Department of physics, University of Pennsylvania, Philedelphia, Pennsylvania 19104
Recieved 27 November 1978; published in the issue dated june 1979
The triaxial quantum rotor is studied for large values of angular momentum by the methods of matrix mechanics. Interest is focused on states in the neighborhood of the ground state (yrast state) for a prescribed value of the angular momentum, corresponding to the wobbling motion of classical mechanics. An algorithm is described for obtaining the energy vlaues and the matrix elements of the angular momentum operators in the intrinsic frame, to arbitrary order, as power series in the reciprocal of the numerical value of the angular momentum quantum number, starting with assigned semiclassical values. The program is carried out analytically up to the third approximation. Conditions of validity are give. The structure of the wave functiopns is described.
NUCLEAR STRUCTURE Asymmetric rotor, solution by matrix mechanics, high spins.
(C) 1979 The American Physical Society
DOI:
10.1103/PhysRevC.19.2349
(C) 1979 The American Physical Society
DOI:
10.1103/PhysRevC.19.2349
*Now at the Theoretical Physics Branch, Chalk River Nuclear Laboratories, Chalk River, Ontario, K0J1J0, Canada.
I remember very well that i used matrices a lot to solve mechanics of material problems but i didn't know the easy and short ways that we are learning in linear algebra ..... Linear algebra makes life easier
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