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Calculation of expectation values and matrix elements for symmetric double-well potentials. I. General theory according to phase-integral method: Rolf Paulsson and Nanny Fröman, 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

Calculation of expectation values and ma
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
📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 77 KB

Phase-Integral Calculation of Quanta1 Matrix Elements of exp{ -ax} between Unbound States in the One-Dimensional Potential C exp{ -ax}.

Phase-integral calculation of quantal ma
Phase-integral calculation of quantal matrix elements of exp{−ax} between unbound states in the one-dimensional potential C exp{−ax}: P. O. Fröman, A. Hökback, E. Walles, and S. Yngve, Institute of Theoretical Physics, University of Uppsala, Thunbergsvägen 3, S-752 38 Uppsala, Sweden
📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 125 KB

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