M.Sc Physics - Skymount Distance Education

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SUBJECT CODE: 3.3SUBJECT: QUANTUM MECHANICS-I1. Revision of the following topics with emphasis on problem solving:Inadequacy of classical Physics, wave packets and uncertainity relations.Schrodinger wave equation and probability interpretation, Simple onedimensional problems –wells, barriers and harmonic oscillator ( One and three dimensional). (6L+ 5P)2. General formalism of Quantum Mechanics :-Postulates of quantum mechanics :Representation of states and dynamical variables, observables, selfadjointoperators, eigenfunctions and eigen values, degeneracy, Dirac delta function,Completeness and closure property,Physical interpretation of eigen values, eigen functions and expansion coefficients,eigen valuesand eigen functions of momentum operator.Hilbert space, Dirac’s bra and ket notation, dynamical variables andlinear operators,projection operators, unit operator, unitary operator, matrixrepresentation of an operator, change ofbasis, unitary transformation. Eigen values and eigen functions of simpleharmonic oscillator byoperator method. (13L +4P)Ref. 1. a) Chapter 3 (article 3.1 to 3.10)b) Chapter 7 (article 7.1 to 7.7)c) Chapter 4 ( article 4.4)3. Angular Momentum :Eigen values and eigen functions of L2 and Lz operators, ladderoperators L+ and L-, Pauli
theory of spins( Pauli’s matrices), angular momentum as a generator ofinfinitesimal rotations, matrixrepresentation of J in ljm> basis. Addition of angular momenta,Computation of Clebsch-Gordonco-efficients in simple cases ( J1=1/2, J2=1/2) Central forces with anexample of hydrogen atom.Ref. 1. Chapter 8 ( article 8.1 to 8.3, 8.5, 8.6) (11L+4P)4. Evolution of system with time :Constants of motion, Schrodinger and Heisenberg picture, Heisenberg’smatrix mechanicsfor harmonic oscillator .Ref..1. Chapter 3 (article 3.14)Chapter 9 (article 9.16 to 9.18) (4L +1P)Reference books :-1) A Text-book of Quantum Mechanics by P.M.Mathews andK.Venkatesan.2) Quantum mechanics by A.Ghatak and S.Lokanathan3) Quantum Mechanics by L.I.Schiff4) Modern Quantum mechanics by J.J.Sakurai5) Quantum Physics by R. Eisberg and R.Resnick6) Introduction to Quantum Mechanics by by David J.Griffiths7) Introductory Quantum mechanics by Granier, Springer Publication.8) Introductory Quantum Mechanics, Li boff, 4th Edition, PearsonEducation Ltd.
Page 2 and 3: KARANATAKA STATE OPEN UNIVERSITYM.S
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M.Sc Physics - Skymount Distance Education

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