| Issue |
EPL
Volume 137, Number 5, March 2022
|
|
|---|---|---|
| Article Number | 54002 | |
| Number of page(s) | 4 | |
| Section | Nuclear and plasma physics, particles and fields | |
| DOI | https://doi.org/10.1209/0295-5075/ac5cde | |
| Published online | 03 May 2022 | |
On the attractive inverse-square potential in the induced electric dipole system under the influence of the harmonic oscillator
Departamento de Física, Universidade Federal da Paraíba - Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil
(a) kbakke@fisica.ufpb.br (corresponding author)
(b) jgabriel@fisica.ufpb.br
Received: 23 August 2021
Accepted: 11 March 2022
We obtain the analytical solutions to the Schrödinger equation for the attractive inverse-square potential in an induced electric dipole moment system under the influence of the harmonic oscillator. We show that bound states can exist when the electric field configuration brings a cut-off point that imposes a forbidden region for the neutral particle. Then, by dealing with s-waves, we obtain the energy eigenvalues in the strong electric field regime and for small values of the angular frequency of the harmonic oscillator. Further, we extend our discussion about the energy eigenvalues beyond the s-waves.
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