Quantum Mechanics in Riemannian Manifold

DOI10.1143/PTP.83.894zbMath1058.81562OpenAlexW3049503715WikidataQ115244378 ScholiaQ115244378MaRDI QIDQ2756862

Kanji Fujii, Naohisa Ogawa, Alexander Kobushukin

Publication date: 19 November 2001

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/ptp.83.894

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (12)

Electron on a cylinder with topological defects in a homogeneous magnetic field ⋮ QUANTIZATION OF POINTLIKE PARTICLES AND CONSISTENT RELATIVISTIC QUANTUM MECHANICS ⋮ Hamiltonian and Lagrangian BRST quantization in Riemann manifold ⋮ Geometric Potential and Dirac Quantization ⋮ Quantum mechanical treatment of a constrained particle on two dimensional sphere ⋮ Geometry-induced quantum dots on surfaces with Gaussian bumps ⋮ Quantum mechanics of a constrained particle on an ellipsoid: bein formalism and geometric momentum ⋮ Nonrelativistic quantum particle in a curved space as a constrained system ⋮ Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry? ⋮ Canonical quantization of motion on submanifolds ⋮ Hamiltonian and Lagrangian BRST quantization in Riemann manifold. II ⋮ DIRAC EQUATION ON A CURVED (2+1)-DIMENSIONAL HYPERSURFACE

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