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Commutation relations, normal ordering, and Stirling numbers / Toufik Mansour, University of Haifa, Israel; Matthias Schork.

By: Mansour, Toufik [author.].
Contributor(s): Schork, Matthias [author.].
Material type: materialTypeLabelBookSeries: Discrete mathematics and its applications: Publisher: Boca Raton : CRC Press, [2016]Copyright date: ©2016Description: 1 online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780429101229.Subject(s): Weyl groups | Distribution (Probability theory)Additional physical formats: Print version: : No titleDDC classification: 512.2 Online resources: Click here to view.
Contents:
1. Introduction -- 2. Basic tools -- 3. Stirling and Bell numbers -- 4. Generalizations of Stirling numbers -- 5. The Weyl algebra, quantum theory, and normal ordering -- 6. Normal ordering in the Weyl algebra : further aspects -- 7. The q-deformed Weyl algebra and the meromorphic Weyl algebra -- 8. A generalization of the Weyl algebra -- 9. The q-deformed generalized Weyl algebra -- 10. A generalization of Touchard polynomials.
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A Chapman and Hall book.

Includes bibliographical references (pages 419-480) and indexes.

1. Introduction -- 2. Basic tools -- 3. Stirling and Bell numbers -- 4. Generalizations of Stirling numbers -- 5. The Weyl algebra, quantum theory, and normal ordering -- 6. Normal ordering in the Weyl algebra : further aspects -- 7. The q-deformed Weyl algebra and the meromorphic Weyl algebra -- 8. A generalization of the Weyl algebra -- 9. The q-deformed generalized Weyl algebra -- 10. A generalization of Touchard polynomials.

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