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Exponential decay of bound state wave functions

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Abstract

The spatial decay properties of the wave functions of multiparticle systems are investigated. The particles interact through pair potentials in the classR+L ∞ɛ . The bound states lie below the bottom of the continuous spectrum of the system. Exponential decay, in anL 2 sense, is proven for these wave functions. The result is the best possible one which will cover every potential in this class.

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Authors and Affiliations

  1. School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin

    A. J. O'Connor

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  1. A. J. O'Connor
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Based on a thesis submitted to Princeton University in partial fulfillment of the degree of Doctor of Philosophy.

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O'Connor, A.J. Exponential decay of bound state wave functions. Commun.Math. Phys. 32, 319–340 (1973). https://doi.org/10.1007/BF01645613

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  • DOI: https://doi.org/10.1007/BF01645613

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