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Pune University - Sem - II : Quantum Mechanics - II, April 2010

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Total No. of Questions : 7] P887 [Total No. of Pages : 3 [3722]-204 M. Sc. PHYSICS PHY2 UTN - 604 : Quantum Mechanics - II (New Course) (2008 Pattern) (Sem. - II) Time : 3 Hours] [Max. Marks : 80 Instructions to the candidates : 1) Question No. 1 is compulsory. Solve any four questions from remaining. 2) Draw neat diagrams wherever necessary. 3) Figures to the right indicate full marks. 4) Use of Logarithmic tables and calculator is allowed. Q1) Attempt any four of the following : a) Explain the conditions of the validity of W. K. B. approximation. [4] b) What is perturbation? Develope the first and second order perturbation equations for stationary states. [4] c) Find the energy levels and eigen functions of Hamiltonian 1+ H= where << 1, corrected upto first order in by 1 + using perturbation theory. d) [4] The scattering amplitude by partial wave analysis is : 1 f ( )= k (2l + 1) exp (i l) sin l Pl (cos ) where symbols have their l=0 usual meaning. Hence obtain optical theorem. e) [4] Show that the angle of scattering in Laboratory frame ( L) and in the centre of mass frame ( C) are related by : tan L sin C = m1 + cos m2 C [4] P.T.O.

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Additional Info : M.Sc. PHYSICS, PHY UTN - 604 : Quantum Mechanics - II (New Course) (2008 Pattern) (Semister - II), Pune University
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