Computation of bound states for 2D potentials using discrete basis

Al-Marzoug, S. M.; Bahlouli, H.; Abdelmonem, M. S.

doi:10.1080/00268976.2012.760053

Cited by 2 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For future studies, we will investigate the bound and resonance state energies for two-electron systems (He-like atoms) and will be compared with the available experimental and theoretical data, for example, the finite-size scaling method [16,17]. It is also valuable to extend the present work to the cases of the two-dimensional problems [18].…”

Section: Resultsmentioning

confidence: 99%

Scaling behaviour of the Hellmann potential with different strength parameters

2014

View full text Add to dashboard Cite

We are reporting the scaling behaviour of the bound state energies associated with the Hellmann potential, with different strength parameters, using the Laguerre basis. We show the existence of a crossover phenomenon for the energy spectrum; the scaling laws for bound states as we approach the continuum are calculated. Close to the bound-resonance phase transition region, state energies and wavefunctions for the Hellmann potential, with different strength parameters, have been studied.

show abstract

Section: Resultsmentioning

confidence: 99%

Scaling behaviour of the Hellmann potential with different strength parameters

2014

View full text Add to dashboard Cite

show abstract

Scaling behavior of the Yukawa potential in two and three dimensions: a comparative study

Abdelmonem¹,

Al-Marzoug²,

Abdel-Hady³

et al. 2015

Phys. Scr.

View full text Add to dashboard Cite

By using the Laguerre basis in two and three dimensions, we report the scaling behavior of the bound state energies associated with the Yukawa potential. The energy spectrum crossover phenomenon is shown to exist through the scaling law for bound state energies nℓ , at different principal quantum numbers n and the angular momentum ℓ, as we approach the continuum. It is found that the bound/resonance phase transitions in n1 and n2 states are of the first order, while it is higher in the case of n0 states. Few physical phenomena, such as the dipole matrix element, the oscillator strength and the transition probabilities for the Yukawa potential are calculated in both two and three dimensions, and then compared with the analytic Coulomb potential. A comparison is made between the two-and three-dimensional cases. This method has a potential application in predicting stable and metastable nuclear, molecular, atomic and graphene states.

show abstract

Computation of bound states for 2D potentials using discrete basis

Cited by 2 publications

References 21 publications

Scaling behaviour of the Hellmann potential with different strength parameters

Scaling behaviour of the Hellmann potential with different strength parameters

Scaling behavior of the Yukawa potential in two and three dimensions: a comparative study

Contact Info

Product

Resources

About