4.6 Physical Sciences

PHY421: Laser physics and advanced optics

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PHY422: Computational methods in physics I

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PHY423: Mathematical methods for physicists II

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PHY424: Relativistic quantum mechanics and quantum field theory

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Goal: To trace the path from single particle Non-relativistic Quantum Mechanics (QM) to the necessity of many body interpretations of its relativistic generalizations. Introduction of Quantum field theory as a comprehensive language to describe many body relativistic quantum systems which resolves the paradoxes of single body Relativistic QM.

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PHY425: Computational methods in physics II

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Knowledge of the content of PHY422 is essential to follow this course.

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PHY601: Review of classical mechanics

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PHY602: Review of electrodynamics

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PHY603: Review of statistical mechanics

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PHY604: Review of quantum mechanics

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PHY622: Mathematical methods for physicsts III

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Course Outline Topics are divided into three groups. First set of topics and one of the other two is to be taught in a given instance.

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PHY631: Quantum computation and quantum information

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PHY632: Advanced experiments in physics

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Course Outline This course is intended for Advanced MS (Physics Major) students with an interest in gaining experience in an experimental physics research group. The course can be offered every semester, with a set of instructors drawn from the available experimental research groups. The mode of instruction will comprise a combination of lectures, tutorials and minor research projects to be carried out in the research lab of the concerned instructor currently the available modules are as follows out of which depending upon the instructs at least two will be included in the course.

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PHY633: Mesoscopic physics

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PHY634: NMR in physics and biology

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Course Outline The course is intended for advanced MS and PhD students with an interest in applications of nuclear magnetic resonance (NMR) to problems in structural biology, medicine and physics. The course will also include tutorials and hands-on experience with actual data obtained from the NMR facility.

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PHY635: Gravitation and cosmology

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Knowledge of the content of PHY301, PHY303 and PHY310 is essential to follow this course.

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PHY636: Advanced condensed matter physics

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Knowledge of the content of PHY302, PHY304 and PHY402 is essential to follow this course.

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PHY637: Astrophysics

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Knowledge of the content of PHY301, PHY303, PHY304 and PHY403 is essential to follow this course.

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PHY638: Physics of fluids

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Knowledge of the content of PHY301, PHY303 and PHY310 is essential to follow this course.

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PHY639: Topics in biophysics

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PHY640: Non-equilibrium statistical mechanics

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PHY641: Advanced classical mechanics

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PHY642: Non-equilibrium thermodynamics

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Knowledge of the content of PHY202 and PHY304 is essential to follow this course.

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PHY643: Electrodynamics of continuous media

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PHY644: Foundations of quantum mechanics

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PHY645: Topics in quantum physics

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PHY646: Quantum field theory and the Standard Model

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Knowledge of the content of PHY424 is essential to follow this course.

Goal: To complete the introduction of all basic tools required for computation and interpretation of observables in High Energy Physics.

Course Outline

  1. Functional methods and Observables: Generating functionals, Vacuum bubbles, and Connected Green’s functions, Combinatorics from functional differentiation, Exact propagator and its spectral decomposition, Functional differentiation for fermionic fields, S matrix and LSZ formula, Feynman rules for scattering amplitudes, Scattering cross-section and Decay rate calculations.
  2. QED and U(1) gauge invariance: Photon propagator and gauge fixing, Feynman rules for QED, QED processes.
  3. Lie groups and Lie algebras: Unitary and orthogonal groups and their representations, Tensor methods, Non-abelian covariant derivative and field strength, gauge invariant action, Feynman rules for non-abelian theories.
  4. Spontaneous symmetry breaking: Goldstone theorem and Higgs mechanism, Unitary and R-xi gauges and massive vector propagators,
  5. Standard Model: Spontaneously broken chiral gauge theory, CKM mixing and charged Lepton masses, B, L symmetries of SM masses, Feynman rules for SM, Effective current current Fermi theory, Meson and Baryon currents, Pion decay constant, Propagator for unstable particles, FEYNCALC, FEYNRULES and MADGRAPH for automated tree calculation, Weinberg d=5 operator and neutrino masses, Neutrino oscillations.
  6. Loop diagrams in scalar QFT: Wick rotation, Feynman parameters and dimensional regularization, Passarino-Veltman functions and use of tables thereof, Power counting, BPHZ renormalization of phi3 + phi4 theory, Running mass and pole mass, anomalous dimensions, Running couplings, Renormalization Group and necessity use of running couplings.

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PHY647: Basic atomic collisions and spectroscopy

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PHY648: Laser fundamentals and applications

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PHY649: Advanced experiments in physics: Lasers and optics

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Course Outline This elective course aims to provide hands on training and exposure to the forefront of laser Physics and optical technology. The emphasis would be to assemble few thought provoking experiments from scratch on an optical-table. Indulging into some open-ended experimentation and original thinking would be encouraged.

One would learn nuts and bolts of various available lasers, including the Femtosecond laser system. Coherent manipulation of light by various (bio)-photonic crystal and opto-mechanics of fluid interfaces by radiation pressure shall be covered among other relevant topics.

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PHY650: Ultra low temperature physics

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Course outline The course will have lecture components that introduce both experimental and theoretical ideas in low temperature physics. The remaining hours will involve hands on experience in designing and experiments in the ultra low temperature laboratory.

Review of laws of thermodynamics

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PHY652: Phase transition and critical phenomena

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PHY653: Physics of polymers

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Course Outline Introduction to polymers, coarse-graining in polymers. Brownian motion and stochas-tic processes, Ornstein-Uhlenbeck process, FluctuationDissipation theorem, Correlation and response functions,Fokker-Planck and Smoluchowski equation and its application. Interacting Brownian particleshydrodynamic interactions and its origin. Review of equi-librium statistical mechanicscanonical and microcanonical ensembles.

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PHY654: Cosmology and galaxy formation

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Knowledge of the content of PHY635 is essential to follow this course.

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PHY655: Special topics in particle physics

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PHY656: Quantum principles and quantum optics

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PHY657: Radio-frequency and microwave circuits

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PHY658: Advanced QFT methods and special topics in high energy physics

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Knowledge of the content of PHY424 and PHY646 is essential to follow this course.

Goal: To cover advanced field theoretic methods and a selection of special topics in subareas of Theoretical High Energy Physics.

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Special Topics 1: GUTs and Supersymmetry

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Special Topics 2: Lattice field theory and Non-perturbative aspects of field theory

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Special Topics 3: Perturbative QCD and Collider Physics

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PHY660: Nonlinear optics

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PHY661: Selected topics in classical and quantum mechanics

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PHY662: Statistical physics of fields

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PHY663: Relativistic cosmology and the early universe

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Knowledge of the content of PHY635 is essential to follow this course.

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PHY664: Quantum thermodynamics

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Knowledge of the content of PHY202, PHY302 and PHY304 is essential to follow this course.

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PHY665: Quantum phases of matter and phase transitions

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PHY666: Open quantum systems

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Knowledge of the content of PHY302 and PHY403 is essential to follow this course.

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PHY667: Quantum magnetism

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PHY668: Soft condensed matter

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