NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (1), P. 113–121
TUNNELING IN MULTIDIMENSIONAL WELLS
T. F. Pankratova – ITMO University, St. Petersburg, Russia; tanpankrat@yandex.ru
A full asymptotic series for low eigenvalues and eigenfunctions of a stationary Schrödinger operator with a nondegenerate well was constructed in [29]. This allowed us to describe the tunneling effect for a potential with two or more identical wells with sufficient accuracy. The procedure is described in the following discussion. Some formulae are obtained and corresponding problems are discussed.
Keywords: Shrödinger operator, potential, tunneling, eigenvalues and eigenfunctions.
PACS 32.30r; 03.65w; 73.21.Fg; 78.67.De; 31.15xr; 05.45.xt
DOI 10.17586/2220-8054-2015-6-1-113-121
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