TY - RPRT
T1 - Diamagnetic expansions for perfect quantum gases II: uniform bounds
AU - Philippe, Briet
AU - Cornean, Horia
AU - Louis, Delphine
PY - 2006
Y1 - 2006
N2 - Consider a charged, perfect quantum gas, in the effective mass approximation,
and in the grand-canonical ensemble. We prove in this paper that the generalized
magnetic susceptibilities admit the thermodynamic limit for all admissible fugacities,
uniformly on compacts included in the analyticity domain of the grand-canonical pressure.
The problem and the proof strategy were outlined in [BCL1]. In [BCL2] we proved
in detail the pointwise thermodynamic limit near z = 0. The present paper is the last
one of this series, and contains the proof of the uniform bounds on compacts needed
in order to apply Vitali’s Convergence Theorem.
AB - Consider a charged, perfect quantum gas, in the effective mass approximation,
and in the grand-canonical ensemble. We prove in this paper that the generalized
magnetic susceptibilities admit the thermodynamic limit for all admissible fugacities,
uniformly on compacts included in the analyticity domain of the grand-canonical pressure.
The problem and the proof strategy were outlined in [BCL1]. In [BCL2] we proved
in detail the pointwise thermodynamic limit near z = 0. The present paper is the last
one of this series, and contains the proof of the uniform bounds on compacts needed
in order to apply Vitali’s Convergence Theorem.
M3 - Report
T3 - Research Report Series
BT - Diamagnetic expansions for perfect quantum gases II: uniform bounds
PB - Department of Mathematical Sciences, Aalborg University
ER -