Topics in Quantum Theory of Angular Momentum

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Topics in Quantum Theory of Angular Momentum

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dc.contributor.author Rajeswari, V.
dc.date.accessioned 2009-08-07T10:06:03Z
dc.date.available 2009-08-07T10:06:03Z
dc.date.issued 2009-08-07T10:06:03Z
dc.date.submitted 1989
dc.identifier.uri http://hdl.handle.net/123456789/59
dc.description.abstract Quantum theory of angular momentum provides an invaluable tool for all quantum mechanical phenomena, occuring in the fields of atomic, molecular, and nuclear physics. The symmetries of Angular Momentum coupling and Angular momentum recoupling coefficients are viewed in terms of sets of hypergeometric functions of unit argument and their polynomial or non-trivial zeros are studied. A fundamental theorem dealing with the minimum number of parameters necessary and sufficient to obtain the complete set of solutions for multiplicative diophantine equations of degree n is stated and proved. The complete set of solutions for the polynomial zeros of degree 1 of the 6-j coefficient is targetted and related to the solutions of the homogeneous multiplicative diophantine equation of degree 3; Raising factorial, lowering factorial formal binomial expansions are obtained. Triple sum series is evaluated as a folded triple sum. The identification of the triple sum series with a triple hypergeometric series in chapter 5 enables for the first time the study of polynomial or non-trivial zeros for the 9-j coefficient. The conventional single sum over the product of three 6-j coefficients will not reveal these polynomial zeros. en_US
dc.subject Angular Momentum en_US
dc.subject Quantum Theory en_US
dc.title Topics in Quantum Theory of Angular Momentum en_US
dc.type.degree Ph.D en_US
dc.type.institution University of Madras en_US
dc.description.advisor Srinivasa Rao, K.
dc.description.pages vi; 229p. en_US
dc.type.mainsub Physics en_US

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