Hamilton-Jacobi Treatment of a Non-Relativistic Particle on a Curved Space
Loading...
Date
2001
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Iop Publishing Ltd
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Average
Abstract
In this paper a non-relativistic particle moving on a hypersurface in a curved space and the multidimensional rotator are investigated using the Hamilton-Jacobi formalism. The equivalence with the Dirac Hamiltonian formalism is demonstrated in both Cartesian and curvilinear coordinates. The energy spectrum of the multidimensional rotator is equal to that of a pure Laplace-Beltrami operator with no additional constant arising from the curvature of the sphere.
Description
Keywords
High Energy Physics - Theory, curvilinear coordinates, energy spectrum, FOS: Physical sciences, Hamilton-Jacobi equations in mechanics, hypersurface, multidimensional rotator, curved space, Dirac-Hamiltonian formalism, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, non-relativistic particle, High Energy Physics - Theory (hep-th), Laplace-Beltrami operator, Cartesian coordinates, Hamilton Jacobi formalism
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Baleanu, D.; Güler, Y., "Hamilton-Jacobi treatment of a non-relativistic particle on a curved space" Journal Of Physics A-Mathematical And General, Vol.34, No.1, pp. 73-80, (2001).
WoS Q
Scopus Q
OpenCitations Citation Count
14
Source
Journal of Physics A: Mathematical and General
Volume
34
Issue
1
Start Page
73
End Page
80
PlumX Metrics
Citations
CrossRef : 8
Scopus : 21
Captures
Mendeley Readers : 8
SCOPUS™ Citations
23
checked on Feb 23, 2026
Web of Science™ Citations
21
checked on Feb 23, 2026
Page Views
4
checked on Feb 23, 2026
Google Scholar™
