Analytical treatment of the oscillating Yukawa potential

@article{Bahlouli2011AnalyticalTO,
  title={Analytical treatment of the oscillating Yukawa potential},
  author={H. Bahlouli and M. S. Abdelmonem and S. M. Al-Marzoug},
  journal={Chemical Physics},
  year={2011},
  volume={393},
  pages={153-156}
}
10 Citations

Tables from this paper

Computation of bound states for 2D potentials using discrete basis

Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix representation of the associated

Studies on some exponential‐screened coulomb potentials

The generalized pseudospectral method is used to study the bound-state spectra of some of the exponentially screened Coulomb potentials, namely, the exponential cosine screened Coulomb (ECSC) and

Ja n 20 13 Solving for three-dimensional central potentials using matrix mechanics

Matrix mechanics is an important component of an undergraduate education in quantum mechanics. In this paper we present several examples of the use of matrix mechanics to solve for a number of three

Particle confined in modified ring-shaped potential

The spectrum of a particle confined in Hulthén plus ring-shaped potential is obtained by solving the time-independent Schrödinger equation numerically. The effect of potential parameters on various

Oscillating Yukawa fluid at a hard wall: field theory description*

ABSTRACT A field-theoretical approach is applied to study the structure of an oscillating Yukawa fluid in contact with a hard wall. The system is described beyond the mean field approximation with

Thermostatistical analysis for short-range interaction potentials

In this paper, we study the thermodynamics of short-range central potentials, namely, the Lee-Wick potential, and the Plasma potential. In the first part of the paper we obtain the numerical solution

Generalized Dirac Oscillator in Cosmic String Space-Time

In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered

Generalized Dirac oscillator with κ-Poincaré algebra

In this paper, the generalized Dirac oscillator with κ-Poincare algebra is structured by replacing the momentum operator p with p − imωβV (r)r in κ-deformation Dirac equation. The deformed radial e...

s-Wave resonance in exponential cosine screened Coulomb potential

The s-wave resonance in the exponential cosine screened Coulomb potential is investigated by employing the uniform complex-scaling generalized pseudospectral method. It is found that beyond the

Solving for three-dimensional central potentials using numerical matrix methods

We present a numerical matrix method to find quantum stationary states and energies for three-dimensional central forces. The method can be used both for familiar, exactly solvable potentials and for

References

SHOWING 1-10 OF 51 REFERENCES

Analytical treatment of the Yukawa potential

Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate exactly the matrix elements of the Yukawa potential in this

An Alternative Accurate Solution of the Exponential Cosine Screened Coulomb Potential

In this paper, we show an alternative and accurate solution of the radial Schrodinger equation for the exponential cosine screened Coulomb potential within the framework of the asymptotic iteration

Hellmann potential in the J-matrix approach: I. Eigenvalues

The trajectories of the poles of the S-matrix for Hellmann potential, in the complex energy plane, have been studied near the critical screening parameter. The calculation has been performed using

The rotating Morse potential model for diatomic molecules in the J-matrix representation: II. The S-matrix approach

This is the second article in which we study the rotating Morse potential model for diatomic molecules using the tridiagonal J-matrix approach. Here, we further improve the accuracy of computing the

Application of the asymptotic iteration method to the exponential cosine screened Coulomb potential

We present the iterative solutions of the radial Schrodinger equation for the exponential cosine screened Coulomb (ECSC) potential for any n and l quantum states by applying the asymptotic iteration

The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states

This is the first in a series of articles in which we study the rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation. Here, we compute the bound-state

Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions

Quantum mechanicalN-body systems with dilatation analytic interactions are investigated. Absence of continuous singular part for the Hamiltonians is proved together with the existence of an
...