Semiclassical matrix-mechanics. II. Angular momentum operators
نویسنده
چکیده
Semiclassical angular momentum matrices are calculated using a new contourintegral formula for matrix-elements WKB sphencal harrnonic functions are found to be exactly orthonormal with the contour-integral inner-product Matnx-elements obtained from these wavefunctions are accurate to about 2 9b and the matrices obey the cornrnutation relations expected of quantum angular momentum operators The semiclassical wave-functions are related to a superposition of allowed classical orbits and this illustrates the connection to the Feynman pathsummation formulation of quantum mechanics for electrons m a spherically syrnrnetnc potential.
منابع مشابه
SWKB for the Angular Momentum
It has been recently shown [M. Robnik and L. Salasnich, J. Phys. A: Math. Gen., 30, 1719 (1997)] that the WKB series for the quantization of angular momentum L converges to the exact value L = h̄l(l + 1), if summed over all orders, and gives the Langer formula L = h̄(l + 1/2) at the leading order. In this work we solve the eigenvalue problem of the angular momentum operator by using the supersymm...
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