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On point interaction in quantum mechanics

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Abstract

For the Schrödinger operator corresponding to the point interaction, a direct definition is given in terms of a singular perturbation.

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References

  1. S. Albeverio, F. Gesztesy, R. Høegh Krohn, and H. Holden, Solvable Models in Quantum Mechanics, Springer-Verlag (1988).

  2. B. S. Pavlov, “Theory of extensions and explicitly solvable models,” Usp. Mat. Nauk, 42, issue 6 (258), 99–131 (1987).

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Authors
  1. L. P. Nizhnik
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1557–1560, November, 1997.

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Nizhnik, L.P. On point interaction in quantum mechanics. Ukr Math J 49, 1752–1755 (1997). https://doi.org/10.1007/BF02487514

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  • DOI: https://doi.org/10.1007/BF02487514

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