Combinatorial solutions to normal ordering of bosons

Blasial, P.; Gawron, A.; Horzela, A.; Penson, K.A. and Solomon, A.I. (2005). Combinatorial solutions to normal ordering of bosons. Czechoslovak Journal of Physics, 55(11) pp. 1335–1341.

DOI: https://doi.org/10.1007/s10582-006-0006-9

Abstract

We present a combinatorial method of constructing solutions to the normal ordering of boson operators. Generalizations of standard combinatorial notions — the Stirling and Bell numbers, Bell polynomials and Dobinski relations — lead to calculational tools, which allow to find explicitly normally ordered forms for a large class of operator functions.

Viewing alternatives

Metrics

Item Actions

Export

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

About

• Item ORO ID
• 7401
• Item Type
• Journal Item
• ISSN
• 0011-4626
• Keywords
• boson normal ordering; coherent states; combinatorics
• 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