Syllabus
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Course Code: EP-802 Course Name: Quantum Mechanics-II |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Variational methods Ground state of Helium by both variational and perturbation methods; The hydrogen molecule; WKB approximation; Time dependent perturbation theory; Constant perturbation; Harmonic perturbation; Fermi's golden rule; Adiabatic and sudden approximation. |
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| 2 | Semi-classical theory of radiation Transition probability for absorption and induced emission; Electric dipole transition and selection rules; Magnetic dipole transitions; Forbidden transitions; Higher order transitions; Einstein's coefficients. |
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| 3 | Collision in 3D and scattering Laboratory and C.M. reference frames; scattering amplitude; Differential scattering cross section and total scattering cross section; The optical theorem; Scattering by spherically symmetric potentials; Partial waves and phase shifts; Scattering by a perfectly rigid sphere and by square well potential; Complex potential and absorption; The Born approximation. |
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| 4 | Identical particles The principle of indistinguishability; Symmetric and antisymmetric wave functions; Spin and statistics of identical particles; The Slater determinant; The Pauli exclusion principle; Spin states of a two electron system; States of the helium atom; Collision of identical particles-scattering of two spinless boson, scattering of two identical fermions of spin half. Relativistic Quantum Mechanics Introduction, Klein-Gordan (KG) and Dirac’s relativistic equation, free particle wavefunction, conservation of angular momentum. |
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