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Paper   IPM / Physic / 7748
School of Physics
  Title:   Non-Compact Group SU(1,1) of A Free Particle in the Symmetric Double-Well Potential Field
1.  J. Sadeghi
2.  M.R. Pahlavani
3.  A. Daryaie
  Status:   Published
  Journal: Fizika B
  No.:  4
  Vol.:  13
  Year:  2004
  Pages:   691-698
  Supported by:  IPM
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 Schordinger equation with double - well potential, without solving the equation explicitly. Finally, we discuss the symmetry version of double - well potential with the vector field formalism

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