Separatrix eigenfunctions
Journal Article
·
· Physical Review A. General Physics; (United States)
- Department of Physics, University of Colorado, Boulder, Colorado 80309-0390 (United States)
Near-separatrix eigenfunctions for the double-well potential are analyzed. These functions are needed for the study of systems with perturbed or slowly varying double-well potentials. The probability density of separatrix eigenfunctions collapses to the classical result (a {delta} function at the unstable fixed point) logarithmically with the number of quantum states. Matrix elements with respect to this basis are also studied. Unlike the wave functions, the unnormalized matrix elements are nonsingular in the limit of large quantum number.
- DOE Contract Number:
- FG02-85ER53207
- OSTI ID:
- 7036267
- Journal Information:
- Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 45:12; ISSN 1050-2947; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
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