Hamilton-Jacobi treatment of a non-relativistic particle on a curved space

DOI10.1088/0305-4470/34/1/305zbMath0980.70013arXivhep-th/0105109OpenAlexW1974563448MaRDI QIDQ2716813

Dumitru Baleanu, Yurdahan Güler

Publication date: 16 May 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0105109

zbMATH Keywords

hypersurfaceenergy spectrumLaplace-Beltrami operatorcurvilinear coordinatescurved spaceCartesian coordinatesnon-relativistic particleHamilton Jacobi formalismDirac-Hamiltonian formalismmultidimensional rotator

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (3)

THE HAMILTON–JACOBI TREATMENT OF FRONT-FORM SCHWINGER MODEL ⋮ MULTI-HAMILTON–JACOBI QUANTIZATION OF O(3) NONLINEAR SIGMA MODEL ⋮ On the Hamilton-Jacobi equation for second-class constrained systems.

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