A note on regular states and supplementary conditions

DOI10.1007/BF00398589zbMath0655.46062MaRDI QIDQ1109306

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

Publication date: 1988

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

zbMATH Keywords

Fock spaceCCR-algebraeigenvalue conditionsabstract C *-algebralinear Hermitian constraints on linear boson theoriesregular states exist

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) States of selfadjoint operator algebras (46L30) Miscellaneous applications of functional analysis (46N99)

Related Items (8)

LOCAL QUANTUM CONSTRAINTS ⋮ Dirac and normal states on Weyl-von Neumann algebras ⋮ Constrained dynamics for quantum mechanics. I. Restricting a particle to a surface ⋮ Mathematical structure of the temporal gauge in quantum electrodynamics ⋮ FULL REGULARITY FOR A C*-ALGEBRA OF THE CANONICAL COMMUTATION RELATIONS ⋮ Construction of classical and non-classical coherent photon states. ⋮ CONFORMAL COVARIANCE OF MASSLESS FREE NETS ⋮ The operator quantization of the open bosonic string: Field algebra

Cites Work

• Algebraic quantization of systems with gauge degeneracy
• Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory
• The Quantum theory of second class constraints: Kinematics
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• Algebraic structures of degenerate systems and the indefinite metric

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