The effective mass Klein-Gordon equation in one dimension for the Woods-Saxon potential is solved by using the Nikiforov-Uvarov method. Energy eigenvalues and the corresponding eigenfunctions are computed. Results are also given for the constant mass case.
We obtain the energy eigenvalues and radial wave functions of the D-Dimensional Dirac equation in the case of spin symmetry for Woods-Saxon potential in minimal length formalism. The radial part of the D-Dimensional Dirac equation is solved by applied the supersymmetric quantum mechanics method using the Pekeris approximation to deal with the centrifugal term. The behavior of bound-state energy eigenvalues versus dimension and also quantum number is discussed for various minimal length parameters.
The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
本文利用Pekeris近似，详细研究了Wood-Saxon势下$D$维薛定谔方程的解析解.在一个新的改进方案，以克服离心项，能量本征值和相应的径向波函数的范围内的任何角动量的情况下的Nikiforov-Uvarov（NU）和超对称量子力学（SUSYQM）的方法被发现。在此基础上，得到了能量本征值的相同表达式，并给出了径向波函数的相互变换表达式。此外，还定义了与$V_{0}$势深度有关的有限数能谱、径向$n_{r}$量子数和轨道$l$量子数以及参数$D, a, R_{0}$.
The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods-Saxon potential reported in [Phys. Rev. C 72, 027001 (2005)] is extended to the fractional forms using the generalized fractional derivative and the fractional Nikiforov-Uvarov (NU) technique. Analytical solutions of bound states of the Schrodinger equation for the present potential are obtained in the terms of fractional Jacobi polynomials. It is demonstrated that the classical results are a special case of the present results at Elfa=Beta=1 Therefore, the present results play important role in mo…
In this paper, we present a general method to solve non-hermetic potentials with PT symmetry using the definition of two $η$-pseudo-hermetic and first-order operators. This generator applies to the Dirac equation which consists of two spinor wave functions and non-hermetic potentials, with position that mass is considered a constant value and also Hamiltonian hierarchy method and the shape invariance property are used to perform calculations. Furthermore, we show the correlation between the potential parameters with transmission probabilities that $η$-pseudo-hermetic using the change of focal …
The quantum engine cycle serves as an analogous representation of classical heat engines for microscopic systems and the quantum regime of thermal devices is composed of a single element. In this work, the Quantum-Mechanical properties of a non-linear quantum oscillator described by the Woods-Saxon [WS] model are examined. The Quantum-Mechanical analogue of the Carnot cycle was constructed using changes in both the width L of the well and the quantum state of the potential well. The efficiency of the quantum engine, consisting of adiabatic and isothermal processes based on the Woods-Saxon [WS]…
Bound states of the Klein-Gordon equation in D-dimensions with some physical scalar and vector exponential-type potentials including orbital centrifugal term
Analytical Solutions of One-Dimensional ($1\mathcal{D}$) Potentials for Spin-0 Particles via the Feshbach-Villars Formalism
Echahid Cheikh Larbi Tebessi University（埃查希德·谢赫·拉比·特贝西大学）；Research Center of Astrophysics and Cosmology, Khazar University（哈萨克斯坦大学天体物理学与宇宙学研究中心）；Departamento de Física, Universidade Federal do Maranhão（马拉尼昂联邦大学物理系）
