Course Archives Theoretical Statistics and Mathematics Unit
Course: Quantum Mechanics I
Level: Postgraduate
Time: Currently not offered
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).


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Past Exams
Midterm
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Semestral
Supplementary and Back Paper

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