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Phase factors in bases for solutions of time-dependent schrödinger equations

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

The time-dependent Schrödinger equation is formulated within a model space by means of a finite set of coupled, linear differential equations. The basis is spanned by a set of orthogonal and well-defined many body wave-functions, which are solutions of a model Hamiltonian in a “moving frame”. As a by-product one is able to separate approximatively collective potential, collective kinetic, and intrinsic excitation energy for arbitrary collective motion. For the two types of motion discussed in greater details (i.e. center of mass and quadrupole motion), the expressions for the collective kinetic energy approach their correct asymptotic values.

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References

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Authors and Affiliations

  1. Max-Planck-Institut für Kernphysik, Heidelberg, Germany

    H. C. Pauli

  2. Department of Physics, FM-15, University of Washington, Seattle, WA, USA

    L. Wilets

Authors
  1. H. C. Pauli
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  2. L. Wilets
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Additional information

Supported by Max-Planck-Gesellschaft, Germany.

It is a pleasure to thank our partners in the roaring discussions at the Max-Planck-Institute during the past summer weeks, out of which these ideas finally emerged. In particular we would like to thank Profs. and Drs. H. Weidenmüller, N. Balazs, G. Schütte, Y. Yariv and last but not least T. Ledergerber for the continuous provision of excitement and interest.

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Pauli, H.C., Wilets, L. Phase factors in bases for solutions of time-dependent schrödinger equations. Z Physik A 277, 83–88 (1976). https://doi.org/10.1007/BF01547506

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  • DOI: https://doi.org/10.1007/BF01547506

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