Original scientific paper

Non-compact group SU(1,1) of a free particle in the symmetric double-well potential field

J. Sadeghi ; Institute for Studies in Theoretical Physics and Mathematics (IPM), P. O. Box 19395-5531, Tehran, Iran; Sciences Faculty, Department of Physics, Mazandaran University, P. O. Box 47415-416, Babolsar, Iran
M. R. Pahlavni ; Sciences Faculty, Department of Physics, Mazandaran University, P. O. Box 47415-416, Babolsar, Iran
A. Daryaie ; Sciences Faculty, Department of Physics, Mazandaran University, P. O. Box 47415-416, Babolsar, Iran

Abstract

We analyze the equation of motion for a particle in the double-well potential. We find the symmetries through Lie's method of group analysis. In the corresponding quantum mechanical case, the method of spectrum-generating su(1,1) algebra is used to find energy levels as solutions of the Schrödinger equation with double-well potential, without solving the equation explicitly. Finally, we discuss the symmetry version of the double-well potential with the vector-field formalism.

Keywords

double-well potential; Lie algebra; energy spectrum; vector field; symmetry

Hrčak ID:

305656

URI

https://hrcak.srce.hr/305656

Publication date:

7.11.2004.

Article data in other languages: croatian

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