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5th January 2017, 04:38 PM
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| Re: Pune University Physics Department
The syllabus of M. Sc. (Physics) program offered by Department of Physics of Savitribai Phule Pune University is as follows: QUANTUM MECHANICS – I Module 1 : 2 credits (20L + 10T) 1-D problems in quantum mechanics: Wells and barriers, Harmonic oscillator, Hermite polynomials and their properties, Qualitative plots of wave functions and their interpretation Formalism of Quantum Mechanics: State Vectors, Observables and operators, Ket space, Bra space and Inner product, Hermitian operators, Eigenvalues and Eigenfunctions, Completeness, Matrix representation of states and operators, Commutability and compatibility, Uncertainty relation for x and p from their commutator, Change of basis, Unitary transformations, Representations in different bases Time-evolution of a quantum system: Schrödinger, Heisenberg and Interaction pictures, Constants of the motion. Simple harmonic oscillator by operator method, States with minimum uncertainty product, Coherent States, Landau level problem. Module 2 : 2 credits (20L + 10 T) Theory of angular momentum : Orbital angular momentum operators, Commutation relations, Raising and lowering operators, Representation of operators and states in spherical coordinates, Spherical harmonics, Plots for spherical harmonics. Spherically symmetric potentials, Solution of hydrogen atom problem, Plots for wave functions. Intrinsic Spin angular momentum: Pauli matrices and spin 1/2 eigenstates. Addition of angular momenta, Clebsch -Gordan coefficients, Wigner-Eckart theorem(statement). Identical particles, Spin and Statistics. Symmetric and antisymmetric wave functions, Slater determinants and Permanents. Symmetry in quantum mechanics : Space and time translations, discrete lattice translations, Discrete Parity and time reversal symmetries. Quantum measurements: Wave function collapse, Spin correlation measurements and Bell's inequality, entanglement.   |