Novel approach to tunneling problems

1988/08/01 by S. A. Gurvitz · 1 voice
Physics and Astronomy · #Quantum chaos and dynamical systems #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates

paper · doi:10.1103/physreva.38.1747

openalex publication_date 1988/08/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider a tunneling problem as the decay of a prepared state using a modified two-potential approach. This method enables us to obtain a perturbative expansion for the decay width and the energy shift of an isolated quasistationary state. The first term is very simple and the correction terms are found to be small. Some examples for application of our result are presented. The quasi- classical limit of the width \ensuremathΓ has the form of the Gamow formula, but with a well-defined prefactor valid also for low-lying states. This result coincides with that of instanton calculations in the limit of \ensuremath\Elzxh\ensuremath→0.

Citations

• Quantum tunnelling in a dissipative system
• Decay width and the shift of a quasistationary state

Discussions

• Absorbing boundary conditions have been extensively studied for diffusion equations (e.g., Solving the diffusion equation with an absorbing boundary - but you can find much more by googling), of which [stackexchange, 1 points]

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