Gauge fields and extrapotentials in constrained quantum systems

DOI10.1103/PhysRevA.63.042112zbMath1255.81189arXivquant-ph/0001059MaRDI QIDQ4903143

Kevin A. Mitchell

Publication date: 19 January 2013

Published in: Physical Review A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0001059

zbMATH Keywords

effective Hamiltonianconstrained quantum system

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items

Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential, Quantum graphs as holonomic constraints, Quantum dynamics of a particle constrained to lie on a surface, On a semiclassical limit of loop space quantum mechanics, Generalised quantum waveguides, Quantum gases on a torus, Curvature-induced quantum behaviour on a helical nanotube, ALL ORDER COVARIANT TUBULAR EXPANSION, The adiabatic limit of Schrödinger operators on fibre bundles, Canonical quantization of motion on submanifolds, Effective Hamiltonians for Constrained Quantum Systems, WIRES WITH QUANTUM MEMORY, DIRAC EQUATION ON A CURVED (2+1)-DIMENSIONAL HYPERSURFACE, Periodic manifolds with spectral gaps, Quantum strips on surfaces, The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces

Cites Work

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• Quantal phase factors accompanying adiabatic changes
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles