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Quasiclassical 1/N Energy‐Formulas for Relativistic Two‐Body Systems
Author(s) -
Papp E.
Publication year - 1991
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19915030503
Subject(s) - physics , boson , fermion , scalar (mathematics) , mathematical physics , order (exchange) , coulomb , zeroth law of thermodynamics , mathematical proof , many body problem , theoretical physics , quantum mechanics , quantum electrodynamics , mathematics , geometry , finance , economics , electron
Quickly tractable energy‐formulas for relativistic two‐body systems are established to first 1/N‐order in terms of general classical Hamiltonians ( m 1 ≥ m 2 ). Arbitrary spherically‐symmetrical vector and/or scalar potentials are assumed. Such Hamiltonians, which have to be converted into related non‐relativistic ones, play the role of a dominant zeroth‐order approximation (an exact description) in the case of two fermions (two bosons). Proofs have also been given that the 1/N‐method is quite suitable for the systematic description of order‐dependent contributions to the energy of Coulomb‐Bethe‐Salpeter systems, now to α 6 ‐order.