| 000 | 02955nlm1a2200385 4500 | ||
|---|---|---|---|
| 001 | 667556 | ||
| 005 | 20231030042116.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\38761 | ||
| 090 | _a667556 | ||
| 100 | _a20220401a2011 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aNL | ||
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aOne-loop omega-potential of quantum fields with ellipsoid constant-energy surface dispersion law _fP. O. Kazinski, M. A. Shipulya |
|
| 203 |
_aText _celectronic |
||
| 300 | _aTitle screen | ||
| 320 | _a[References: 68 tit.] | ||
| 330 | _aRapidly convergent expansions of a one-loop contribution to the partition function of quantum fields with ellipsoid constant-energy surface dispersion law are derived. The omega-potential is naturally decomposed into three parts: the quasiclassical contribution, the contribution from the branch cut of the dispersion law, and the oscillating part. The low- and high-temperature expansions of the quasiclassical part are obtained. An explicit expression and a relation of the contribution from the cut with the Casimir term and vacuum energy are established. The oscillating part is represented in the form of the Chowla–Selberg expansion of the Epstein zeta function. Various resummations of this expansion are considered. The general procedure developed is then applied to two models: massless particles in a box both at zero and nonzero chemical potential, and electrons in a thin metal film. Rapidly convergent expansions of the partition function and average particle number are obtained for these models. In particular, the oscillations of the chemical potential of conduction electrons in graphene and a thin metal film due to a variation of size of the crystal are described. | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 | _tAnnals of Physics | ||
| 463 |
_tVol. 326, iss. 10 _v[P. 2658-2693] _d2011 |
||
| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _ahigh-temperature expansion | |
| 610 | 1 | _aChowla–Selberg expansion | |
| 610 | 1 | _achemical potential oscillations | |
| 610 | 1 | _aCasimir effect | |
| 700 | 1 |
_aKazinski _bP. O. |
|
| 701 | 1 |
_aShipulya _bM. A. _cphysicist _cAssociate Professor of Tomsk Polytechnic University, Candidate of Physical and Mathematical Sciences _f1986- _gMikhail Alekseevich _2stltpush _3(RuTPU)RU\TPU\pers\47159 |
|
| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет (ТПУ) _bФизико-технический институт (ФТИ) _bКафедра высшей математики и математической физики (ВММФ) _h139 _2stltpush _3(RuTPU)RU\TPU\col\18727 |
| 801 | 2 |
_aRU _b63413507 _c20220401 _gRCR |
|
| 856 | 4 | _uhttps://doi.org/10.1016/j.aop.2011.07.004 | |
| 942 | _cCF | ||