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The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons.
M. Frechet. Sur quelques points du calcul fonctionnel. Rend.Circ. Mat. Palermo, V. 22, 1, 1-72, (1906)
1906
Earlier work this paper cites.
L. W. Nordheim. On the kinetic method in the new statistics and its application in the electron theory of conductivity. Proc. R. Soc. Lond. A, 119, 689-698, (1928)
1928
Earlier work this paper cites.
S. Kikuchi and L. W. Nordheim. Über die kinetische fundamentalgleischung in der quantenstatistik. Zeitschrift für Physik A, Hadrons and Nuclei, 60, 652-662, (1930)
1930
Earlier work this paper cites.
T. Carleman. Sur la théorie de l’équation intégro-differentielle de Boltzmann. Acta Math. 60, 91-146, (1933)
1933
Earlier work this paper cites.
T. Carleman. Problèmes mathématiques dans la théorie cinétique des gazs. Publ. Sci. Inst. Mittag-Leffler, 2, Almqvist&Wiksells Boktryckeri Ab, Uppsala, 1957
1957
Earlier work this paper cites.
K. Huang and C. N. Yang. Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction. Phys. Rev. 105, 3, 767-765, (1957)
1957
Earlier work this paper cites.
N. Dunford and J. T. Schwartz. Linear Operators, Part I. General Theory. John Wiley & Sons, Inc. 1963
1963
Earlier work this paper cites.
K. Huang. Statistical Mechanics. John Wiley & Sons, Inc. 1963
1963
Earlier work this paper cites.
A. J. Povzner. The Boltzmann equation in the kinetic theory of gases. Amer. Math. Soc. Transl. 47, 2, 193-214, (1965)
1965
Earlier work this paper cites.
E. Levich and V. Yakhot. Kinetics of phase transition in ideal and weakly interacting Bose gas, J. Low Temp. Phys. 27, 107-124, (1977)
1977
Earlier work this paper cites.
E. Levich and V. Yakhot. Time development of coherent and superfluid properties in the course of a λ − \lambda- transition. J. Phys. A: Mathematical and General, 11, 2237-2254, (1978)
1978
Earlier work this paper cites.
U. Eckern. Relaxation processes in a condensed bose gas. J. Low Temp. Phys. 54, 333-359, (1984)
1984
Cited alongside, same era.
B. V. Svistunov. Highly nonequilibrium Bose condensation in a weakly interacting gas. J. Moscow Phys. Soc, 373-390, (1991)
1991
Cited alongside, same era.
H. T. C. Stoof. Condensate formation in a Bose gas, in Bose Einstein Condensation, A. Griffin, D. W. Snoke and S. Stringari eds. Cambridge University Press 1994
1994
Cited alongside, same era.
D.V. Semikov and I.I. Tkachev. Kinetics of Bose condensation. Phys. Rev. Lett. 74, 3093-3097, (1995)
1995
Cited alongside, same era.
D.V. Semikov and I.I. Tkachev. Condensation of Bosons in the kinetic regime. Phys. Rev. D, 55, 2, 489-502, (1997)
1997
Cited alongside, same era.
C. Villani. A review of mathematical topics in collisional kinetic theory. Handbook of Mathematical Fluid Dynamics (vol. 1). S. Friedlander and D. Serre, eds. Elsevier Science, 2002
2002
Later among the works it cites.
R. Baier and T. Stockamp. Kinetic equations for Bose-Einstein condensates from the 2 P I 2PI effective action. arxiv.org/abs/hep-ph/0412310, (2004)
2004
Later among the works it cites.
X. Lu. On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles. J. Stat. Phys., 116, 1597-1649, (2004)
2004
Later among the works it cites.
X. Lu. The Boltzmann equation for Bose-Einstein particles: velocity concentration and convergence to equilibrium. J. Stat. Phys., 119, 1027-1067, (2005)
2005
Later among the works it cites.
C. Josserand, Y. Pomeau and S. Rica. Self-similar singularities in the kinetics of condensation. J. Low Temp. Phys. 145, 231-265, (2006)
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C. W. Gardiner, M. D. Lee, R. J. Ballagh, M. J. Davis, and P. Zoller. Quantum kinetic theory of condensate growth: Comparison of experiment and theory. Phys. Rev. Lett. 81, 5266-5269, (1998)
1998
Cited alongside, same era.
N. P. Proukakis, K. Burnett, and H. T. C. Stoof. Microscopic treatment of binary interactions in the nonequilibrium dynamics of partially Bose condensed trapped gases, Phys. Rev. A, 57, 1230-1247, (1998)
1998
Cited alongside, same era.
M. Imamovič-Tomasovič and A. Griffin. Coupled Hartree-Fock-Bogoliubov kinetic equations for a trapped bose gas. Phys. Rev. A, 60, 494-503, (1999)
1999
Cited alongside, same era.
S. Mischler and B. Wennberg. On the spatially homogeneous Boltzmann equation. Ann. Inst. H. Poincaré, Anal. Non Linéare, 16, 467-501, (1999)
1999
Cited alongside, same era.
E. Zaremba, T. Nikuni and A. Griffin. Dynamics of trapped bose gases at finite temperatures. J. Low Temp. Phys. 116, 277-345, (1999)
1999
Cited alongside, same era.
R. Lacaze, P. Lallemand, Y. Pomeau and S. Rica. Dynamical formation of a Bose-Einstein condensate. Physica D, 152-153, 779–786, (2001)
2001
Cited alongside, same era.
2006
Later among the works it cites.
M. Pulvirenti. The weak-coupling limit of large classical and quantum systems. International Congress of Mathematicians. Vol. III, 229-256, (2006)
2006
Later among the works it cites.
M. Escobedo, S. Mischler and J. J. L. Velázquez. On the fundamental solution of a linearized Uehling Uhlenbeck equation. Arch. Rat. Mech. Analysis, 186, 2, 309-349, (2007)
2007
Later among the works it cites.
M. Escobedo, S. Mischler and J. J. L. Velázquez. Singular solutions for the Uehling Uhlenbeck equation. Proc. Royal Soc. Edinburgh. 138A, 67-107, (2008)
2008
Later among the works it cites.
H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer Verlag, 2010
2010
Later among the works it cites.
H. Spohn. Kinetics of the Bose-Einstein condensation, Physica D: Nonlinear Phenomena. 239, 627-634, (2010)
2010
Later among the works it cites.
X. Lu. The Boltzmann equation for Bose-Einstein particles: Condensation in finite time. J. Stat. Phys., 150, 1138Ð1176, (2013)
2013
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