The scalar product in two-particle relativistic quantum mechanics

DOI10.1063/1.527910zbMath0695.35201OpenAlexW2070212603MaRDI QIDQ3470973

H. Sazdjian

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527910

zbMATH Keywords

conservation lawsscalar productHilbert space of statesHermiticitytwo-particle relativistic quantum mechanics

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (12)

On some meaningful inner product for real Klein-Gordon fields with positive semi-definite norm ⋮ The two-fermion relativistic wave equations of constraint theory in the Pauli–Schrödinger form ⋮ Extension of two-body Dirac equations to general covariant interactions through a hyperbolic transformation ⋮ Spin and pseudo-spin symmetries of fermionic particles with an energy-dependent potential in non-commutative phase space ⋮ The GUP for non-relativistic Feynman propagator with energy-dependent mass ⋮ Incorporation of anomalous magnetic moments in the two-body relativistic wave equations of constraint theory ⋮ 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 ⋮ The rest-frame Darwin potential from the Lienard-Wiechert solution in the radiation gauge ⋮ N-body bound state relativistic wave equations ⋮ Klein–Gordon equation in hydrodynamical form

Cites Work

• The problem of the completeness of root vectors in the spectral theory of operator-valued functions
• Indefinite Metric and Stationary External Interactions of Quantized Fields
• Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
• The connection of two-particle relativistic quantum mechanics with the Bethe–Salpeter equation
• ON THE COMPLETENESS OF THE EIGENFUNCTIONS OF SOME CLASSES OF NON-SELFADJOINT LINEAR OPERATORS
• Scattering theory for the Klein-Gordon equation

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