The q-deformed Bose gas: Integrability and thermodynamics
Michael Bortz, Sergey Sergeev

TL;DR
This paper explores the integrability and thermodynamics of the q-deformed one-dimensional Bose gas, providing exact solutions and comparing thermodynamic results with effective field theory at low temperatures.
Contribution
It presents the exact solution for the q-deformed Bose gas, including integrals of motion and eigenvalues, and analyzes its thermodynamics.
Findings
Derived all integrals of motion and eigenvalues for the q-deformed Bose gas.
Provided thermodynamic properties and compared with effective field theory at low temperatures.
Confirmed the integrability and consistency of the model with known theories.
Abstract
We investigate the exact solution of the q-deformed one-dimensional Bose gas to derive all integrals of motion and their corresponding eigenvalues. As an application, the thermodynamics is given and compared to an effective field theory at low temperatures.
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