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Pune University - Pune University - Sem - II : Quantum Mechanics II, April 2010 (Old Course)

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Total No. of Questions : 7] P877 [Total No. of Pages : 2 [3722]-24 M. Sc. PHYSICS PHY UT - 604 : Quantum Mechanics II (Old Course) (2005 Pattern) (Sem. - II) Time : 3 Hours] [Max. Marks : 80 Instructions to the candidates : 1) Question No. 1 is compulsory. 2) Attempt any four from remaining. 3) Draw neat diagrams wherever necessary. 4) Figures to the right indicate full marks. 5) Use of Mathematical tables and calculators are allowed. Q1) Attempt any four from following : a) Find the Eigen values of exchange operator P12 for identical particles.[4] b) Discuss validity conditions of W.K.B. approximation. c) Show that the total energies in Laboratory and centre of mass system is related by Tcm = m2 TLab . m1 + m2 [4] [4] d) Discuss the selection rule for electric dipole approximation. e) What is perturbation? Develop first order perturbation equations for stationary states. [4] f) Discuss role of symmetry in quantum mechanics. [4] Obtain Slator s determinant for system of N electrons. [8] Q2) a) [4] b) Explain the term differential cross section. Show that differential cross section is directly proportional to scattering amplitude. [8] Q3) a) Using variation method obtain an expression for ground state of hydrogen atom. [8] P.T.O.

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Additional Info : M.Sc. PHYSICS, PHY UT - 604 : Quantum Mechanics II (Old Course) (2005 Pattern) (Semister - II), Pune University
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