Algebraic structures of degenerate systems and the indefinite metric

DOI10.1063/1.527641zbMath0624.46051OpenAlexW2086463501MaRDI QIDQ3025682

C. A. Hurst, Hendrik B. G. S. Grundling

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527641

zbMATH Keywords

gauge equivalenceLandau gauge electromagnetismlinear boson fields with linear Hermitian constraints

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Applications of selfadjoint operator algebras to physics (46L60) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

LOCAL QUANTUM CONSTRAINTS ⋮ A note on regular states and supplementary conditions ⋮ Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory ⋮ Quantum constraints ⋮ The quantum theory of second class constraints: Kinematics ⋮ Some remarks on the Gupta–Bleuler triplet

Cites Work

• On field algebras in quantum theory with indefinite metric
• Algebraic quantization of systems with gauge degeneracy
• Canonical quantization with indefinite inner product
• Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet
• Remarks on the reconstruction theorem for field theories with indefinite metric
• Existence of a complex structure for quadratic Hamiltonians?
• Some algebras of unbounded operators in an indefinite inner product vector space
• Quantisation in indefinite metric
• A C*-algebra formulation of the quantization of the electromagnetic field
• Theory of Longitudinal Photons in Quantum Electrodynamics
• The Hamiltonian Form of Field Dynamics

This page was built for publication: Algebraic structures of degenerate systems and the indefinite metric