학술논문
Exact solutions of position-dependent mass Schrödinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov-Uvarov method.
Document Type
Journal
Author
Ikot, A. N. (WAN-PORT-P) AMS Author Profile; Okon, I. B. (WAN-UYO-P) AMS Author Profile; Okorie, U. S. (WAN-AISU-P) AMS Author Profile; Omugbe, E. (WAN-FUPR-P) AMS Author Profile; Abdel-Aty, A. -H. (SAR-BISH-PSC) AMS Author Profile; Obagboye, L. F. (WAN-NMC) AMS Author Profile; Ahmadov, A. I. (WAN-DSU-P) AMS Author Profile; Okpara, N. (CL-UDEAS-IP) AMS Author Profile; Duque, C. A. (IRQ-TIUED-PED) AMS Author Profile; Abdullah, Hewa Y. (IRQ-SALU-P) AMS Author Profile; Qadir, Karwan W. AMS Author Profile
Source
Subject
33 Special functions -- 33C Hypergeometric functions
33C10Bessel and Airy functions, cylinder functions, ${}_0F_1$
33C10
Language
English
Abstract
Summary: ``In this work, we find the exact solution of Schrödingerwave equation for position-dependent mass with pseudoharmonicoscillator using extended Nikiforov-Uvarov method. We obtained theenergy eigen equation presented in a closed and compact form and usedthe result to study both superstatistics and thermodynamic propertiesby first determining the partition function of the system. Theunnormalized wave function was obtained and expressed in terms ofconfluent Heun function. Using the resulting energy eigen equation, thenumerical computation was computed for varying masses with fixedphysical constant potential parameter $\lambda$. The numerical resultshows that the bound state energies increase with quantum states butdecreases with the dependent mass $m(x)$. The thermodynamics andsuperstatistics plots are also reported.''