Geodesic
Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 3, pp. 426-434 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
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}
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S. Yu. Dobrokhotov; V. N. Kolokoltsov. Splitting amplitudes of the lowest energy levels of the Schrödinger 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/

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