Copy the page URI to the clipboard
Blasiak, P.; Penson, K.A.; Solomon, A.I.; Horzela, A. and Duchamp, G.H.E.
(2005).
DOI: https://doi.org/10.1063/1.1904161
URL: http://search.epnet.com/login.aspx?direct=true&db=...
Abstract
We give a general expression for the normally ordered form of a function F[w(a,a+)] where w is a function of boson annihilation and creation operators satisfying [a,a+]=1. The expectation value of this expression in a coherent state becomes an exact generating function of Feynman-type graphs associated with the zero-dimensional Quantum Field Theory defined by F(w). This enables one to enumerate explicitly the graphs of given order in the realm of combinatorially defined sequences. We give several examples of the use of this technique, including the applications to Kerr-type and superfluidity-type Hamiltonians.
Viewing alternatives
Download history
Metrics
Public Attention
Altmetrics from AltmetricNumber of Citations
Citations from DimensionsItem Actions
Export
About
- Item ORO ID
- 4826
- Item Type
- Journal Item
- ISSN
- 0022-2488
- Extra Information
- Copyright held by the American Institute of Physics.
- Keywords
- differential dynamical systems; differential operators; Hamilton-Jacobi equations; Hamiltonian systems; Stochastic processes; superfluidity
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Depositing User
- Users 6042 not found.