Analytical Bounce Solution in a Dissipative Quantum Tunneling

Details Analytical Bounce Solution in a Dissipative Quantum Tunneling Analytical Bounce Solution in a Dissipative Quantum Tunneling

2003-12-12

arxiv.org/abs/hep-th/0312132v1

Mod.Phys.Lett. A19 (2004) 2495-2503

Physics

High Energy Physics

High Energy Physics - Theory

9pages, 4 figures

Scientific paper

10.1142/S0217732304015828

The analytical bounce solution is derived in terms of the polygamma function in the Caldeira-Leggett's dissipative quantum tunneling model. The classical action for the bounce solution lies between the upper and lower bounds in the full range of $\alpha$, where $\alpha$ is a dissipation coefficient. The bounce peak point increases from 1 to 4/3 with increase of $\alpha$. In spite of various nice features we have shown that the solution we have derived is not exact one by making use of the zero mode argument in the linearized fluctuation equation. However, our solution can be a starting point for approximate computation of the prefactor in this model.

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