Briet, P.

Cornean, Horia Decebal

Louis, D.

    Aalborg UniversitetGeneralized susceptibilities for a perfect quantum gasCornean, Decebal Horia; Briet, P.; Louis, D.Published in:Markov Processes and Related FieldsPublication date:2005Document VersionPublisher's PDF, also known as Version of recordLink to publication from Aalborg UniversityCitation for published version (APA):Cornean, H. D., Briet, P., & Louis, D. (2005). Generalized susceptibilities for a perfect quantum gas. MarkovProcesses and Related Fields, 11, 177-188.General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright ownersand it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.            ? Users may download and print one copy of any publication from the public portal for the purpose of private study or research.            ? You may not further distribute the material or use it for any profit-making activity or commercial gain            ? You may freely distribute the URL identifying the publication in the public portal ?Take down policyIf you believe that this document breaches copyright please contact us at vbn@aub.aau.dk providing details, and we will remove access tothe work immediately and investigate your claim.Downloaded from vbn.aau.dk on: April 25, 2017Generalized susceptibilities for a perfect quantum gasAbstract: The system we consider here is a charged fermions gas in the ef-fective mass approximation, and in grand-canonical conditions. We assume thatthe particles are confined in a three dimensional cubic box Λ with side L ≥ 1,and subjected to a constant magnetic field of intensity B ≥ 0. Define the grandcanonical generalized susceptibilities χNL , N ≥ 1, as successive partial derivativeswith respect to B of the grand canonical pressure PL. Denote by P∞ the thermo-dynamic limit of PL. Our main result is that χNL admit as thermodynamic limitthe corresponding partial derivatives with respect to B of P∞. In this paper weonly give the main steps of the proofs, technical details will be given elsewhere.1

Generalized susceptibilities for a perfect quantum gas

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Generalized susceptibilities for a perfect quantum gas

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