Multidimensional tunneling between potential wells at non degenerate minima
Mathematical Physics
2020-04-09 v1 math.MP
Abstract
We consider tunneling between symmetric wells for a 2-D semi-classical Schr\"odinger operator for energies close to the quadratic minimum of the potential V in two cases: (1) excitations of the lowest frequency in the harmonic oscillator approximation of V; (2) more general excited states from Diophantine tori with comparable quantum numbers.
Keywords
Cite
@article{arxiv.1407.5292,
title = {Multidimensional tunneling between potential wells at non degenerate minima},
author = {Anatoly Anikin and Michel Rouleux},
journal= {arXiv preprint arXiv:1407.5292},
year = {2020}
}
Comments
6 pages, 1 figure, Conference Days on Diffraction 2014, Saint Petersburg, Russia