Calculation of the level splitting of energy and the decay rate of some one-dimensional potentials by instantons method

摘要

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. (C) 2000 American Institute of Physics. [S0022-2488(00)00801-X]. [References: 20]