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- Two-body_Dirac_equations abstract "In quantum field theory, and in the significant subfields of quantum electrodynamics and quantum chromodynamics, the two-body Dirac equations (TBDE) of constraint dynamics provide a three-dimensional yet manifestly covariant reformulation of the Bethe–Salpeter equation for two spin-1/2 particles. Such a reformulation is necessary since without it, as shown by Nakanishi, the Bethe–Salpeter equation possesses negative-norm solutions arising from the presence of an essentially relativistic degree of freedom, the relative time. These \"ghost\" states have spoiled the naive interpretation of the Bethe–Salpeter equation as a quantum mechanical wave equation. The two-body Dirac equations of constraint dynamics rectify this flaw. The forms of these equations can not only be derived from quantum field theory they can also be derived purely in the context of Dirac's constraint dynamics and relativistic mechanics and quantum mechanics. Their structures, unlike the more familiar two-body Dirac equation of Breit, which is a single equation, are that of two simultaneous quantum relativistic wave equations. A single two-body Dirac equation similar to the Breit equation can be derived from the TBDE. Unlike the Breit equation, it is manifestly covariant and free from the types of singularities that prevent a strictly nonperturbative treatment of the Breit equation.In applications of the TBDE to QED, the two particles interact by way of four-vector potentials derived from the field theoretic electromagnetic interactions between the two particles. In applications to QCD, the two particles interact by way of four-vector potentials and Lorentz invariant scalar interactions, derived in part from the field theoretic chromomagnetic interactions between the quarks and in part by phenomenological considerations. As with the Breit equation a sixteen-component spinor Ψ is used.".
- Two-body_Dirac_equations wikiPageExternalLink v23p0043.pdf.
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- Two-body_Dirac_equations wikiPageRevisionID "699007681".
- Two-body_Dirac_equations wikiPageWikiLink Bethe–Salpeter_equation.
- Two-body_Dirac_equations wikiPageWikiLink Breit_equation.
- Two-body_Dirac_equations wikiPageWikiLink Canonical_coordinates.
- Two-body_Dirac_equations wikiPageWikiLink Category:Dirac_equation.
- Two-body_Dirac_equations wikiPageWikiLink Category:Equations_of_physics.
- Two-body_Dirac_equations wikiPageWikiLink Category:Mathematical_physics.
- Two-body_Dirac_equations wikiPageWikiLink Category:Quantum_field_theory.
- Two-body_Dirac_equations wikiPageWikiLink Center-of-momentum_frame.
- Two-body_Dirac_equations wikiPageWikiLink Commutator.
- Two-body_Dirac_equations wikiPageWikiLink Dirac_equation.
- Two-body_Dirac_equations wikiPageWikiLink Dirac_equation_in_the_algebra_of_physical_space.
- Two-body_Dirac_equations wikiPageWikiLink Dirac_operator.
- Two-body_Dirac_equations wikiPageWikiLink Electromagnetic_field.
- Two-body_Dirac_equations wikiPageWikiLink Electromagnetic_four-potential.
- Two-body_Dirac_equations wikiPageWikiLink Electromagnetism.
- Two-body_Dirac_equations wikiPageWikiLink Elementary_charge.
- Two-body_Dirac_equations wikiPageWikiLink Faddeev–Popov_ghost.
- Two-body_Dirac_equations wikiPageWikiLink Four-gradient.
- Two-body_Dirac_equations wikiPageWikiLink Four-momentum.
- Two-body_Dirac_equations wikiPageWikiLink Four-vector.
- Two-body_Dirac_equations wikiPageWikiLink Gamma_matrices.
- Two-body_Dirac_equations wikiPageWikiLink Gregory_Breit.
- Two-body_Dirac_equations wikiPageWikiLink Hamiltonian_mechanics.
- Two-body_Dirac_equations wikiPageWikiLink Hydrogen.
- Two-body_Dirac_equations wikiPageWikiLink International_System_of_Units.
