Mathematical Physics-Quantum Physics-Course Outline, Lecture notes of Quantum Physics

This is outline for Quantum Physics course. Sir Lalitchandra Iyer gave this at Ambedkar University, Delhi. It includes: Partial, Ordinary, Differential, Wronskian, Green, Legendre, Bessel, Hermite, Laguerre, Polynomial

Typology: Lecture notes

2011/2012

Uploaded on 07/19/2012

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Mathematical๎˜ƒPhysics:๎˜ƒPAM๎˜ƒ507๎˜ƒ
(Feb๎˜ƒ7,๎˜ƒ2012๎˜ƒto๎˜ƒMay๎˜ƒ16,๎˜ƒ2012)๎˜ƒ
๎˜ƒ
๎˜ƒ
Topics intended to be covered:
๎˜ƒ
1.๎˜ƒPartial๎˜ƒDifferential๎˜ƒEquations๎˜ƒ(PDE)๎˜ƒ
2.๎˜ƒOrdinary๎˜ƒDifferential๎˜ƒEquations๎˜ƒ(ODE)๎˜ƒ
3.๎˜ƒ๎˜ƒWronskian๎˜ƒ
4.๎˜ƒApplications๎˜ƒof๎˜ƒWronskian๎˜ƒ
5.๎˜ƒGreenโ€™s๎˜ƒFunction๎˜ƒfor๎˜ƒinitial๎˜ƒvalue๎˜ƒand๎˜ƒboundary๎˜ƒvalue๎˜ƒproblems๎˜ƒ
6.๎˜ƒSpecial๎˜ƒFunctions๎˜ƒ
๎˜ƒ๎˜ƒ(a)๎˜ƒLegendre๎˜ƒ๎˜ƒPolynomial๎˜ƒ
๎˜ƒ๎˜ƒ(b)๎˜ƒBessel๎˜ƒFunction๎˜ƒ
๎˜ƒ๎˜ƒ(c)๎˜ƒHermite๎˜ƒPolynomial๎˜ƒ
๎˜ƒ๎˜ƒ(d)๎˜ƒLaguerre๎˜ƒPolynomial๎˜ƒ
7.๎˜ƒStumโ€Liouville๎˜ƒsystem๎˜ƒ
8.๎˜ƒGeneralized๎˜ƒCoordinate๎˜ƒsystem๎˜ƒ
8.๎˜ƒTensor๎˜ƒAnalysis๎˜ƒ
10.๎˜ƒHypergeometric๎˜ƒseries๎˜ƒ
11.๎˜ƒConfluent๎˜ƒHypergeometric๎˜ƒseries๎˜ƒ
๎˜ƒ
๎˜ƒ
Books:๎˜ƒ
๎˜ƒ
(a)๎˜ƒClass๎˜ƒnotes๎˜ƒ
(b)๎˜ƒG.B.๎˜ƒArfken๎˜ƒand๎˜ƒH.๎˜ƒWeber,๎˜ƒโ€œ๎˜ƒMathematical๎˜ƒMethods๎˜ƒfor๎˜ƒPhysicistsโ€๎˜ƒ,๎˜ƒ
Academic๎˜ƒPress,๎˜ƒ2000๎˜ƒ
(c)๎˜ƒP.Dennery๎˜ƒand๎˜ƒA.๎˜ƒKrzywicki,๎˜ƒMathematics๎˜ƒfor๎˜ƒPhysicists,๎˜ƒHarper๎˜ƒand๎˜ƒRow,๎˜ƒ
1996๎˜ƒ
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Mathematical Physics: PAM 507

(Feb 7, 2012 to May 16, 2012)

Topics intended to be covered:

  1. Partial Differential Equations (PDE)
  2. Ordinary Differential Equations (ODE)
  3. Wronskian
  4. Applications of Wronskian
  5. Greenโ€™s Function for initial value and boundary value problems
  6. Special Functions (a) Legendre Polynomial (b) Bessel Function (c) Hermite Polynomial (d) Laguerre Polynomial
  7. Stum โ€ Liouville system
  8. Generalized Coordinate system
  9. Tensor Analysis
  10. Hypergeometric series
  11. Confluent Hypergeometric series Books: (a) Class notes (b) G.B. Arfken and H. Weber, โ€œ Mathematical Methods for Physicists โ€ , Academic Press, 2000 (c) P.Dennery and A. Krzywicki, Mathematics for Physicists , Harper and Row, 1996

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