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The exact calculation of long-range forces between atoms by perturbation theory
Abstract
A general sum rule is described which has many variants; it permits, for example, the exact calculation of the long-range forces between a proton and a hydrogen atom using conventional perturbation theory. The method is exemplified by the calculation of the second-order term and a precise assessment of the significance of the continuum states is made. The basic identity for a given function g is (r|gl8)/(Er — Es)≡(r |f|8 ), where the function f satisfies a certain differential equation (13). The limitation of the method is the difficulty which may arise in solving the equation. The sum rule technique appears to have applications to many fields.
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Cited by
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The physical basis of the hard/soft acid/base principle
Ayers, P. W. (2007) · Faraday Discuss. · doi:10.1039/b606877d · Cited by 419
Photoionization of atoms using synchrotron radiation
Schmidt, V (1992) · Reports on Progress in Physics · doi:10.1088/0034-4885/55/9/003 · Cited by 388
Topics on Multiphoton Processes in Atoms
Lambropoulos, P. (1976) · Advances in Atomic and Molecular Physics · doi:10.1016/s0065-2199(08)60043-3 · Cited by 331
Diamagnetic correction to the9Be+ground-state hyperfine constant
Shiga, N., Itano, W. M., & Bollinger, J. J. (2011) · Physical Review A · doi:10.1103/physreva.84.012510 · Cited by 30
Metadata
- Authors
- Dalgarno, A., & Lewis, J. T.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1955-12-06
- Volume
- 233
- Issue
- 1192
- Pages
- 70-74
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2159997755
- Cited by
- 748
- References
- 0
- FWCI
- 4.80
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dalgarno, A., & Lewis, J. T. (1955). The exact calculation of long-range forces between atoms by perturbation theory. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1955.0246
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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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