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The Hamiltonian method
chapter 15 The Hamiltonian methodCopyright 2008 by David Morin, Version 2, October 2008)This chapter is to be read in conjunction withIntroduction to Classical Mechanics, With Problemsand Solutionsc 2007, by David Morin, Cambridge University text in this version is the same as in Version 1, but some new problems and exercises havebeen information on the book can be found at: present, we have at our disposal two basic ways of solving mechanics problems. InChapter 3 we discussed the familiar method involving Newton s laws, in particularthe second law,F=ma.
XV-2 CHAPTER 15. THE HAMILTONIAN METHOD ilarities between the Hamiltonian and the energy, and then in Section 15.2 we’ll rigorously deflne the Hamiltonian and derive Hamilton’s equations, which are the equations that take the place of Newton’s laws and the Euler-Lagrange equations.
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