Coherent States for General Potentials. 6. Conclusions About the Classical Motion and the {WKB} Approximation

Nieto, Michael Martin; Simmons, L.M., Jr.; Gutschick, Vincent P.

doi:10.1103/PhysRevD.23.927

Coherent States for General Potentials. 6. Conclusions About the Classical Motion and the {WKB} Approximation

Oct, 1980

20 pages

Published in:

Phys.Rev.D 23 (1981) 927

DOI:

10.1103/PhysRevD.23.927

Report number:

LA-UR-80-2659

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Abstract: (APS)

The minimum-uncertainty coherent states empirically provide an approximation to the motion of a classical particle. This can be understood conceptually. One can obtain a relationship between the WKB approximation and the definition of the minimum-uncertainty coherent states. This definition is in terms of the "natural" quantum operators, which connect only adjacent energy eigenstates. The classical form of these operators is also related to the WKB approximation. In the Appendix we comment on the origin of "exact" WKB results.

QUANTUM MECHANICS: COHERENT STATE
APPROXIMATION: WKB approximation

References(25)

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