M.Sc Physics - Skymount Distance Education

SUBJECT CODE: 2.3SUBJECT: QUANTUM MECHANICSUNIT ISchrodinger equation - free particle in one dimension - Generalization tothree dimension - Shrodinger equation for a particle subjected to a force -continuity equation - normalization - probability interpretation.-conservation of probability - Ehrenfast theorem - time independentShrodinger equation - particle in a square well potential - bound states in asquare well E 0 - Adjoint and self adjontoperators - eigenvalue problem - degeneracy - eigenvalues andeigenfunctions of self adjoint operators^ uncertainty principle - proofcommutation relations.UNIT IIAngular momentum in quantum mechanic - central force problems -addition of angular momenta - exactly solvable eigenvalue problems - thesimple harmonic oscillator - Hydrogenatom - Rigid rotator - schrodinger,Heisenberg and interaction pictures - matrix theory of harmonic oscillator -Raising and lowering operators.UNIT IIIStationary perturbation theory -1 arid II order perturbation of oscillator -Zeeman effect without electron spin - variation method - ground state ofhelium - WKB approximation - Time dependent perturbation theory - FermiGolden rule.UNIT IVScattering theory - kinematics of scattering process - scattering amplitudesand scattering cross section - partial wave analysis from simple potentials -phase shift - scattering amplitude in terms of phase - Optical theorem -Born approximation - Scattering by a perfectly rigid system - square well,coulomb arid Yukawa potentials.