Dobinski-type relations: some properties and physical applications

Blasiak, P.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2006). Dobinski-type relations: some properties and physical applications. Journal of Physics A: Mathematical and General, 39 pp. 4999–5006.

DOI: https://doi.org/10.1088/0305-4470/39/18/015

Abstract

We introduce a generalization of the Dobinski relation through which we define a family of Bell-type numbers and polynomials. For all these sequences, we find the weight function of the moment problem and give their generating functions. We provide a physical motivation of this extension in the context of the boson normal ordering problem and its relation to an extension of the Kerr Hamiltonian.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI

About

• Item ORO ID
• 6270
• Item Type
• Journal Item
• ISSN
• 0305-4470
• Keywords
• bosons; normal order; quantum theory
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Depositing User
• Allan Solomon