Abstract:
We consider mathematical aspects of ideal Bose and Fermi gases on a crystal lattice and give a simple model of superfluidity and superconductivity for nonideal Bose and Fermi gases.
Citation:
V. P. Maslov, “Mathematical Aspects of Weakly Nonideal Bose and Fermi Gases on a Crystal Base”, Funktsional. Anal. i Prilozhen., 37:2 (2003), 16–27; Funct. Anal. Appl., 37:2 (2003), 94–102
\Bibitem{Mas03}
\by V.~P.~Maslov
\paper Mathematical Aspects of Weakly Nonideal Bose and Fermi Gases on a Crystal Base
\jour Funktsional. Anal. i Prilozhen.
\yr 2003
\vol 37
\issue 2
\pages 16--27
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\crossref{https://doi.org/10.4213/faa145}
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\transl
\jour Funct. Anal. Appl.
\yr 2003
\vol 37
\issue 2
\pages 94--102
\crossref{https://doi.org/10.1023/A:1024452806112}
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Linking options:
https://www.mathnet.ru/eng/faa145
https://doi.org/10.4213/faa145
https://www.mathnet.ru/eng/faa/v37/i2/p16
This publication is cited in the following 30 articles:
Victor E. Panin, Valerii E. Egorushkin, Tamara F. Elsukova, Natalya S. Surikova, Yurii I. Pochivalov, Alexey V. Panin, Handbook of Mechanics of Materials, 2019, 1255
Maslov V.P., “On Mathematical Investigations Related to the Chernobyl Disaster”, Russ. J. Math. Phys., 25:3 (2018), 309–318
Maslov V.P., “Numeration as a Factor Relating the Quantum and Classical Mechanics of Ideal Gases”, Russ. J. Math. Phys., 25:4 (2018), 525–530
Chetverikov V.M., “The Spatial Distribution of Magnetization in a Ferromagnetic Semiconductor Thin Film”, Mosc. Univ. Phys. Bull., 73:6 (2018), 592–598
V. P. Maslov, “Rotation of a Neutron in the Coat of Helium-5
as a Classical Particle for a Relatively Large Value
of the Hidden Parameter
tmeas”, Math. Notes, 103:1 (2018), 67–74
Victor E. Panin, Valerii E. Egorushkin, Tamara F. Elsukova, Natalya S. Surikova, Yurii I. Pochivalov, Alexey V. Panin, Handbook of Mechanics of Materials, 2018, 1
V. P. Maslov, “New Insight into the Partition Theory of Integers
Related to Problems of Thermodynamics
and Mesoscopic Physics”, Math. Notes, 102:2 (2017), 232–249
V. P. Maslov, “New Approach to Classical Thermodynamics”, Math. Notes, 100:1 (2016), 154–185
V. P. Maslov, “Modern Thermodynamics as a Branch of Mathematics (Mathematical Physics)”, Math. Notes, 100:3 (2016), 413–420
V. P. Maslov, “On New Ideal (Noninteracting) Gases in Supercritical Thermodynamics”, Math. Notes, 97:1 (2015), 85–99
V. P. Maslov, “Bose–Einstein-Type Distribution for Nonideal Gas. Two-Liquid Model of Supercritical States and Its Applications”, Math. Notes, 94:2 (2013), 231–237
V. P. Maslov, “Undistinguishing statistics of objectively distinguishable objects: Thermodynamics and superfluidity of classical gas”, Math Notes, 94:5-6 (2013), 722
V. P. Maslov, “Taking parastatistical corrections to the Bose–Einstein distribution into account in the quantum and classical cases”, Theoret. and Math. Phys., 172:3 (2012), 1289–1299
Maslov V.P., “Bose Condensate in the D-Dimensional Case, in Particular, for D=2”, Russ. J. Math. Phys., 19:3 (2012), 317–323
Maslov V.P., “A Bose Condensate in the D-Dimensional Case, in Particular, for D=2 and 1”, Dokl. Math., 86:2 (2012), 700–703
V. P. Maslov, T. V. Maslova, “Unbounded probability theory and its applications”, Theory Probab. Appl., 57:3 (2013), 444–467
Maslov V.P., “On the superfluidity of classical liquid in nanotubes. I. Case of even number of neutrons”, Russ. J. Math. Phys., 14:3 (2007), 304–318
V. P. Maslov, “Zeroth-Order Phase Transitions”, Math. Notes, 76:5 (2004), 697–710
V. P. Maslov, “An Exactly Solvable Superfluidity Model and the Phase Transition of the Zeroth Kind (Fountain Effect)”, Theoret. and Math. Phys., 141:3 (2004), 1686–1697
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