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Die Klassifikation nach inneren Symmetrien beim quantenmechanischen Mehrkörperproblem

II.n-Teilchensysteme mit harmonischer Wechselwirkung

Classification according to internal symmetries in the quantum-mechanical many-body-problem

II.n-Particle-systems with harmonic interaction

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Zeitschrift für Physik

Abstract

For systems ofn identical particles with harmonic two-body interaction a method is derived which allows for anyn the construction of a complete orthonormal set of functions that are translationally invariant and are classified according to energy, permutational symmetry,SU (3), angular momentum, and parity. Moshinsky's method for the determination of translationally invariant states with definite permutational symmetry for harmonic two-body interaction is briefly reviewed and is extended to additionalSU (3)-classification. His method, however, is seen to be restricted to the casesn=3,n=4.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Erlangen-Nürnberg, Deutschland

    G. Wunner

Authors
  1. G. Wunner
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Der Autor dankt Prof. Dr. H. Volz und Dr. H. Ruder, die die Anregung zu dieser Arbeit gaben, für wertvolle Ratschläge zum Fortgang dieser Arbeit und ihre stete Bereitschaft zum Gespräch.

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Wunner, G. Die Klassifikation nach inneren Symmetrien beim quantenmechanischen Mehrkörperproblem. Z. Physik 269, 411–420 (1974). https://doi.org/10.1007/BF01668615

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  • DOI: https://doi.org/10.1007/BF01668615

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