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**Müller, David (2016): Minimax Principles, Hardy-Dirac Inequalities, and Operator Cores for Two and Three Dimensional Coulomb-Dirac Operators. In: Documenta Mathematica, Vol. 21: pp. 1151-1170**

**Full text not available from 'Open Access LMU'.**

## Abstract

For n is an element of{2, 3} we prove minimax characterisations of eigenvalues in the gap of the n dimensional Dirac operator with an potential, which may have a Coulomb singularity with a coupling constant up to the critical value 1/(4 - n). This result implies a so-called Hardy-Dirac inequality, which can be used to define a distinguished self-adjoint extension of the Coulomb-Dirac operator defined on C-0(infinity)(R-n \ {0};C2(n-1)) as long as the coupling constant does not exceed 1/(4 - n). We also find an explicit description of an operator core of this operator.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 1431-0643 |

Language: | English |

Item ID: | 47416 |

Date Deposited: | 27. Apr 2018, 08:13 |

Last Modified: | 27. Apr 2018, 08:13 |