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Calculation of Matrix Elements for One-Dimensional Quantum-Mechanical Problems and the Application to Anharmonic Oscillators
Abstract
A simple method using the techniques of transformation theory for the generation of the matrix elements of unusual potential functions for one-dimensional quantum-mechanical problems is described. It is applicable both to functions which exist as a set of points, for example, a curve or table, as well as to those in explicit form. Some representative calculations have been made for anharmonic oscillators.
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Citations
Cited by
Generalized discrete variable approximation in quantum mechanics
Light, J. C., Hamilton, I. P., & Lill, J. V. (1985) · The Journal of Chemical Physics · doi:10.1063/1.448462 · Cited by 1,749
Manthe, U., Meyer, H.-D., & Cederbaum, L. S. (1992) · The Journal of Chemical Physics · doi:10.1063/1.463007 · Cited by 998
R12 methods in explicitly correlated molecular electronic structure theory
Klopper, W., Manby, F. R., Ten-No, S., & Valeev, E. F. (2006) · International Reviews in Physical Chemistry · doi:10.1080/01442350600799921 · Cited by 425
Numerical path integral techniques for long time dynamics of quantum dissipative systems
Makri, N. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531046 · Cited by 377
Topaler, M., & Makri, N. (1994) · The Journal of Chemical Physics · doi:10.1063/1.468244 · Cited by 310
Metadata
- Authors
- Harris, D. O., Engerholm, G. G., & Gwinn, W. D.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1965-09-01
- Volume
- 43
- Issue
- 5
- Pages
- 1515-1517
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2094706090
- Cited by
- 644
- References
- 0
- FWCI
- 2.07
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Calculation of Matrix Elements for One-Dimensional Quantum-Mechanical Problems and the Application to Anharmonic Oscillators. https://app.cochat.ai/papers/10.1063/1.1696963
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- Harris, D. O., Engerholm, G. G., & Gwinn, W. D. (1965). Calculation of Matrix Elements for One-Dimensional Quantum-Mechanical Problems and the Application to Anharmonic Oscillators. The Journal of Chemical Physics. https://doi.org/10.1063/1.1696963
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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