The quantum theory of second class constraints: Kinematics

DOI10.1007/BF01218261zbMath0691.46044MaRDI QIDQ582543

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

Publication date: 1988

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

zbMATH Keywords

second class constraints\(C^*\)-algebra formulation of quantum mechanicsDirac statesfirst classimposition of constraintslinear boson field with linear Hermitian constraintslinear Boson field with quadratic constraintsquantum observable algebraweakly gauge invariant

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) General mathematical topics and methods in quantum theory (81Q99) Miscellaneous applications of functional analysis (46N99)

Related Items (5)

LOCAL QUANTUM CONSTRAINTS ⋮ Dirac and normal states on Weyl-von Neumann algebras ⋮ Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory ⋮ QCD on an infinite lattice ⋮ The operator quantization of the open bosonic string: Field algebra

Cites Work

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• Algebraic quantization of systems with gauge degeneracy
• Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory
• On the quantization of presymplectic dynamical systems via coisotropic imbeddings
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• Algebraic structures of degenerate systems and the indefinite metric
• Algebraic structure of degenerate systems
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Canonical formalism for degenerate Lagrangians
• Generalized Hamiltonian Dynamics

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