This article has an erratum: [https://doi.org/10.1209/0295-5075/acf48f]
Volume 142, Number 2, April 2023
|Number of page(s)
|Mathematical and interdisciplinary physics
|19 April 2023
On the doubly anharmonic oscillator in an elastic environment in the presence of a point-like defect
Departamento de Ensino, Instituto Federal de Educação, Ciência e Tecnologia do Maranhão Rodovia Marechal Castelo Branco, S/N, Canaã, 65300-340, Santa Inês, MA, Brazil
Received: 3 March 2023
Accepted: 6 April 2023
We have investigated a doubly anharmonic oscillator in an elastic medium characterized by the presence of a point-like defect, where we obtain analytically your solution of bound states. We show that it is not possible to obtain a unique expression for the energy profile of the quantum system, but rather an expression corresponding to each radial mode of the system. Furthermore, an interesting quantum effect is presented: the three parameters that characterize the doubly anharmonic oscillator are quantized, that is, they depend on the quantum numbers of the system.
© 2023 EPLA
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