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Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential

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Abstract

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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Authors
  1. S. Yu. Dobrokhotov
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  2. V. N. Kolokol'tsov
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Additional information

Institute of Problems of Mechanics, Russian Academy of Sciences; Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 3, pp. 426–434, March, 1993.

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Dobrokhotov, S.Y., Kolokol'tsov, V.N. Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential. Theor Math Phys 94, 300–305 (1993). https://doi.org/10.1007/BF01017262

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  • DOI: https://doi.org/10.1007/BF01017262

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