Variational two-particle wave equation in scalar quantum field theory
We study two-particle systems in a model quantum field theory, in which scalar particles of different mass interact via a mediating scalar field. The Lagrangian of the model is reformulated using covariant Green's functions to solve for the mediating field in terms of the particle fields. This r...
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| Datum: | 2000 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2000
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/121002 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Variational two-particle wave equation in scalar quantum field theory / J. Darewych // Condensed Matter Physics. — 2000. — Т. 3, № 3(23). — С. 633-639. — Бібліогр.: 6 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We study two-particle systems in a model quantum field theory, in which
scalar particles of different mass interact via a mediating scalar field. The
Lagrangian of the model is reformulated using covariant Green's functions
to solve for the mediating field in terms of the particle fields. This results in
a Hamiltonian in which the mediating-field propagator appears directly in
the interaction term. The variational method, with a simple Fock-state trial
state, is used to derive a relativistic momentum-space two-particle wave
equation. Non-relativistic and one-particle limits of the equation are determined and discussed briefly |
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