Abstract

Schrödinger equation is considered within position-dependent mass formalism with a quasi-oscillator interaction term. Wave functions and energy spectra have been obtained analytically. Thermodynamic properties, information entropy, and uncertainty in coordinate and momentum spaces are calculated. To provide a better physical insight into the solutions, some figures are included.

Highlights

  • Position-dependent mass property has a wide range of applications in various areas of material science and condensed matter physics [1,2,3,4,5,6,7,8] that’s why that many interests of physics have been attracted to this topic [9,10,11,12,13,14,15]

  • We studied a quasi-oscillator in Schrödinger equation within position-dependent mass formalism

  • In order to achieve our goal in article, we obtained wave function and energy spectra corresponding of the considered system, evaluated thermodynamic properties and information entropy as well as some expectation values and uncertainty principles

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Summary

Introduction

Position-dependent mass property has a wide range of applications in various areas of material science and condensed matter physics [1,2,3,4,5,6,7,8] that’s why that many interests of physics have been attracted to this topic [9,10,11,12,13,14,15]. As one the most important application of position-dependent mass formalism, we can mention in micro fabrication techniques such as molecular-beam epitaxy and nanolithography [16,17,18]. Schrödinger equation considering this formalism has been investigated via may different approaches such as path integral [19], super symmetric quantum mechanics [20], Darboux transformation [21], the de Broglie–Bohm approach [22] and Hamiltonian factorization [23]. We will analytically investigate this system by obtaining wave function and energy spectra, Shannon information entropy, thermodynamics properties.

We define
Where A and B are arbitrary constants and
And the specific heat capacity at constant volume is obtained from
7- Conclusion

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