Constrained dynamics for quantum mechanics. I. Restricting a particle to a surface

DOI10.1063/1.532241zbMath1006.46052arXivhep-th/9712052OpenAlexW2043689179MaRDI QIDQ4260459

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

Publication date: 3 December 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/9712052

zbMATH Keywords

quantum particleconstrained quantum systemsDirac algorithm for quantum constraints

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Applications of functional analysis in quantum physics (46N50)

Related Items (3)

Quantum constraints ⋮ Geometric momentum for a particle constrained on a curved hypersurface ⋮ Canonical quantization of motion on submanifolds

Cites Work

• A note on regular states and supplementary conditions
• Classical states and the BRST charge
• Reduction of symplectic manifolds with symmetry
• Coherent state quantization of constraint systems
• Monopole gauge fields and quantum potentials induced by the geometry in simple dynamical systems
• Deformation quantization of Heisenberg manifolds
• Rieffel induction as generalized quantum Marsden-Weinstein reduction
• Obstruction results in quantization theory
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Geometrically Induced Gauge Structure on Manifolds Embedded in a Higher-Dimensional Space
• Hamiltonian reduction of unconstrained and constrained systems

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