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}
}
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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…

Singular short range potentials in the J-matrix approach

A perturbative treatment for the bound states of the Hellmann potential

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…

Solution of the generalized exponential cosine screened Coulomb potential

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…
...