Thermodynamic properties for the sodium dimer

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

“…In recent years, thermodynamic properties of quantum systems [86][87][88][89][90], quantum Hall effect [23,91,92], and displaced Fock states [93,94] and the possibility of building a coherent state [95][96][97][98] have attracted a great current research interest in the literature. It is well known in nonrelativistic quantum mechanics that the Landau quantization is the simplest system that we can work with in the studies of the quantum Hall effect.…”

Thermal properties of three dimensional Morse potential for some diatomic molecules via Euler-Maclaurin approximation

“…Following its definition, the molecular vibrational partition function can be calculated by direct summation over all possible vibrational energy levels. Many efforts have been made to acquire explicit expressions of partition function for molecular potential energy models in diatomic and polyatomic molecules: in this context, and also in the non-relativistic case, the investigation of thermodynamic functions of some type of potentials such as Morse and improved Manning-Rosen potentials, improved Rosen-Morse and Tietz oscillators, through a partition function and its derivatives with respect to temperature, were an important field of research in the literature [9][10][11][12][13][14][18][19][20][21][22][23][24][25].…”

“…Based on the Poisson summation formula (see Appendix A) and in order to reduce the errors with the experimental results, he proposed an accurate closed-form expression for the partition function in the case of the Morse oscillator. His approach becomes a most useful method used to calculate the thermal properties of some diatomic molecules for a different type of potentials (see following Refs [9][10][11][12][13][14][18][19][20][21][22][23][24][25]). Recently, in the same context, another approach has been proposed: based on the Euler-Maclaurin formula (see Appendix A), the author has studied the case of the one-dimensional Morse potential in its q-deformed version: the results found are promising [26].…”

A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential

“…By replacing the Al + -ion by Cr 3+ , one obtains a familiar complementary colour red, and this is due to the fact that the impurity levels lead to the absorption of green light [4,5]. Recent and relevant results on the application of the solutions of Schrödinger equations with physical potential models in the field of thermal physics, for example, can be found in the work of Jia et al [6][7][8][9].…”