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Two-Body Dirac Equations for Relativistic Bound States of Quantum Field Theory

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arxiv hep-ph/9912386 v2 pith:ZCTUSG2S submitted 1999-12-16 hep-ph nucl-th

classification hep-phnucl-th
keywords two-bodydiracequationsfieldprovidedquantumrelativistictheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We review a little-known treatment of the relativistic two-body bound-state problem - that provided by Two-Body Dirac Equations obtained from constraint dynamics. We describe some of its more important results, its relation to older formulations and to quantum field theory. We list a number of features crucial for the success of such a formulation, many of which are missing from other methods; we show how the treatment provided by Two-Body Dirac Equations encompasses each of them.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories

    physics.gen-ph 2026-05 unverdicted novelty 7.0 of 10

    The paper constructs functional flat bundles with rational connections on infinite-dimensional manifolds to generalize Hamiltonian and renormalization group evolution in QFT, concluding spacetime notions emerge as spe...

  2. A deep neural network approach to solve the Dirac equation

    quant-ph 2024-12 conditional novelty 6.0 of 10

    A deep neural network with an inverse-Hamiltonian loss function solves the radial Dirac equation for ground and excited states, validated on hydrogen and Woods-Saxon potentials.

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