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Thermodynamics of a statistically interacting quantum gas in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">D</mml:mi></mml:mrow></mml:math>dimensions
We present the exact thermodynamics (isochores, isotherms, isobars, response functions) of a statistically interacting quantum gas in $\mathcal{D}$ dimensions. The results in $\mathcal{D}=1$ are those of the thermodynamic Bethe ansatz for the nonlinear Schr\"odinger model, a gas with repulsive two-body contact potential. In all dimensions the ideal boson and fermion …