scholarly journals Bound State Solution of Dirac Equation for Generalized Pöschl-Teller plus Trigomometric Pöschl-Teller Non- Central Potential Using SUSY Quantum Mechanics

2014 ◽  
Vol 46 (3) ◽  
pp. 205-223 ◽  
Author(s):  
S. Suparmi ◽  
◽  
C. Cari ◽  
Keyword(s):  
Quantum Mechanics ◽  
Dirac Equation ◽  
Bound State ◽  
State Solution ◽  
Bound State Solution ◽  
Central Potential

Bound state solution of the Dirac equation for a new anharmonic oscillator potential

2007 ◽  
Vol 76 (5) ◽  
pp. 442-444 ◽  
Author(s):  
Gao-Feng Wei ◽  
Chao-Yun Long ◽  
Zhi He ◽  
Shui-Jie Qin ◽  
Jing Zhao
Keyword(s):  
Dirac Equation ◽  
Anharmonic Oscillator ◽  
Bound State ◽  
State Solution ◽  
Bound State Solution ◽  
Oscillator Potential ◽  
Anharmonic Oscillator Potential

scholarly journals Bound state solution of the Klein–Fock–Gordon equation with the Hulthén plus a ring-shaped-like potential within SUSY quantum mechanics

2018 ◽  
Vol 33 (33) ◽  
pp. 1850203 ◽  
Author(s):  
A. I. Ahmadov ◽  
Sh. M. Nagiyev ◽  
M. V. Qocayeva ◽  
K. Uzun ◽  
V. A. Tarverdiyeva
Keyword(s):  
Quantum Mechanics ◽  
Gordon Equation ◽  
Jacobi Polynomials ◽  
Scalar Potential ◽  
Bound State ◽  
Wave Functions ◽  
State Solution ◽  
Bound State Solution ◽  
Radial Wave ◽  
Energy Eigenvalues

In this paper, the bound state solution of the modified Klein–Fock–Gordon equation is obtained for the Hulthén plus ring-shaped-like potential by using the developed scheme to overcome the centrifugal part. The energy eigenvalues and corresponding radial and azimuthal wave functions are defined for any [Formula: see text] angular momentum case on the conditions that scalar potential is whether equal and nonequal to vector potential, the bound state solutions of the Klein–Fock–Gordon equation of the Hulthén plus ring-shaped-like potential are obtained by Nikiforov–Uvarov (NU) and supersymmetric quantum mechanics (SUSY QM) methods. The equivalent expressions are obtained for the energy eigenvalues, and the expression of radial wave functions transformations to each other is revealed owing to both methods. The energy levels and the corresponding normalized eigenfunctions are represented in terms of the Jacobi polynomials for arbitrary [Formula: see text] states. A closed form of the normalization constant of the wave functions is also found. It is shown that the energy eigenvalues and eigenfunctions are sensitive to [Formula: see text] radial and [Formula: see text] orbital quantum numbers.

EXACT SOLUTION OF THE DIRAC EQUATION FOR A SINGULAR CENTRAL POWER POTENTIAL

2000 ◽  
Vol 15 (25) ◽  
pp. 1583-1588 ◽  
Author(s):  
SUBIR K. BOSE ◽  
AXEL SCHULZE-HALBERG
Keyword(s):  
Exact Solution ◽  
Excited State ◽  
Dirac Equation ◽  
Power Law ◽  
Bound State ◽  
State Solution ◽  
Bound State Solution ◽  
Coulomb Term ◽  
Coulomb Part

We compute an exact solution of the Dirac equation for a certain power law potential that consists of two parts: a scalar and a vector, where the latter contains a Coulomb term. We obtain energies that turn out to depend only on the strength of the Coulomb part of the potential, but not on the remaining power law part. We show that our ansatz also yields a bound state solution for the lowest excited state. This work is an extension of Franklins result.7

scholarly journals Bound state of solution of Dirac-Coulomb problem with spatially dependent mass

Open Physics ◽  
2014 ◽  
Vol 12 (4) ◽  
Author(s):  
Eser Olğar ◽  
Hayder Dhahir ◽  
Haydar Mutaf
Keyword(s):  
Dirac Equation ◽  
Coulomb Potential ◽  
Mass Function ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Bound State Solution ◽  
Function Generator ◽  
Dependent Mass ◽  
And Function ◽  
Position Dependent Mass

AbstractThe bound state solution of Coulomb Potential in the Dirac equation is calculated for a position dependent mass function M(r) within the framework of the asymptotic iteration method (AIM). The eigenfunctions are derived in terms of hypergeometric function and function generator equations of AIM.

Existence of a bound state solution for quasilinear Schrödinger equations

2017 ◽  
Vol 8 (1) ◽  
pp. 323-338 ◽  
Author(s):  
Yan-Fang Xue ◽  
Chun-Lei Tang
Keyword(s):  
Nonlinear Term ◽  
Quasilinear Equation ◽  
Bound State ◽  
State Solution ◽  
Schrodinger Equations ◽  
Linking Theorem ◽  
Schrödinger Equations ◽  
Bound State Solution ◽  
Asymptotically Linear ◽  
Semilinear Equation

Abstract In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in {\mathbb{R}^{N}} . After changing the variables, the quasilinear equation becomes a semilinear equation, whose respective associated functional is well defined in {H^{1}(\mathbb{R}^{N})} . The proofs are based on the Pohozaev manifold and a linking theorem.

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