Some useful combinatorial formulas for bosonic operators

DOI10.1063/1.1904161zbMath1110.81112arXivquant-ph/0405103OpenAlexW3099708241WikidataQ60692318 ScholiaQ60692318MaRDI QIDQ3438394

Pawel Blasiak, Allan I. Solomon, Andrzej Horzela, Karol A. Penson, Gérard H. E. Duchamp

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0405103

Mathematics Subject Classification ID

Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (7)

Repeated derivatives of composite functions and generalizations of the Leibniz rule ⋮ Combinatorics of second derivative: graphical proof of Glaisher-Crofton identity ⋮ Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions ⋮ Extremal trees with respect to number of \((A, B, 2 C)\)-edge colourings ⋮ Noncrossing normal ordering for functions of boson operators ⋮ Laguerre-type derivatives: Dobiński relations and combinatorial identities ⋮ Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem

Cites Work

• The general boson normal ordering problem
• Quantum field theory of partitions
• Second Level Exponentials and Families Of Appell Polynomials
• Exponential Operators and Parameter Differentiation in Quantum Physics
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