Correlation functions for a strongly coupled boson system and plane partitions

A quantum phase model is introduced as a limit for very strong interactions of a strongly correlated q-boson hopping model. The exact solution of the phase model is reviewed, and solutions are also provided for two correlation functions of the model. Explicit expressions, including both amplitude an...

Full description

Saved in:
Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2011-03, Vol.369 (1939), p.1319-1333
Main Authors: Bogoliubov, Nikolay, Timonen, Jussi
Format: Article
Language:English
Subjects:
Bosons
Correlation Functions
Correlations
Fermions
Geometric planes
Mathematical functions
Plane Partitions
Probability theory
Sentence commutation
State vectors
String theory
Strong nuclear force
Strongly Interacting Bosons
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A quantum phase model is introduced as a limit for very strong interactions of a strongly correlated q-boson hopping model. The exact solution of the phase model is reviewed, and solutions are also provided for two correlation functions of the model. Explicit expressions, including both amplitude and scaling exponent, are derived for these correlation functions in the low temperature limit. The amplitudes were found to be related to the number of plane partitions contained in boxes of finite size.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2010.0322