On the van-der-Waals forces

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• 作者：V. P. Maslov
• 关键词：van ; der ; Waals force ; Lennard ; Jones potential ; classical scattering problem ; impact parameter ; critical temperature
• 刊名：Mathematical Notes
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：99
• 期：1-2
• 页码：284-289
• 全文大小：629 KB
• 参考文献：1.V. P. Maslov, “Two-fluid picture of supercritical phenomena,” Teoret. Mat. Fiz. 180 (3), 394–432 (2014) [Theoret. and Math. Phys. 180 (3), 1095–1128 (2014)].MathSciNet CrossRef MATH
  2.V. P. Maslov, “Thermodynamics of fluids: The law of redestribution of energy, two-dimensional condensate, and T-mapping,” Teoret. Mat. Fiz. 161 (3), 422–456 (2009).CrossRef
  3.V. P. Maslov, Perturbation Theory and AsymptoticMethods (Izd.Moskovsk. Univ., Moscow, 1965).
  4.J. Moser, “Regularization Kepler’s problem and the averaging method on a manifold,” Comm. Pure Appl. Math., 23, 609–636 (1970).MathSciNet CrossRef MATH
  5.A. P. Veselov, “The things J.Moser taught me,” Nonlinear Dynamics 5 (1), 39–51 (2009).MathSciNet
  6.A. P. Veselov, “Integrable mappings,” Uspekhi Mat. Nauk 46 (5), 3–45 (1991) [Russian Math. Surveys 46 (5), 1–51 (1991)].MathSciNet MATH
  7.V. V. Kozlov “Topological obstructions to the integrability of natural mechanical systems,” Dokl. Akad. Nauk SSSR 249 (6), 1299–1302 (1979) [SovietMath. Dokl. 20 (6), 1413 - 1415 (1980)].MathSciNet MATH
  8.A. V. Bolsinov, I. A. Taimanov, “Integrable geodesic flows with positive topological entropy,” Invent. Math. 140 (3), 639–650 (2000).MathSciNet CrossRef MATH
  9.H. B. Casimir, “On the attraction between two perfectly conducting plates,” Proc. K. Ned. Akad. Wet. 51 793–795 (1948).MATH
  
• 作者单位：V. P. Maslov (1) (2)
  
  1. National Research University Higher School of Economics, Moscow, Russia
  2. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8876

文摘

It is shown that, for the Lennard-Jones potential, there exist far-range van-der-Waals forces. It is claimed that such potentials occur rarely, just as potentials for the Schrödinger equation whose semiclassical solutions coincide with exact solutions.