Splitting amplitudes of the lowest energy levels of the Schr\"odinger operator with double-well potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 3, pp. 426-434
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An analytic method is proposed for calculating the asymptotic splitting of the lowest energy levels of the Schrödinger operator with a symmetric double-well potential. The potential describing a chain of pairwise interacting quantum particles in a common double-well potential is considered as an example. The limit of a large number of particles is investigated.
@article{TMF_1993_94_3_a7,
author = {S. Yu. Dobrokhotov and V. N. Kolokoltsov},
title = {Splitting amplitudes of the lowest energy levels of the {Schr\"odinger} operator with double-well potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {426--434},
publisher = {mathdoc},
volume = {94},
number = {3},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a7/}
}
TY - JOUR AU - S. Yu. Dobrokhotov AU - V. N. Kolokoltsov TI - Splitting amplitudes of the lowest energy levels of the Schr\"odinger operator with double-well potential JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1993 SP - 426 EP - 434 VL - 94 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a7/ LA - ru ID - TMF_1993_94_3_a7 ER -
%0 Journal Article %A S. Yu. Dobrokhotov %A V. N. Kolokoltsov %T Splitting amplitudes of the lowest energy levels of the Schr\"odinger operator with double-well potential %J Teoretičeskaâ i matematičeskaâ fizika %D 1993 %P 426-434 %V 94 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a7/ %G ru %F TMF_1993_94_3_a7
S. Yu. Dobrokhotov; V. N. Kolokoltsov. Splitting amplitudes of the lowest energy levels of the Schr\"odinger operator with double-well potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 3, pp. 426-434. http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a7/