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Paper   IPM / P / 6737
School of Physics
  Title:   Calculation of the Level Splitting of Energy and the Decay Rate of Some One-Dimensioanl Potentials by Instantons Method
1.  M.A. Jafarizadeh
2.  S. Jalalzadeh
  Status:   Published
  Journal: J. Math. Phys.
  No.:  27
  Vol.:  41
  Year:  2000
  Pages:   701-720
  Supported by:  IPM
Using the popular Langer?Polyakov?Coleman instanton method, the decay rate of metastable states and the level splitting of energy, due to tunneling of some one-dimensional potentials have been calculated. The operators appearing in the prefactor of the decay rate or the level splitting of energy of these kinds of potentials possess the shape invariance symmetry, hence using this property, the determinant of these operators have been calculated analytically via heat kernel method.

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