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Abstract
Using nonperturbative solutions, the binding energies for different atoms have been evaluated for the screened Coulomb potentials. The variation of the wavefunction with distance has also been studied. The results obtained are in excellent agreement with earlier calculations.
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References
- ALHAIDRI, A.D., BAHLOULI, H. and ABDELMONEM. 2008. Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies. J. Phys. A: Math. Theor. 41: 1-9.
- COOPER, J.W. 1974. High Energy dependence of the molecular-hydrogen photo ionization cross-section. Phys. Rev. A. 9: 2236-2237.
- DUTT, R. 1979. Bound s-state energies for the exponential cosine screened Coulomb potential in Ecker-Weizel approximations. Phys. Lett. A. 73: 310-312.
- DUTT, R., RAY, A. and RAY, P.P. 1981. Bound states of screened Coulomb potentials. Phys. Lett. A. 83: 65-68.
- FARIDFATHI, G. and SEVER, R. 2007. Supersymmetric Solutions of PT-/non- PT-symmetric and non-Hermitian screened Coulomb potential via Hamiltonian hierarchy inspired variation Method. J. Math Chem. 42: 289-291.
- GREENE, R.L. and ALDRICH, C. 1976. Variational Wave Functions for a screened Coulomb Potential. Phys .Rev. A. 14: 2363-2366.
- HARRIS, G.M. 1962. Attractive Two-Body Interactions in Partially Ionised Plasmas. Phys. Rev. 125: 1131-1140.
- IYER, R.C. 1980. “ Potential and Scattering Problems in Quantum Mechanics”. Ph.D thesis, University of Jabalpur, India. Chapter 4. (Unpublished).
- LAM, C.S. and VARSHNI, Y.P. 1976. Bound-state energies for the static screened Coulomb potential. Phys. Lett. A. 59: 363-365.
- LAM, C.S. and VARSHNI, Y.P. 1971. Energies of s-state Eigenstates in a static-screened Coulomb potential. Phys. Rev. A. 4:1875-1881.
- MCENNAN, J., KISSEL, L. and PRATT, R.H. 1976. Analytic perturbation theory for screened Coulomb potentials: Non-relativistic case. Phys. Rev. A. 13: 532-562.
- MEHTA, C.H. and PATIL, S.H. 1978a. Bound-states of the potential . Phys. Rev. A. 17: 43-46.
- MEHTA, C.H and PATIL, S.H. 1978b. Nonperturbative approach to Screened Coulomb potentials. Phys. Rev. A. 17: 34-42.
- PRATT, R.H. and TSENG, H.K. 1972. Behaviour of Electron Wave Functions near the Atomic Nucleus and Normalization screening theory in the atomic Photoeffect. Phys. Rev. A. 5: 1063-1072.
- RAY, P.P. and RAY, A. 1980. Continuum and discrete s-states for the exponential cosine screened Coulomb potential by the Ecker-Weizel approximations. Phys. Lett. A. 78: 443-446.
- ROGERS, F.J., GRABOSKE, H.C. and HARWOOD, D.J. 1970. Bound Eigenstates of static Screened Coulomb Potential. Phys. Rev. A. 1: 1577-1586.
- ROUSSEL, K.M. and O’CONNEL, R.F. 1974. Variational solution of Schrödinger Equation for the static –Coulomb potential. Phys. Rev. A. 9: 52-56.
- SCHIFF, L.I. 1968. Quantum Mechanics, Ch. 8. McGraw-Hill. (3rd Edition).
- SINGH, D. and VARSHNI, Y.P. 1984. Comparative Study of the bound state of static Coulomb and cut-off Coulomb potentials. Phys. Rev. A. 29: 2895- 2898.
- TSENG, H.K. and PRATT, R.H. 1971. Exact screened calculations of Atomic-Field Pair Production and Low-Energy screening. Phys. Rev. A. 4:1835-1843.
