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Panofsky, W.K.1
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J.D. Lawson, RL-83-082, Invited talk given at Int. Europhysics Conf. on High Energy Physics, Brighton, England, Jul 20-27, 1983
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Int. Europhysics Conf. on High Energy Physics, Brighton, England, Jul 20-27, 1983
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For informal discussion of the string theory see, E. Witten, hep-th/0212247.
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B. Badelek et al., hep-ex/0108012.
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A. Krzywicki, hep-ph/9405244.
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7th Les Rencontres de Physique de la Vallee d'Aoste: Results and Perspectives in Particle Physics, La Thuile, Italy, 7-13 Mar 1993
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Some examples of such patterns can be found here: http://www.cmp.caltech.edu/lifshitz/patterns.html For comprehensive review of pattern formation see M. C. Cross, P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
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Excellent informal introduction is given by M.M. Nieto, LA-UR-84-2773.
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Nieto, M.M.1
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Ermakov's method, which dates back to 1880, is reviewed in P.B. Espinoza, math-ph/0002005.
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Espinoza, P.B.1
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note; FERMILAB-FN-0349
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The Courant-Snyder invariant, used to study betatron oscillations in accelerators and storage rings is of the same type. See, for example, K. Takayama, FERMILAB-FN-0349 (http://fnalpubs.fnal.gov/archive/fn/FN-0349.pdf).
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Takayama, K.1
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0003692294
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McGraw-Hill
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A simple proof can be found, for example, in the book J.D. Bjorken, S.D. Drell, Relativistic quantum fields, McGraw-Hill, 1965, §123.
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Relativistic Quantum Fields
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M.M. Nieto, quant-ph/9708012.
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V.I. Man'ko, quant-ph/9509018.
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A.L. Angelis et al., hep-ex/9901038.
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