Self-similar potentials in quantum mechanics and coherent states
V. P. Spiridonov
TL;DR
This paper explores the connections between self-similar potentials, factorization methods, and special functions in quantum mechanics, introducing new coherent states linked to the Fourier transform.
Contribution
It presents novel coherent states of the harmonic oscillator associated with the Fourier transformation, expanding the understanding of self-similar potentials.
Findings
New coherent states related to Fourier transform
Connections established between factorization and special functions
Insights into self-similar potentials in quantum systems
Abstract
A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given. New coherent states of the harmonic oscillator related to the Fourier transformation are constructed.
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