Course Archives Theoretical Statistics and Mathematics Unit | ||||||||
Course: Quantum Mechanics I Instructor: Sukanya Sinha Room: G23 Level: Postgraduate Time: Currently offered |
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Syllabus Past Exams Syllabus: • (i) Physical Basis of Quantum Mechanics. (ii) Old Quantum theory. (iii) Uncertainty, Complimentarity and Duality. (iv) Measurement problems. (v) Heisenberg and Schrodinger representation. • (i) Schrodinger wave equation (ii) Perturbation theory. • Problem of two or more degrees of freedom without spherical symmetry; Stark effect. • Angular momentum, SU(2) algebra. • Three-dimensional Schrodinger equation. Problems with spherical symmetry. Harmonic Oscillator. • Scattering problem , differential cross section, phase shift, variational principle, SW transformation, Regge poles. • WKB approximation. • Particles with spin, Pauli matrices, Pauli-Schrodinger equation. Two and three body problems. Hydrogen atom in electric and magnetic field. • Quantum Statistics. Suggested Texts : (a) L.I. Schiff, Quantum Mechanics. (b) J.J. Sakurai, Modern Quantum Mechanics. (c) L. D. Landau and E. M. Lifshitz, Quantum mechanics: non-relativistic theory,Course of Theoretical Physics Vol 3, Pergamon Press Ltd (1958). (d) L.M. Falicov, Group theory and its physical applications, Univ of Chicago Press (1966). Evaluation:
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