Canonical quantization of motion on submanifolds
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Publication:963204
DOI10.1016/S0034-4877(09)90020-9zbMath1204.81101arXiv0812.3771OpenAlexW1981007822MaRDI QIDQ963204
Publication date: 8 April 2010
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.3771
Geometry and quantization, symplectic methods (81S10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items (8)
Hamiltonian and Lagrangian BRST quantization in Riemann manifold ⋮ Geometric Potential and Dirac Quantization ⋮ Geometric momentum for a particle constrained on a curved hypersurface ⋮ GEOMETRIC MOMENTUM IN THE MONGE PARAMETRIZATION OF TWO-DIMENSIONAL SPHERE ⋮ Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry? ⋮ An inhomogeneous toy model of the quantum gravity with the explicitly evolvable observables ⋮ Geometric scattering of a scalar particle moving on a curved surface in the presence of point defects ⋮ DIRAC EQUATION ON A CURVED (2+1)-DIMENSIONAL HYPERSURFACE
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