Volume 142, Number 2, April 2023
|Number of page(s)||6|
|Section||Mathematical and interdisciplinary physics|
|Published online||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
(a) E-mail: firstname.lastname@example.org; email@example.com (corresponding author)
(b) E-mail: firstname.lastname@example.org
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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