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 | |
| Publication status | Published - Oct 2011 |
| Externally published | Yes |
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Keywords
- Lifshits-Kosevich effect
- nonextensive oscillating corrections to the omega-potential
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Asymptotic expansion of the one-loop Ω-potential of quantum fields with a quadratic dispersion law. / Kazinskii, P. O.; Shipulya, M. A.
In: Russian Physics Journal, Vol. 54, No. 5, 10.2011, p. 536-547.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Asymptotic expansion of the one-loop Ω-potential of quantum fields with a quadratic dispersion law
AU - Kazinskii, P. O.
AU - Shipulya, M. A.
PY - 2011/10
Y1 - 2011/10
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=80255140353&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80255140353&partnerID=8YFLogxK
U2 - 10.1007/s11182-011-9650-z
DO - 10.1007/s11182-011-9650-z
M3 - Article
AN - SCOPUS:80255140353
VL - 54
SP - 536
EP - 547
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 5
ER -