Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
double-well potential; Lie algebra; energy spectrum; vector field; symmetry
Hrčak ID:
305656
URI
Datum izdavanja:
7.11.2004.
Posjeta: 370 *