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The tunneling hamiltonian representation of false vaccuum decay: II. Application to soliton - anti soliton pair creation

A. W. Beckwith
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Abstract

The tunneling hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Our problem is here applying what we did in the first paper to a driven sine-Gordon system. Here we apply a generalization of the tunneling Hamiltonian to charge density wave transport problems, in which tunneling between states which are wavefunctionals of a scalar quantum field are considered. We derive I-E curves which match Zenier curves used to fit data experimentally with wavefunctionals congruent with the false vacuum hypothesis

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A. W. Beckwith. 2004-11-04. The tunneling hamiltonian representation of false vaccuum decay: II. Application to soliton - anti soliton pair creation. https://arxiv.org/abs/math-ph/0406053

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