Course Hours:
			3 units; (3-0) or (0-6)
			
			
			
			
			
			
			
			
			
			
			
			 MAY BE REPEATED FOR CREDIT
			
			
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						Physics 
						699      
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						Project in Physics
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			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; (0-9)
			
			
			
			
			
			
			
			
			
			
			
			  
			
			
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						Physics 
						701      
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						Independent Study
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			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; (0-9)
			
			
			
			
			
			
			
			
			
			
			
			 MAY BE REPEATED FOR CREDIT
			
			
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