6533b7d2fe1ef96bd125e1ca
RESEARCH PRODUCT
Correlation functions for a strongly coupled boson system and plane partitions.
Nikolay BogoliubovJussi Timonensubject
Plane (geometry)General MathematicsMathematical analysisGeneral EngineeringGeneral Physics and AstronomyAmplitudeExact solutions in general relativityQuantum mechanicsExponentLimit (mathematics)ScalingQuantumBosonMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-02-16 | Philosophical transactions. Series A, Mathematical, physical, and engineering sciences |