Download PDF by Clyde A. Morrison: Angular Momentum Theory Applied to Interactions in Solids

By Clyde A. Morrison

ISBN-10: 3540189904

ISBN-13: 9783540189909

ISBN-10: 3642933769

ISBN-13: 9783642933769

From December 1985 via March 1986 the textual content of this publication shaped the foundation of an in-hours path taught by way of the writer at Harry Diamond Laborato­ ries. massive counsel in revising and organizing the 1st draft used to be given via John Bruno. the unique draft of those notes was once in line with a suite of lectures added on the Universidade Federal de Pernambuco, Recife, Brazil, among 2 November 1981 and a couple of December 1981. The stopover at to Recife was once a reaction to an invi tation of Professor Gilberto F. de Sa of the Physics division. within the coaching of those notes I made many requests of my coworkers for prior resul ts and memories of our early paintings. between these consul ted have been Donald Wortman, Nick Karayianis, and Richard Leavitt. additional, a few .suggestions from my Brazilian colleagues helped make the lectures extra transparent. specific between those have been Professor Oscar Malta and Professor Alfredo A. da Gama either one of whom I desire to thank for his or her support. Encouragement and counsel with investment for far of this paintings got here from Leon Esterowitz of the Naval learn Laboratory and Rudolph Buser and Albert Pinto of the heart for evening imaginative and prescient and Electro-Optics.

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1 ) ( 22. sj') 62 From the rules for rearranging the arguments of an X-coefficient, we have the above equal to x (~sj ; ~sj , ; 11 k ) and when k 0 we get (Judd, 1963, p 67; Rose, 1957, P 192) [s(2j+1)] 1/2 W(~s~s;J1) (see also Brink and Satchler, 1962, p 119). +1)(2t+1)s(s+1)(2s+1)]1/2 ( n) and from equation (m) o J 2° =~[t(t+1) 213 + s(s+1) - j(j+1)] (0 ) Now when k = 0 in Tkq as defined at the beginning, TOO = I a

Merzbacher, E. (1961), Quantum Mechanics, Wiley, New York, NY. Rose, M. E. (1957), Elementary Theory of Angular Momentum, Wiley, New York, NY. , R. Bevins, N. Metropolis, and J. K. Wooten, Jr. (1969), The 3-j and 6-j Symbols, MIT Press, Cambridge, MA. 33 Schiff, L. I. , McGraw-Hill, New York, NY. Sobelman, 1. 1. (1979), Atomic Spectra and Radiative Transitions, SpringerVerlag, New York, NY. Watanabe, H. (1966), Operator Methods in Ligand Field Theory, Prentice-Hall, Englewood Cliffs, NJ. Wybourne, B.

Substituting these results into (d) gives where we have used the same technique used in (e) on the second matrix element in (d). (m'» Comparing this result to (b) we obtain (h) 1. l 13 <1 = [1(1+1)(21+3)(21-1)J 1/2 316 2 2. 1. > for K = 0, 1, 2, 3. 2 1/2 Bibliography and References Brink, D. , and G. R. , pp 40-45 and 116-118. Edmonds, A. R. (1957), Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, NJ, pp 92-100.

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Angular Momentum Theory Applied to Interactions in Solids by Clyde A. Morrison

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