Alternative approaches to the description of quantum dynamics in multi-well potentials

• URL: http://arxiv.org/abs/2012.05814v1
• Date: Wed, 9 Dec 2020 17:54:10 GMT
• Title: Alternative approaches to the description of quantum dynamics in multi-well potentials
• Authors: V. P. Berezovoj, Yu. L. Bolotin, V. A. Cherkaskiy, M. I. Konchantnyi
• Abstract summary: We consider three different approaches to analyze the quantum mechanical problems in multi-well potentials. The latter approach gives a unique possibility to include the specific multi-well features of the problem directly in the calculation procedure.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider three different approaches to analyze the quantum mechanical problems in multi-well potentials: i) the standard matrix diagonalization technique in the basis sets of harmonic oscillator eigenfunctions or plain waves; ii) the spectral method, which allows to reconstruct the spectrum and stationary functions based on the time-dependent solution of the Schr\"odinger equation; iii) approximations with exact solutions obtained by the supersymmetric quantum mechanics technique. The latter approach proves to be the most promising as it gives a unique possibility to include the specific multi-well features of the problem directly in the calculation procedure.

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