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angular momentum operator

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1: 14.30 Spherical and Spheroidal Harmonics
14.30.11 L 2 Y l , m = 2 l ( l + 1 ) Y l , m , l = 0 , 1 , 2 , ,
Here, in spherical coordinates, L 2 is the squared angular momentum operator:
14.30.12 L 2 = - 2 ( 1 sin θ θ ( sin θ θ ) + 1 sin 2 θ 2 ϕ 2 ) ,
and L z is the z component of the angular momentum operator
14.30.13 L z = - i ϕ ;
2: Brian R. Judd
Judd’s books include Operator Techniques in Atomic Spectroscopy, published by McGraw-Hill in 1963 and reprinted by Princeton University Press in 1998, Second Quantization and Atomic Spectroscopy, published by Johns Hopkins in 1967, Topics in Atomic and Nuclear Theory (with J. … Elliott), published by Caxton Press in 1971, and Angular Momentum Theory for Diatomic Molecules, published by Academic Press in 1975. …
3: Bibliography J
  • S. Jorna and C. Springer (1971) Derivation of Green-type, transitional and uniform asymptotic expansions from differential equations. V. Angular oblate spheroidal wavefunctions p s ¯ n r ( η , h ) and q s ¯ n r ( η , h ) for large h . Proc. Roy. Soc. London Ser. A 321, pp. 545–555.
  • B. R. Judd (1975) Angular Momentum Theory for Diatomic Molecules. Academic Press, New York.
  • B. R. Judd (1998) Operator Techniques in Atomic Spectroscopy. Princeton University Press, Princeton, NJ.
  • 4: Bibliography B
  • M. V. Berry (1980) Some Geometric Aspects of Wave Motion: Wavefront Dislocations, Diffraction Catastrophes, Diffractals. In Geometry of the Laplace Operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), Vol. 36, pp. 13–28.
  • T. A. Beu and R. I. Câmpeanu (1983a) Prolate angular spheroidal wave functions. Comput. Phys. Comm. 30 (2), pp. 187–192.
  • L. C. Biedenharn and J. D. Louck (1981) Angular Momentum in Quantum Physics: Theory and Application. Encyclopedia of Mathematics and its Applications, Vol. 8, Addison-Wesley Publishing Co., Reading, M.A..
  • L. C. Biedenharn and H. van Dam (Eds.) (1965) Quantum Theory of Angular Momentum. A Collection of Reprints and Original Papers. Academic Press, New York.
  • D. M. Brink and G. R. Satchler (1993) Angular Momentum. 3rd edition, Oxford University Press, Oxford.