In-in formalism on tunneling background: multi-dimensional quantum mechanics
High Energy Physics - Theory
2013-08-09 v2 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
Quantum Physics
Abstract
We reformulate quantum tunneling in a multi-dimensional system where the tunneling sector is non-linearly coupled to oscillators. The WKB wave function is explicitly constructed under the assumption that the system was in the ground state before tunneling. We find that the quantum state after tunneling can be expressed in the language of the conventional in-in formalism. Some implications of the result to cosmology are discussed.
Cite
@article{arxiv.1306.2207,
title = {In-in formalism on tunneling background: multi-dimensional quantum mechanics},
author = {Kazuyuki Sugimura},
journal= {arXiv preprint arXiv:1306.2207},
year = {2013}
}
Comments
13 pages, 3 figures