Abstract
The appearance of nonlinear field equations in the description of collective phenomena is discussed using very simple models as examples.
Lectures presented at NATO Advanced Study Institute on Nonlinear Equations in Physics and Mathematics, Istanbul, August 1977.
Work supported in part by Deutsche Forschungsgemeinschaft under Grant K1 256.
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References
R. K. Bullough, these Proceedings. Also see R. K. Bullough in Interaction of Radiation with Condensed Matter, Vol. 1, International Atomic Energy Agency, Vienna 1977.
See M. D. Kruskal’s lecture notes.
For a thorough discussion, see H. Kleinert, Erice School on Low-Temperature Physics, Fortschr. Phys. 6 (1978).
H. Kleinert, Lectures presented at the 1976 Erice Summer School.
S. Coleman, Phys. Rev. D11, 2088 (1975); S. Mandelstam, Phys. Rev. D11, 3026 (1975).
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For a review see: D. R. Bes and R. A. Broglia, Lectures delivered at “E. Fermi” Varenna Summer School, Varenna, Como, Italy, 1976. For recent studies see: D. R. Bes, R. A. Broglia, R. Liotta, B. R. Mottelson, Phys. Letters 52B, 253 (1974); 56B, 109 (1975); Nucl. Phys. BA260, 127 (1976). See also: R. W. Richardson, Journ. Math. Phys. 9, 1329 (1968); Ann. Phys. 65, 249 (1971) and N.Y.U. Preprint 1977 as well as references therein.
H. Kleinert, Phys. Letters B, June issue 1977.
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See, e.g., H. Morgenau and G. M. Murphy, The Mathematics of Physics and Chemistry, Van Norstrand, New York, 1964, p. 368.
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© 1978 D. Reidel Publishing Company, Dordrecht, Holland
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Kleinert, H. (1978). Nonlinear Field Equations and Collective Phenomena. In: Barut, A.O. (eds) Nonlinear Equations in Physics and Mathematics. NATO Advanced Study Institutes Series, vol 40. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9891-9_16
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DOI: https://doi.org/10.1007/978-94-009-9891-9_16
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