Eigenkets of abnormal boson creation operator

Abstract

Abstract: Based on the important position and application of abnormal boson quantum system in the theory of relativistic covariant vector field of zero quality, the specific form of the eigenket of the abnormal boson creation operator can be derived by virtue of the contour integral representation of Dirac-function and its properties as well as the feature of the number representation of abnormal boson system. Furthermore, two sets of new orthogonality and completeness relations, which are irrelevant to normality operator, are obtained. Finally, as an applications, it is used to rewrite the expressions of the Hermite polynomial and Laguerre polynomial under the meaning of the contour integral, which presumably provide help for some questions of quantum optics about these polynomials.

Key words: contour integral

CLC Number:

O413.1

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