A simple and effective technique to locate quasi-degeneracy in a symmetric double well potential

作者：Mukherjee Neetik^*

来源：Journal of Mathematical Chemistry, 2013, 51(7): 1938-1944.

DOI：10.1007/s10910-013-0192-1

• Symmetric double well potential
• Quasi-degeneracy
• Perturbation model
• Kinetic energy uncertainty

Perturbation theory based model can be used to locate the quasi-degeneracy in an arbitrary double well potential. This method, extensively explain the effect of the coupling term on pair of states called quasi-degenerate. This model helps us to calculate the energy of the pair of quasi-degenerate states using appreciably small basis. Dispersion equation corresponding to the split energy levels are presented in a very explicit form. Numerical calculation shows that the proposed method can give extremely accurate results for symmetric double-well potentials.

• 出版日期2013-8