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Phys. Rev. E 64, 026215 (2001) [11 pages]

Replacement manifolds: A method to uniformize semiclassical wave functions

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Jiří Vaníček and Eric J. Heller
Department of Physics, Harvard University, Cambridge, Massachusetts 02138

Received 31 January 2001; revised 2 May 2001; published 19 July 2001

We present a semiclassical technique that relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassical rules. Under circumstances where the original manifold structure gives poor or useless results semiclassically the replacement manifolds can yield remarkable accuracy. We give several working examples to illustrate the theory presented here.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.026215
DOI:
10.1103/PhysRevE.64.026215
PACS:
05.45.Mt, 03.65.Sq, 34.50.Dy