Hamilton-Jacobi Quantization of Systems With Time-Dependent Constraints
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Abstract
Hamilton-Jacobi formalism is used to investigate time-dependent constraint systems. It is proved that the generalization of Dirac's canonical quantization method in the nonstationary case can be obtained naturally in Hamilton-Jacobi formalism. The example of the relativistic particle in a plane wave is analyzed in detail.
Description
Keywords
Hamilton Approach, Constraint System, Quantization, Hamilton-Jacobi formalism, constraint system, relativistic particle, Dirac's canonical quantization method, plane wave, quantization, Geometry and quantization, symplectic methods, Hamilton-Jacobi equations in mechanics
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Baleanu, Dumitru; Guler, Y., "Hamilton-Jacobi quantization of systems with time-dependent constraints" International Journal Of Theoretical Physics, Vol.41, No.5, pp.861-866, (2002).
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OpenCitations Citation Count
1
Volume
41
Issue
5
Start Page
861
End Page
866
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CrossRef : 1
Scopus : 1
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