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Gap Labelling Theorems for Schrödinger Operators

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Abstract

Quantum Mechanics was born in 1900, when Planck [PL00] investigated the laws of black body radiation. He found the correct formula for the power spectrum in terms of the light frequency. Einstein’s interpretation in 1905 by means of energy quanta [EI05] was confirmed by his interpretation of the photoelectric effect. However it took years before Quantum Mechanics became such a solid body of knowledge that it could not be avoided by any reasonable physicist. There is no doubt today that it is a fundamental theory of matter, and that it has changed daily life through new technology, in a way which has never been known before in human history.

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Authors
  1. Jean Bellissard
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  1. Département de Mathématiques, Université Pierre et Marie Curie (Paris VI), Tour 45-46, 4 Place Jussieu, F-75252, Paris Cedex 05, France

    Michel Waldschmidt

  2. Centre d’Etudes de Saclay, Service de Physique Théorique, F-91191, Gif-sur-Yvette Cedex, France

    Pierre Moussa , Jean-Marc Luck  & Claude Itzykson ,  & 

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Bellissard, J. (1992). Gap Labelling Theorems for Schrödinger Operators. In: Waldschmidt, M., Moussa, P., Luck, JM., Itzykson, C. (eds) From Number Theory to Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02838-4_12

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  • DOI: https://doi.org/10.1007/978-3-662-02838-4_12

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