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Variational Methods in Nuclear Collision Problems
Abstract
Variational methods, similar to the Rayleigh-Ritz method for bound state calculations, are developed for the phase shifts and elements of the scattering matrix in nuclear collisions. Numerical applications to neutron-proton and neutron-deuteron scattering involving trial functions with undetermined coefficients are described. Another variational principle, for scattering amplitudes, is shown to lead to the Born approximations and a formula recently derived by Schwinger. It may also be used in conjunction with the method of undetermined coefficients.
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Citations
Cited by
Variational Principles for Scattering Processes. I
Lippmann, B. A., & Schwinger, J. (1950) · Physical Review · doi:10.1103/physrev.79.469 · Cited by 1,308
Collisional Breakup in a Quantum System of Three Charged Particles
Rescigno, T. N., Baertschy, M., Isaacs, W. A., & McCurdy, C. W. (1999) · Science · doi:10.1126/science.286.5449.2474 · Cited by 465
Structure and dynamics of few-nucleon systems
Carlson, J., & Schiavilla, R. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.743 · Cited by 451
Scattering particles in quantum spin chains
Vanderstraeten, L., Verstraete, F., & Haegeman, J. (2015) · Physical Review B · doi:10.1103/physrevb.92.125136 · Cited by 50
Metadata
- Authors
- Kohn, W.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1948-12-15
- Volume
- 74
- Issue
- 12
- Pages
- 1763-1772
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2009280003
- Cited by
- 581
- References
- 0
- FWCI
- 4.18
- Type
- journal article
- Language
- en
- Open access
- closed
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