simplified derivation of the hamilton–jacobi equation

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Simplified derivation of the Hamilton–Jacobi equation C. C. Yan Citation: American Journal of Physics 52, 555 (1984); doi: 10.1119/1.13619 View online: http://dx.doi.org/10.1119/1.13619 View Table of Contents: http://scitation.aip.org/content/aapt/journal/ajp/52/6?ver=pdfcov Published by the American Association of Physics Teachers Articles you may be interested in Hamilton–Jacobi equations for nonholonomic dynamics J. Math. Phys. 46, 032902 (2005); 10.1063/1.1858441 Linearization of the Hamilton–Jacobi equation J. Math. Phys. 27, 1754 (1986); 10.1063/1.527040 The Hamilton–Jacobi equation for Coulomb scattering Am. J. Phys. 53, 997 (1985); 10.1119/1.14019 Symmetries of the Hamilton–Jacobi equation J. Math. Phys. 18, 1032 (1977); 10.1063/1.523364 Hydrodynamic Analogy to the Hamilton-Jacobi Equation Am. J. Phys. 42, 1026 (1974); 10.1119/1.1987920 This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 128.114.34.22 On: Sat, 22 Nov 2014 12:24:18

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Page 1: Simplified derivation of the Hamilton–Jacobi equation

Simplified derivation of the Hamilton–Jacobi equationC. C. Yan Citation: American Journal of Physics 52, 555 (1984); doi: 10.1119/1.13619 View online: http://dx.doi.org/10.1119/1.13619 View Table of Contents: http://scitation.aip.org/content/aapt/journal/ajp/52/6?ver=pdfcov Published by the American Association of Physics Teachers Articles you may be interested in Hamilton–Jacobi equations for nonholonomic dynamics J. Math. Phys. 46, 032902 (2005); 10.1063/1.1858441 Linearization of the Hamilton–Jacobi equation J. Math. Phys. 27, 1754 (1986); 10.1063/1.527040 The Hamilton–Jacobi equation for Coulomb scattering Am. J. Phys. 53, 997 (1985); 10.1119/1.14019 Symmetries of the Hamilton–Jacobi equation J. Math. Phys. 18, 1032 (1977); 10.1063/1.523364 Hydrodynamic Analogy to the Hamilton-Jacobi Equation Am. J. Phys. 42, 1026 (1974); 10.1119/1.1987920

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

128.114.34.22 On: Sat, 22 Nov 2014 12:24:18

Page 2: Simplified derivation of the Hamilton–Jacobi equation

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

128.114.34.22 On: Sat, 22 Nov 2014 12:24:18

Page 3: Simplified derivation of the Hamilton–Jacobi equation

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

128.114.34.22 On: Sat, 22 Nov 2014 12:24:18