Phase-Integral Calculation of Quanta1 Matrix Elements of exp{ -ax} between Unbound States in the One-Dimensional Potential C exp{ -ax}.
Calculation of expectation values and matrix elements for symmetric double-well potentials. II. Investigation of the accuracy of phase-integral formulas: Rolf Paulsson, Institute of Theoretical Physics, University of Uppsala, Thunbergsvägen 3, S-752 38 Uppsala, Sweden
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 77 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
Phase-Integral Calculation of Quanta1 Matrix Elements of exp{ -ax} between Unbound States in the One-Dimensional Potential C exp{ -ax}.
📜 SIMILAR VOLUMES
The linear plus Coulomb potential V(r) =ar-b/r is considered. The first-, third, and fifth-order phase-integral formulas for expectation values of integer powers of r are expressed in terms of complete elliptic integrals. It is pointed out how these results can be used to calculate the probability
An exact formula for quanta1 expectation values associated with bound states in a general potential is derived. The formula does not contain wavefunctions, but is expressed in terms of derivatives, with respect to an auxiliary parameter and with respect to the energy, of a function appearing in an e