Nonadiabatic tunnelling in an ideal one-dimensional semi-infinite periodic potential system: an analytically solvable model

Abstract

Nonadiabatic tunnelling in an ideal one-dimensional semi-infinite periodic potential system is analysed using our model. Using our simple analytically solvable model it is shown that an ideal one-dimensional semi-infinite periodic potential system can be thought as a model of molecular switch. The method is applicable to those systems where Green's function for the motion in the absence of coupling is known. The method has been applied to the problem where motion takes place on parabolic potentials, for which analytical expression of Green's function can be found.

Keywords:

• quantum mechanics
• scattering; semi-infinite
• analytical model
• Green's function
• periodic potential
• nonadiabatic tunnelling
• molecular switch

Acknowledgements

The author thanks Prof. K.L. Sebastian for suggesting this very interesting problem and also for his continuous guidance and inspiration. It is a pleasure to thank Prof. M.S. Child for his kind interest, suggestions and encouragement. The author thanks Prof. H. Nakamura for sending helpful reprint of his papers. The author also thanks Prof. P.C. Deshmukh for his comments on the manuscript.