Relativistic symmetries of a multiparameter exponential-type potential within Coulomb-like and Yukawa-like tensor interactions

Thermal and optical properties of two molecular potentials

“…Therefore, we need to find the exact analytical bound state solutions of the Schrödinger wave equation for a particle under the effect of these physical potentials. The potential models under present study are widely used in many branches of physics such as chemical physics, atomic physics, and nuclear physics (see for example [1][2][3][4][5][6][7][8][9][10][11]).…”

Analytical Solutions of the Dirac Equation with Effective Tensor Potential

“…Yukawa in 1935 published an article describing the interaction of elementary particles [1] with a potential model known today as Yukawa potential. This potential model was proposed for describing the nuclear interaction between protons and neutrons due to pion exchange and has found applications in many branches of physics [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Due to its simplest model of the interaction between fields, the Yukawa potential is often used as the prototype of more realistic theories in many situations.…”

“…The potential is also useful in the stabilization of energy levels and the computations of bound-states energies in neutral atoms both in relativistic and non-relativistic equations [10][11][12][13][14]. In relativistic quantum mechanics, the Yukawa potential has been used as a tensor interaction to stabilize the structures of the nucleus [16][17][18][19][20] by removing the de- * E-mail: oaclems14@physicist.net generacies between the spin and the pseudospin symmetries. For instance, Hamzavi et al [17] applied the inversely quadratic Yukawa potential and a tensor interaction term to the solutions of the approximate spin and pseudospin symmetries of Dirac.…”

“…Their findings also reveal the removal of degeneracies when the tensor interaction term is applied. The relativistic symmetries of the multiparameter exponential-type potential within the Coulomb-like and the Yukawa-like tensor interaction terms have also been studied [19], and the removal of degeneracies as a result of the application of the Yukawa tensor interaction term was reported.…”

Exact Solutions for Time-Dependent Schrödinger Equation in Presence of the Pöschl-Teller Double-Ring Shaped Harmonic Potential

“…In these papers, radial interactions have been studied in various conditions. It is fruitful to indicate that among those problems are: investigation of spin-less Salpeter equation with generalized Hulthen potential [1], the relativistic scattering states of the Hellmann potential [2], the Dirac equation under scalar and vector generalized isotonic oscillators and the Cornell tensor interaction [3], a new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa and Hellmann potential [4], the Dirac oscillator problem in the presence of the Aharonov-Bohm effect with the harmonic potential in commutative and non-commutative * corresponding author; e-mail: hadisobhani8637@gmail.com spaces [5], and relativistic symmetries of a multiparameter exponential-type potential within Coulomb-like and Yukawa-like tensor interactions [6]. For polar and azimuthal interactions also there have been a lot of efforts.…”