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Thermodynamics of ideal quantum gas with fractional statistics in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">D</mml:mi></mml:math>dimensions
We present exact and explicit results for the thermodynamic properties (isochores, isotherms, isobars, response functions, velocity of sound) of a quantum gas in dimensions $\mathcal{D}\ensuremath{\geqslant}1$ and with fractional exclusion statistics $0\ensuremath{\leqslant}g\ensuremath{\leqslant}1$ connecting bosons $(g=0)$ and fermions $(g=1)$. In $\mathcal{D}=1$ the results are equivalent to those of the Calogero-Sutherland model. Emphasis …