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Symmetry breaking for a non-linear Schrödinger equation

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Abstract

We define a notion of stability for molecular states and show that the stable ground states of a molecular Hamiltonian are not unique (break rotational symmetry) if the atomic masses are greater than certain finite critical values. The stable ground states are stationary with respect to a new non-linear Schrödinger equation, which is exactly soluble in certain simple cases.

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Authors and Affiliations

  1. St. John's College, OX1 3JP, Oxford, England

    E. B. Davies

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  1. E. B. Davies
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Communicated by J. Ginibre

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Davies, E.B. Symmetry breaking for a non-linear Schrödinger equation. Commun.Math. Phys. 64, 191–210 (1979). https://doi.org/10.1007/BF01221731

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  • DOI: https://doi.org/10.1007/BF01221731

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