Thermal properties of 2D Schrödinger equation with new Morse interacting potential

In this article, we carried out a comprehensive study of the analytical solutions of the 2D Schrödinger equation for a new Morse interacting potential. Using Nikiforov–Uvarov method, the energy eigenvalues and corresponding radial wave functions are obtained analytically. The thermodynamic and thermomagnetic properties of the system for the new Morse potential such as the partition function of the system, Helmholtz free energy, mean energy, entropy, specific heat capacity, magnetization, magnetic susceptibility, vibrational mean energy, and persistent current are analyzed in a closed form. Also, the numerical bound state solution for the new Morse interacting potential under the influence of AB and magnetic field for fixed magnetic quantum number but with varying principal quantum number for screening parameter is studied. It is shown that the temperature and the maximum quantum number effects play an importance role for the investigation of thermodynamic and thermomagnetic properties of the quantum system. Graphical abstract The partition function is the distribution function that can be used in understanding the quantum behavior of a physical system such as thermodynamic and thermomagnetic properties.