| Issue |
EPL
Volume 141, Number 5, March 2023
|
|
|---|---|---|
| Article Number | 54001 | |
| Number of page(s) | 5 | |
| Section | Nuclear and plasma physics, particles and fields | |
| DOI | https://doi.org/10.1209/0295-5075/acbb21 | |
| Published online | 22 February 2023 | |
Harmonic oscillator problem in the background of a topologically charged Ellis-Bronnikov–type wormhole(a)
Department of Physics, University of Science & Technology Meghalaya - Ri-Bhoi, Meghalaya-793101, India
(b) E-mail: faizuddinahmed15@gmail.com (corresponding author)
Received: 31 January 2023
Accepted: 10 February 2023
In this paper, we study the quantum dynamics of non-relativistic particles in the background of a topological chagred Ellis-Bronnikov–type wormhole space-time. We derived the radial wave equation and obtain the eigenvalue solution through the confluent Heun equation. Afterwards, we study the harmonic oscillator problem in the same wormhole background and solve the wave equation using the same technique. In both cases, the ground state energy level E1,l and the wave function 
are presented. Finally, we analyze the results and show that the eigenvalue solutions are influenced by the topological defect parameter α and the wormhole throat radius 
and get them modified.
© 2023 EPLA
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