1999/01/04 by John R. Klauder · 51 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Applied mathematics #Coherent states #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Constructive #Hilbert space #Lagrange multiplier #Lattice (music) #Mathematical optimization #Mathematics #Operator (biology) #Path integral formulation #Physics #Projection (relational algebra) #Pure mathematics #Quantization (signal processing) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum state #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/s0550-3213(99)00106-6
published in Nuclear Physics B 547(1-2), 397-412 (Elsevier BV) · latex, 21 pages, no figures
arxiv created 1999/01/04 · openalex publication_date 1999/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An abstract formulation of quantum dynamics in the presence of a general set of quantum constraints is developed. Our constructive procedure is such that the relevant projection operator onto the physical Hilbert space is obtained with a single, common integration procedure over the original Lagrange multiplier variables that is completely independent of the general nature of the constraints. In the associated lattice-limit formulation it is demonstrated that expansion of the constraint operator contribution to second order in the lattice spacing is necessary while, as usual, only a first-order expansion is needed for the dynamical operator contribution. Among various possibilities, coherent state path integrals are used to illustrate a completely functional representation of the abstract quantization procedure.