Quantum mechanics of Proca fields

DOI10.1063/1.3116164zbMath1187.81163arXiv0805.1651OpenAlexW2091403800MaRDI QIDQ3565255

F. Zamani, Ali Mostafazadeh

Publication date: 3 June 2010

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

Full work available at URL: https://arxiv.org/abs/0805.1651

zbMATH Keywords

probabilityHilbert spacesangular momentumLorentz invariancegauge field theoryrelativistic quantum mechanicschiral symmetriesCPT invariancehelicity (elementary particles)

Mathematics Subject Classification ID

Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Applications of group representations to physics and other areas of science (20C35) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (4)

Entanglement of arbitrary spin modes in expanding universe ⋮ Quantum mechanics of a photon ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ Developing a non-Hermitian algebraic theory with the \(\gamma_5\)-extension of mass

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians
• Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a \(2\times2\) matrix model
• A positive-definite scalar product for free Proca particle
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Quantum mechanics of Klein--Gordon-type fields and quantum cosmology.
• Perturbation theory for linear operators.
• P-, T-, PT-, and CPT-invariance of Hermitian Hamiltonians
• Proca fields interpretation of spin 1 equation in Robertson-Walker space-time
• Quantum mechanics of Klein-Gordon fields. I: Hilbert space, localized states, and chiral symmetry
• Quantum mechanics of Klein-Gordon fields. II: Relativistic coherent states
• Complex Extension of Quantum Mechanics
• Quantum information and relativity theory
• Synthesis of Covariant Particle Equations
• BRST Quantization of the Proca Model Based on the BFT and the BFV Formalism
• Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour
• 𝓟𝓣-symmetric quantum mechanics
• Hilbert space structures on the solution space of Klein Gordon-type evolution equations
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Pseudo-Hermiticity and generalized PT- and CPT-symmetries
• -symmetric cubic anharmonic oscillator as a physical model
• A PHYSICAL REALIZATION OF THE GENERALIZED PT-, C-, AND CPT-SYMMETRIES AND THE POSITION OPERATOR FOR KLEIN–GORDON FIELDS
• Group Theoretical Discussion of Relativistic Wave Equations
• Localized States for Elementary Systems
• The Intrinsic Parity of Elementary Particles
• Some Generalizations of the Foldy-Wouthuysen Transformation
• Poincaré covariance of relativistic quantum position

This page was built for publication: Quantum mechanics of Proca fields