Multi-well log-anharmonic oscillators

Miloslav Znojil; František Růžička

doi:10.1142/s0217732319500858

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arXiv · 1901.02238

Multi-well log-anharmonic oscillators

Miloslav Znojil·František Růžička

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Abstract

Quantum particle is considered confined in a toy-model potential possessing multiple minima. For the specific choice of the family of potentials (in the form of harmonic oscillator plus several logarithmic infinitely high but penetrable barriers), a facilitated tractability of the related bound-state problem is achieved by the use of the (slightly modified) large-N expansion technique. The phenomenological appeal of the possibility of simulation of a certain `relocalization' quantum catastrophe is emphasized.

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Miloslav Znojil, František Růžička. 2019-01-08. Multi-well log-anharmonic oscillators. https://doi.org/10.1142/s0217732319500858

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