Quantum motion on a torus as a submanifold problem in a generalized Dirac's theory of second-class constraints

DOI10.1016/j.aop.2013.07.008zbMath1348.81279arXiv1212.6373OpenAlexW1987722829MaRDI QIDQ336174

D. M. Xun, Xuanmin Zhu, Quan-hui Liu

Publication date: 10 November 2016

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

Full work available at URL: https://arxiv.org/abs/1212.6373

zbMATH Keywords

quantum mechanicscanonical quantizationquantum fields in curved spacetime

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Constrained dynamics, Dirac's theory of constraints (70H45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (12)

Hamiltonian and Lagrangian BRST quantization in Riemann manifold ⋮ Geometric momentum and angular momentum for charge-monopole system ⋮ Quantization of a particle on a two-dimensional manifold of constant curvature ⋮ Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface ⋮ Geometric Potential and Dirac Quantization ⋮ Quantum mechanical treatment of a constrained particle on two dimensional sphere ⋮ Quantum mechanics of a constrained particle on an ellipsoid: bein formalism and geometric momentum ⋮ No existence of the geometric potential for a Dirac fermion on a two-dimensional curved surface of revolution ⋮ Geometric momentum for a particle constrained on a curved hypersurface ⋮ Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry? ⋮ The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere ⋮ A self-adjoint decomposition of the radial momentum operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum motion on 2D surface of nonspherical topology
• HOW TO CONSTRUCT A COORDINATE REPRESENTATION OF A HAMILTONIAN OPERATOR ON A TORUS
• Constraint-induced mean curvature dependence of Cartesian momentum operators
• The physical meaning of the embedded effect in the quantum submanifold system
• GEOMETRIC MOMENTUM IN THE MONGE PARAMETRIZATION OF TWO-DIMENSIONAL SPHERE

This page was built for publication: Quantum motion on a torus as a submanifold problem in a generalized Dirac's theory of second-class constraints