Non-relativistic continuous states in arbitrary dimension for a ring-shaped pseudo-Coulomb and energy-dependent potentials

Abstract

a Communicated by H. AmmariIn this research, the non-relativistic particle scattering has been investigated for an alternative pseudo-Coulomb potential plus ring-shaped and an energy-dependent potentials in D-dimensional space. The normalized wave functions of continuous states on the k=2 scale are expressed in terms of the hyper-geometric series, and formula of phase shifts is presented. Analytical properties of the scattering amplitude and thermodynamics properties are discussed. Some of the numerical results of energy levels have been calculated too.

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

“…In fact, the exact analytical solutions are essentially used in quantum-chemical, quantum electrodynamics and theory of molecular vibrations. They are also used to examine the correctness of models, approximations in computational physics, nuclear physics, nanostructures and computational chemistry [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Eigensolutions and Thermodynamic Properties of Kratzer plus generalized Morse Potential

“…The exact solutions of Schrödinger wave equation is one of the essential part in quantum mechanics, this is because Schrödinger wave equation is used to describe non-relativistic spinless particles and also has many applications in atomic, nuclear and high energy Physics [1,2,3,4,5,6,7,8,9]. This has prompted many researchers over the years to search for the solution of Schcrödinger wave equation with different potentials [10,11,12,13,14,15].…”

Schrödinger equation based analytic assessment of thermal properties of confined electrons under vector and scalar fields

“…[15][16][17] Therefore, the exact solutions of the Schrödinger, Dirac-Weyl and Dirac equations have become the essential part from the beginning of quantum mechanics, 18 and such solutions are also very useful in the field of the atomic, nuclear physics and nanostructures, molecular physics and condensed matter physics. [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] For example, the hydrogen atom, the harmonic oscillator, as charge carries into low-dimensional semiconducting structures 34 and graphene. 35 In fact, the exact solutions of these equations, expressed in analytical form, describing oneelectron atoms and few-body systems are fundamental in studying the atomic structure theory and more areas.…”