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Semirelativistic Hamiltonians of apparently nonrelativistic form

Semirelativistic Hamiltonians of apparently nonrelativistic form We construct effective Hamiltonians which, despite their apparently nonrelativistic form, incorporate relativistic effects by involving parameters which depend on the relevant momentum. For some potentials the corresponding energy eigenvalues may be determined analytically. Applied to two-particle bound states, it turns out that in this way a nonrelativistic treatment may indeed be able to simulate relativistic effects. Within the framework of hadron spectroscopy, this lucky circumstance may be an explanation for the sometimes extremely good predictions of nonrelativistic potential models even in relativistic regions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Semirelativistic Hamiltonians of apparently nonrelativistic form

Physical Review A , Volume 51 (6) – Jun 1, 1995
8 pages

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References (14)

Publisher
American Physical Society (APS)
Copyright
Copyright © 1995 The American Physical Society
ISSN
1094-1622
DOI
10.1103/PhysRevA.51.4419
Publisher site
See Article on Publisher Site

Abstract

We construct effective Hamiltonians which, despite their apparently nonrelativistic form, incorporate relativistic effects by involving parameters which depend on the relevant momentum. For some potentials the corresponding energy eigenvalues may be determined analytically. Applied to two-particle bound states, it turns out that in this way a nonrelativistic treatment may indeed be able to simulate relativistic effects. Within the framework of hadron spectroscopy, this lucky circumstance may be an explanation for the sometimes extremely good predictions of nonrelativistic potential models even in relativistic regions.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Jun 1, 1995

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