PT symmetry and shape invariance for a potential well with a barrier

Jia, Chun‐Sheng; Zeng, Xiangbin; Sun, Lijun

doi:10.1016/s0375-9601(01)00840-4

Cited by 101 publications

(39 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is a special case of the five-parameter exponential-type potential model [45,46]. The range of parameter was taken as in [47] and has been extended to or or even complex in [46].…”

Section: Introductionmentioning

confidence: 99%

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Ikhdair¹

2011

JQIS

View full text Add to dashboard Cite

The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials

show abstract

“…It is a special case of the five-parameter exponential-type potential model [45,46]. The range of parameter was taken as in [47] and has been extended to or or even complex in [46].…”

Section: Introductionmentioning

confidence: 99%

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Ikhdair¹

2011

JQIS

View full text Add to dashboard Cite

show abstract

“…The Potential in Eq. (1) is also one of the important examples for the special case of the multiparameter exponential-type potential model [35,36]. By solving the Klein-Gordon equation and Dirac equation with equal scalar and vector Pöschl-Teller-like potentials, the exact relativistic energy equations have been obtained for the swave bound states (l = 0) [37,38].…”

Section: Introductionmentioning

confidence: 99%

Tensor coupling and relativistic spin and pseudospin symmetries of the Pöschl–Teller-like potential

2014

View full text Add to dashboard Cite

In this research, we have been obtained the Dirac equation for second Pöschl-Teller-like potential including a Coulomb-like tensor interaction with arbitrary spin-orbit coupling quantum number j. Under the condition of spin and pseudospin (p-spin) symmetries, we use the basic concept of the supersymmetric shape invariance formulism in quantum mechanics and the function analysis method to obtain energy eigenvalues and corresponding two-component spinors of the Dirac particle. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.

show abstract

“…There has been continues interest in the solutions of Klein-Gordon and Dirac equations for some certain potentials [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Within the framework of Dirac equation, pseudospin symmetry is used to feature deformed nuclei, superdeformation, to establish an effective shell-model [18][19][20] and spin symmetry is often related to mesons [21].…”

Section: Introductionmentioning

confidence: 99%

Approximate Pseudospin Solutions of the Dirac Equation with the Eckart Potential Including a Coulomb-Like Tensor Potential

2010

View full text Add to dashboard Cite

show abstract

PT symmetry and shape invariance for a potential well with a barrier

Cited by 101 publications

References 17 publications

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Tensor coupling and relativistic spin and pseudospin symmetries of the Pöschl–Teller-like potential

Approximate Pseudospin Solutions of the Dirac Equation with the Eckart Potential Including a Coulomb-Like Tensor Potential

Contact Info

Product

Resources

About