NON-COMPACT GROUP SU(1,1) OF A FREE PARTICLE IN THE SYMMETRICDOUBLE-WELL POTENTIAL FIELD

Fizika B (Zagreb)

A. DARYAIE¹  J. SADEGHI¹  M. R. PAHLAVNI¹ 

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

DOI  :  

学科分类：物理（综合）

来源: Fizika B: a journal of experimental and theoretical physics

【 摘 要 】

We analyze the equation of motion for a particle in the double-well potential. We findthe symmetries through Lie's method of group analysis. In the corresponding quantummechanical case, the method of spectrum-generating su(1,1) algebra is used to find energylevels as solutions of the Schrdinger equation with double-well potential, withoutsolving the equation explicitly. Finally, we discuss the symmetry version of thedouble-well potential with the vector-field formalism.

【 授权许可】

Unknown