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Limits on stability of positive molecular ions in a homogeneous magnetic field

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Abstract

The problem of stability of positive diatomic molecular ions with the nuclear chargesZ 1 andZ 2 andN electrons in a homogeneous magnetic fieldB is studied forZ 1,Z 2,N,B→∞. The conditions of instability are obtained for different relations amongZ 1,Z 2,N andB. A new version of the HVZ theorem for systems in a homogeneous magnetic field is proved.

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Authors and Affiliations

  1. Steklov Mathematical Institute, St. Petersburg and Radiophysical Research Institute, B. Pecherskaya 25/14, 603600, N. Novgorod, Russia

    S. Vugalter

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  1. S. Vugalter
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Communicated by B. Simon

Supported by the International Erwin Schrödinger Institute, Austria, International Science Foundation Grant N R 94000 and Grant of Russian Fond Fudament. Issled. 94-01-01376.

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Vugalter, S. Limits on stability of positive molecular ions in a homogeneous magnetic field. Commun.Math. Phys. 180, 709–731 (1996). https://doi.org/10.1007/BF02099629

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  • DOI: https://doi.org/10.1007/BF02099629

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