Asymptotic expansion of the one-loop Ω-potential of quantum fields with a quadratic dispersion law

Abstract

Nonextensive contributions of free quantum fields with quadratic dispersion law to the partition function are investigated. Nonextensive corrections are caused by finite sizes of the system. The general procedure of finding such corrections is developed. As an example, a model of the ideal gas of nonrelativistic fermions in a cube is considered. The equations of state are obtained for this system.

Original language	English
Pages (from-to)	536-547
Number of pages	12
Journal	Russian Physics Journal
Volume	54
Issue number	5
DOIs	https://doi.org/10.1007/s11182-011-9650-z
Publication status	Published - Oct 2011
Externally published	Yes

Keywords

Lifshits-Kosevich effect
nonextensive oscillating corrections to the omega-potential

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1007/s11182-011-9650-z

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title = "Asymptotic expansion of the one-loop Ω-potential of quantum fields with a quadratic dispersion law",

abstract = "Nonextensive contributions of free quantum fields with quadratic dispersion law to the partition function are investigated. Nonextensive corrections are caused by finite sizes of the system. The general procedure of finding such corrections is developed. As an example, a model of the ideal gas of nonrelativistic fermions in a cube is considered. The equations of state are obtained for this system.",

keywords = "Lifshits-Kosevich effect, nonextensive oscillating corrections to the omega-potential",

author = "Kazinskii, {P. O.} and Shipulya, {M. A.}",

year = "2011",

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doi = "10.1007/s11182-011-9650-z",

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pages = "536--547",

journal = "Russian Physics Journal",

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AB - Nonextensive contributions of free quantum fields with quadratic dispersion law to the partition function are investigated. Nonextensive corrections are caused by finite sizes of the system. The general procedure of finding such corrections is developed. As an example, a model of the ideal gas of nonrelativistic fermions in a cube is considered. The equations of state are obtained for this system.

KW - Lifshits-Kosevich effect

KW - nonextensive oscillating corrections to the omega-potential

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