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      Articles written in Pramana – Journal of Physics

    • $q$-Deformed oscillator algebra in fermionic and bosonic limits

      S SARGOLZAEIPOR H HASSANABADI W S CHUNG A N IKOT

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      In this paper, the structure function corresponding to the $q$-deformed harmonic oscillator algebra is considered, where we construct the Hamiltonian by using creation and annihilation operators. Finally, the problem is investigated by evaluating the partition function of the system in finite- and infinite-dimensional Fock space for both fermionic and bosonic limits. Other thermodynamic properties such as the internal energy and the specific heat of the system are also calculated.

    • Thermal properties of anharmonic Eckart potential model using Euler–MacLaurin formula

      G T OSOBONYE M ADEKANMBI A N IKOT U S OKORIE G J RAMPHO

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      By employing the asymptotic iteration method (AIM), we solved the three-dimensional time-independent Schrödinger equation with the anharmonic Eckart potential model. The expression for the eigensolution of the anharmonic Eckart potential was obtained. With the help of the ro-vibrational energy spectra obtained, we derived the expressions for the ro-vibrational partition function and other thermodynamic functions, via the Euler MacLaurin formula. Effects of temperature and upper bound vibration quantum number on the thermodynamic functions of anharmonic Eckart potential were discussed for some diatomic molecular systems. It has been established that unique critical temperatures of ro-vibrational entropy and ro-vibrational specific heat capacity exist for the selected diatomic molecules.

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