Exact Solutions of
                    <i>D</i>
                    -Dimensional Schrödinger Equation for an Energy-Dependent Potential by NU Method

Hassanabadi, H.; Zarrinkamar, S.; Rajabi, A. A.

doi:10.1088/0253-6102/55/4/01

Cited by 100 publications

(62 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here it is necessary to point out that, in the literature, there are many different methods for solving quantum models exactly [32][33][34][35][36]. Boumali and Hassanabadi [31] solved this problem analytically and obtained the exact solutions in terms of the hypergeometric functions.…”

Section: Review On (2 + 1)-dimensional Dirac Oscillator In the Noncommentioning

confidence: 99%

“…Since the appearance of quantum mechanics, considerable efforts have been devoted to obtaining exact solutions of the relativistic and nonrelativistic wave equations, using different methods and techniques [32][33][34][35][36]. Now in this paper, we study the Dirac oscillator in noncommutative phase space 2 Advances in High Energy Physics within the framework of representation theory of the sl(2) Lie algebra.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

Panahi

Savadi

2017

Advances in High Energy Physics

View full text Add to dashboard Cite

show abstract

Section: Review On (2 + 1)-dimensional Dirac Oscillator In the Noncommentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

Panahi

Savadi

2017

Advances in High Energy Physics

View full text Add to dashboard Cite

show abstract

“…To determine the second part of the wave fuction, we first of all calculate the weight function using equation (9). Thus: …”

Section: Calculation Of the Wave Functionmentioning

confidence: 99%

“…Many authors have provided both exact and approximate solutions to Schrodinger equation using different solvable potentials such as Pseudoharmonic, Rosen-Morse, coulomb , Yukawa, Kratzer ,Hellmann potentials [6][7][8][9]. Some of these potentials are solvable in Schrodinger equation using some method.…”

Section: Introductionmentioning

confidence: 99%

Exact Bound State Solution of Qdeformed Woods-Saxon Plus Modified Coulomb Potential Using Conventional NIKIFOROV-UVAROV Method

Okon¹,

Popoola²,

Isonguyo³

2014

IJRAP

View full text Add to dashboard Cite

In this work, we obtained an exact solution to Schrodinger equation using q-deformed Woods-Saxon plus modified Coulomb potential Using conventional Nikiforov-Uvarov method. We also obtained the energy eigen value and its associated total wave function . This potential with some suitable conditions reduces to two well known potentials namely: the Yukawa and coulomb potential. Finally, we obtained the numerical results for energy eigen value with different values of q as dimensionless parameter. The result shows that the values of the energies for different quantum number(n) is negative(bound state condition) and increases with an increase in the value of the dimensionless parameter(arbitrary constant). The graph in figure (1) shows the different energy levels for a particular quantum number. KEYWORDSSchrodinger, Nikiforov-Uvarov method, Woods-Saxon potential plus modified exponential potential.

show abstract

“…have great importance in atomic and molecular physics and have attracted much attention and interest since the early development of quantum mechanics till today [1][2][3][4][5][6][7][8][9][10][11][12][13]. In nuclear and high energy physics, one of the interesting problems is to obtain exact solution of the Klein-Gordon and Dirac equations.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Treatment of Massive Klein-Gordon Particle by Modified Generalized Hulthen Potential

Antia¹,

Essien²,

Atat³

2017

JMSS

View full text Add to dashboard Cite

Approximate bound state solutions of spinless particles with a special case of equal scalar and vector modified generalized Hulthen potential has been obtained under the massive Klein-Gordon equation. The energy eigenvalues and the corresponding wave functions expressed in terms of a Jacobi polynomial are also obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method. Under limiting cases our result are in agreement with the existing literature. Our results could be used to study the interactions and binding energies of the central potential for diatomic molecules in the relativistic framework which have many applications in physics and some others related disciplines.

show abstract

Exact Solutions of D -Dimensional Schrödinger Equation for an Energy-Dependent Potential by NU Method

Abstract: We study the D-dimensional Schrödinger equation for an energy-dependent Hamiltonian that linearly depends on energy and quadraticly on the relative distance. Next, via the Nikiforov-Uvarov (NU) method, we calculate the corresponding eigenfunctions and eigenvalues.

Cited by 100 publications

References 38 publications

Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

Exact Bound State Solution of Qdeformed Woods-Saxon Plus Modified Coulomb Potential Using Conventional NIKIFOROV-UVAROV Method

Relativistic Treatment of Massive Klein-Gordon Particle by Modified Generalized Hulthen Potential

Contact Info

Product

Resources

About