Published June 15, 1992
| Version v1
Journal article
Separatrix eigenfunctions
Creators
- 1. Department of Physics, University of Colorado, Boulder, Colorado 80309-0390 (United States)
Description
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 δ 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
Additional details
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 45
- Journal Issue
- 12
- Journal Page Range
- p. 8501-8512.
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24020049
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLASSICAL MECHANICS; EIGENFUNCTIONS; EXCITATION FUNCTIONS; MATRIX ELEMENTS; NOISE; NONLINEAR PROBLEMS; POTENTIALS; PROBABILITY; QUANTUM MECHANICS; QUANTUM NUMBERS; SENSITIVITY
- Descriptors DEC
- FUNCTIONS; MECHANICS