Multi-Well Potentials in Quantum Mechanics and Stochastic Processes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Berezovoj, V.P., Ivashkevych, G.I., Konchatnij, M.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146499
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multi-Well Potentials in Quantum Mechanics and Stochastic Processes / V.P. Berezovoj, G.I. Ivashkevych, M.I. Konchatnij // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 43 назв. — англ.

Using the formalism of extended N=4 supersymmetric quantum mechanics we consider the procedure of the construction of multi-well potentials. We demonstrate the form-invariance of Hamiltonians entering the supermultiplet, using the presented relation for integrals, which contain fundamental solutions...