- TSENG, H.K. and PRATT, R.H. 1973. Comments on Screening and Shell-Ratio effects in Single-Quantum Pair Annihilation. Phys. Rev. A. 7:1423-1426.
References
ALHAIDRI, A.D., BAHLOULI, H. and ABDELMONEM. 2008. Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies. J. Phys. A: Math. Theor. 41: 1-9.
COOPER, J.W. 1974. High Energy dependence of the molecular-hydrogen photo ionization cross-section. Phys. Rev. A. 9: 2236-2237.
DUTT, R. 1979. Bound s-state energies for the exponential cosine screened Coulomb potential in Ecker-Weizel approximations. Phys. Lett. A. 73: 310-312.
DUTT, R., RAY, A. and RAY, P.P. 1981. Bound states of screened Coulomb potentials. Phys. Lett. A. 83: 65-68.
FARIDFATHI, G. and SEVER, R. 2007. Supersymmetric Solutions of PT-/non- PT-symmetric and non-Hermitian screened Coulomb potential via Hamiltonian hierarchy inspired variation Method. J. Math Chem. 42: 289-291.
GREENE, R.L. and ALDRICH, C. 1976. Variational Wave Functions for a screened Coulomb Potential. Phys .Rev. A. 14: 2363-2366.
HARRIS, G.M. 1962. Attractive Two-Body Interactions in Partially Ionised Plasmas. Phys. Rev. 125: 1131-1140.
IYER, R.C. 1980. “ Potential and Scattering Problems in Quantum Mechanics”. Ph.D thesis, University of Jabalpur, India. Chapter 4. (Unpublished).
LAM, C.S. and VARSHNI, Y.P. 1976. Bound-state energies for the static screened Coulomb potential. Phys. Lett. A. 59: 363-365.
LAM, C.S. and VARSHNI, Y.P. 1971. Energies of s-state Eigenstates in a static-screened Coulomb potential. Phys. Rev. A. 4:1875-1881.
MCENNAN, J., KISSEL, L. and PRATT, R.H. 1976. Analytic perturbation theory for screened Coulomb potentials: Non-relativistic case. Phys. Rev. A. 13: 532-562.
MEHTA, C.H. and PATIL, S.H. 1978a. Bound-states of the potential . Phys. Rev. A. 17: 43-46.
MEHTA, C.H and PATIL, S.H. 1978b. Nonperturbative approach to Screened Coulomb potentials. Phys. Rev. A. 17: 34-42.
PRATT, R.H. and TSENG, H.K. 1972. Behaviour of Electron Wave Functions near the Atomic Nucleus and Normalization screening theory in the atomic Photoeffect. Phys. Rev. A. 5: 1063-1072.
RAY, P.P. and RAY, A. 1980. Continuum and discrete s-states for the exponential cosine screened Coulomb potential by the Ecker-Weizel approximations. Phys. Lett. A. 78: 443-446.
ROGERS, F.J., GRABOSKE, H.C. and HARWOOD, D.J. 1970. Bound Eigenstates of static Screened Coulomb Potential. Phys. Rev. A. 1: 1577-1586.
ROUSSEL, K.M. and O’CONNEL, R.F. 1974. Variational solution of Schrödinger Equation for the static –Coulomb potential. Phys. Rev. A. 9: 52-56.
SCHIFF, L.I. 1968. Quantum Mechanics, Ch. 8. McGraw-Hill. (3rd Edition).
SINGH, D. and VARSHNI, Y.P. 1984. Comparative Study of the bound state of static Coulomb and cut-off Coulomb potentials. Phys. Rev. A. 29: 2895- 2898.
TSENG, H.K. and PRATT, R.H. 1971. Exact screened calculations of Atomic-Field Pair Production and Low-Energy screening. Phys. Rev. A. 4:1835-1843.
TSENG, H.K. and PRATT, R.H. 1973. Comments on Screening and Shell-Ratio effects in Single-Quantum Pair Annihilation. Phys. Rev. A. 7:1423-1426.