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Determination of bound states and resonances of the Debye-potential by complex scaling

Author

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  • Haberland, H
  • Kraeft, W.D
  • Schlanges, M
  • Gericke, D.O

Abstract

For a statically screened Coulomb-potential, two particle bound and resonant states are determined which correspond to complex poles of the S-matrix. The complex scaling method is used in order to calculate both the real eigenvalues of the Hamiltonian and the complex resonances in the same way. The eigenfunctions are described by complex power series; for the coefficients a recursion formula is given.

Suggested Citation

  • Haberland, H & Kraeft, W.D & Schlanges, M & Gericke, D.O, 1995. "Determination of bound states and resonances of the Debye-potential by complex scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 618-627.
    • Handle: RePEc:eee:phsmap:v:220:y:1995:i:3:p:618-627
    DOI: 10.1016/0378-4371(95)00180-F
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    References listed on IDEAS

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    1. Kraeft, W.D. & Luft, M. & Mihajlov, A.A., 1983. "Scattering properties and electrical conductivity for the Coulomb cut-off potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 120(1), pages 263-278.
    2. Kremp, D. & Gau, R. & Schlanges, M. & Kraeft, W.D., 1977. "Second virial coefficient at low temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(3), pages 613-621.
    3. Haberland, Hagen & Kraeft, Wolf Dietrich, 1994. "Two-particle states in dense hydrogen plasmas with external electric fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(1), pages 114-124.
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