Properties of Quasi-Oscillator in Position-Dependent Mass Formalism
Soroush Zare, Hassan Hassanabadi
TL;DR
This paper explores a quasi-oscillator within the position-dependent mass framework, deriving analytical eigenfunctions and energy spectra, and analyzing thermodynamic properties, information entropy, and uncertainties.
Contribution
It introduces an analytical approach to solve the Schrödinger equation for a quasi-oscillator with position-dependent mass, including thermodynamic and informational analyses.
Findings
Analytical eigenfunctions and energy spectra obtained.
Thermodynamic properties calculated and depicted.
Information entropy and uncertainties analyzed.
Abstract
After introducing Schr\"odinger equation within position- dependent mass formalism, a quasi-oscillator has been considered. Eigen functions and energy spectra have been obtained analytical. Then thermodynamic properties, information entropy and uncertainty in coordinate and momentum corresponding the considered system have calculated as well as some depicted.
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