AJP Fizika E

Institute of Physics

Ministry of Science and Education

Republic of Azerbaijan

ISSN 1028-8546

Azerbaijan Journal of Physics

Published from 1995. Registration number: 514, 20 02 1995

Ministry of Press and Information of Azerbaijan Republic

2021 03 en p.33-39 | A.M. Mammadova,On the exact solution of the confined position-dependent mass harmonic oscillator model with the kinetic energy operator compatible with Galilean invariance under the homogeneous gravitational field |
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ABSTRACTExactly-solvable confined model of the quantum harmonic oscillator under the external gravitational field is studied. Confinement effect is achieved thanks to the effective mass changing with position. Nikiforov-Uvarov method is applied for solving exactly corresponding Schrödinger equation. Analytical expressions of the wavefunctions of the stationary states and energy spectrum are obtained. Keywords: Harmonic oscillator, gravitational field, position-dependent mass. PACS: 03.65.-w, 02.30 Hq.03.65.Ge DOI:- Received: 30.09.2021 AUTHORS & AFFILIATIONSInstitute of Physics, Azerbaijan National Academy of Sciences H. Javid av. 131, AZ1143, Baku, Azerbaijan E-mail: a.mammadova@physics.science.az |
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