- Two-body_Dirac_equations wikiPageWikiLink Invariant_mass.
- Two-body_Dirac_equations wikiPageWikiLink Lagrange_multiplier.
- Two-body_Dirac_equations wikiPageWikiLink Lagrangian_mechanics.
- Two-body_Dirac_equations wikiPageWikiLink Legendre_Hamiltonian.
- Two-body_Dirac_equations wikiPageWikiLink Lippmann-Schwinger.
- Two-body_Dirac_equations wikiPageWikiLink Lorentz_covariance.
- Two-body_Dirac_equations wikiPageWikiLink Manifest_covariance.
- Two-body_Dirac_equations wikiPageWikiLink Many-body_problem.
- Two-body_Dirac_equations wikiPageWikiLink Metric_(mathematics).
- Two-body_Dirac_equations wikiPageWikiLink Momentum.
- Two-body_Dirac_equations wikiPageWikiLink Muonium.
- Two-body_Dirac_equations wikiPageWikiLink Natural_units.
- Two-body_Dirac_equations wikiPageWikiLink Nucleon.
- Two-body_Dirac_equations wikiPageWikiLink Particle_physics.
- Two-body_Dirac_equations wikiPageWikiLink Poisson_bracket.
- Two-body_Dirac_equations wikiPageWikiLink Positronium.
- Two-body_Dirac_equations wikiPageWikiLink Quantum_chromodynamics.
- Two-body_Dirac_equations wikiPageWikiLink Quantum_electrodynamics.
- Two-body_Dirac_equations wikiPageWikiLink Quantum_entanglement.
- Two-body_Dirac_equations wikiPageWikiLink Quantum_field_theory.
- Two-body_Dirac_equations wikiPageWikiLink Quarkonium.
- Two-body_Dirac_equations wikiPageWikiLink Relativistic_quantum_mechanics.
- Two-body_Dirac_equations wikiPageWikiLink Relativistic_wave_equations.
- Two-body_Dirac_equations wikiPageWikiLink Ricci_calculus.
- Two-body_Dirac_equations wikiPageWikiLink Special_relativity.
- Two-body_Dirac_equations wikiPageWikiLink Speed_of_light.
- Two-body_Dirac_equations wikiPageWikiLink Spin-½.
- Two-body_Dirac_equations wikiPageWikiLink Spin_(physics).
- Two-body_Dirac_equations wikiPageWikiLink Spinor.
- Two-body_Dirac_equations wikiPageWikiLinkText "Two-body Dirac equations".
- Two-body_Dirac_equations wikiPageWikiLinkText "two-body Dirac equation".
- Two-body_Dirac_equations wikiPageWikiLinkText "two-body Dirac equations".
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- Two-body_Dirac_equations subject Category:Dirac_equation.
- Two-body_Dirac_equations subject Category:Equations_of_physics.
- Two-body_Dirac_equations subject Category:Mathematical_physics.
- Two-body_Dirac_equations subject Category:Quantum_field_theory.
- Two-body_Dirac_equations type Mechanic.
- Two-body_Dirac_equations type Physic.
- Two-body_Dirac_equations comment "In quantum field theory, and in the significant subfields of quantum electrodynamics and quantum chromodynamics, the two-body Dirac equations (TBDE) of constraint dynamics provide a three-dimensional yet manifestly covariant reformulation of the Bethe–Salpeter equation for two spin-1/2 particles.".
- Two-body_Dirac_equations label "Two-body Dirac equations".
- Two-body_Dirac_equations sameAs Q7858689.
- Two-body_Dirac_equations sameAs m.0jzswzy.
- Two-body_Dirac_equations sameAs Q7858689.
- Two-body_Dirac_equations wasDerivedFrom Two-body_Dirac_equations?oldid=699007681.
- Two-body_Dirac_equations isPrimaryTopicOf Two-body_Dirac_equations.