The two-fermion relativistic wave equations of constraint theory in the Pauli–Schrödinger form

DOI10.1063/1.530681zbMath0821.35116arXivhep-ph/9403232OpenAlexW3103415728MaRDI QIDQ4837134

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Publication date: 4 July 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/9403232

zbMATH Keywords

Dirac equationrelativistic wave equationsequation of the Pauli-Schrödinger type

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (12)

Pseudo-Hermitian and \(\mathcal{P}T\)-symmetric quantum systems with energy-dependent potentials: bound-state solutions and energy spectra ⋮ Generalized Schrödinger equations with energy-dependent potentials: Formalism and applications ⋮ Darboux transformations for energy-dependent potentials and the Klein-Gordon equation ⋮ Spin and pseudo-spin symmetries of fermionic particles with an energy-dependent potential in non-commutative phase space ⋮ Modified Darboux transformations with foreign auxiliary equations ⋮ Incorporation of anomalous magnetic moments in the two-body relativistic wave equations of constraint theory ⋮ DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS ⋮ Exactly solvable energy-dependent potentials ⋮ Comparing exact energy solutions of quartic eigenvalue polynomials in commutative, non-commutative and non-commutative phase frameworks for boson π− ⋮ Gauge transformations in relativistic two-particle constraint theory ⋮ Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials ⋮ The rest-frame Darwin potential from the Lienard-Wiechert solution in the radiation gauge

Cites Work

• Gauge Properties of Propagators in Quantum Electrodynamics
• The scalar product in two-particle relativistic quantum mechanics
• Extension of two-body Dirac equations to general covariant interactions through a hyperbolic transformation
• The connection of two-particle relativistic quantum mechanics with the Bethe–Salpeter equation
• A General Survey of the Theory of the Bethe-Salpeter Equation
• Bound States in Quantum Field Theory

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