On a quantum Boltzmann equation for a gas of photons.

被引：39

作者：

Escobedo, M

Mischler, S

机构：

[1] Univ Basque Country, Dept Matemat, E-48080 Bilbao, Spain

[2] Univ Versailles, CNRS, UMR 7641, Lab Math Appl, F-78035 Versailles, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2001年 / 80卷 / 05期

关键词：

Boltzmann equation; quantum particles; Bose-Einstein condensation phenomena; long time; behavior; Kompaneets equation;

D O I：

10.1016/S0021-7824(00)01201-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of the solution of a homogeneous quantum Boltzmann equation describing the photon-electron interaction. We study the asymptotic behaviour of the solutions, and show in particular, that the photon density distribution condensates at the origin asymptotically in time when the total number of photons is larger than a given positive constant. We also recover the Kompaneets equation as a Fokker-Planck type limit of this Boltzmann model. (C) 2001 Editions scientifiques et medicales Elsevier SAS.

引用

页码：471 / 515

页数：45

共 50 条

[1] Quantum Boltzmann equation for photons
Mahan, GD
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (09) : 4333 - 4351
[2] The conservation of photons.
Lewis, GN
[J]. NATURE, 1926, 118 : 874 - 875
[3] GENERALIZED BOLTZMANN EQUATION OF A QUANTUM GAS
FUJITA, S
[J]. PHYSICA, 1961, 27 (10): : 940 - &
[4] GENERALIZED BOLTZMANN EQUATION FOR A QUANTUM GAS
FUJITA, S
[J]. PHYSICS LETTERS, 1964, 12 (04): : 300 - 301
[5] THE BOLTZMANN-LANGEVIN EQUATION FOR PHOTONS
SHIBATA, F
HAMANO, Y
HASHITSUME, N
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (07) : 2166 - 2174
[6] Uncertainty relations and volume of photons.
Meksyn, D
[J]. PHILOSOPHICAL MAGAZINE, 1933, 15 (99): : 592 - 601
[7] ON GENERALIZED BOLTZMANN EQUATION OF A QUANTUM GAS .2.
FUJITA, S
[J]. PHYSICA, 1963, 29 (10): : 1087 - &
[8] A continuous-variable quantum key distribution using correlated photons.
Donkor, Eric
Erdmann, Reinhard
Kumavor, Patrick D.
[J]. QUANTUM INFORMATION AND COMPUTATION XIII, 2015, 9500
[9] Photon correlation of correlated photons. Experimental aspects of quantum cryptography and computation
Rarity, JG
Tapster, PR
[J]. LIGHT SCATTERING AND PHOTON CORRELATION SPECTROSCOPY, 1997, 40 : 247 - 262
[10] On the quantum Boltzmann equation
Pulvirenti, M
[J]. Rarefied Gas Dynamics, 2005, 762 : 47 - 47

← 1 2 3 4 5 →