Not-so-classical mechanics: unexpected symmetries of classical motion
نویسندگان
چکیده
منابع مشابه
N ov 2 00 5 Not So Classical Mechanics – Unexpected Symmetries of Classical Motion
A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical systems, including accessible discussions of regularization of the central force problem; inequivalent Lagrangians and Hamiltonians; constants of central force motion; a general discussion of higher-order Lagrangians and Hamiltonians with examples from Bohmian quantum mechanics, the Korteweg-de Vries equation and the ...
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here xi = (xi1, . . . , xid) are coordinates of the i-th particle and ∂xi is the gradient (∂xi1 , . . . , ∂xid); d is the space dimension (i.e. d = 3, usually). The potential energy function will be supposed “smooth”, i.e. analytic except, possibly, when two positions coincide. The latter exception is necessary to include the important cases of gravitational attraction or, when dealing with ele...
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ژورنال
عنوان ژورنال: Canadian Journal of Physics
سال: 2005
ISSN: 0008-4204,1208-6045
DOI: 10.1139/p05-003