Equivalent and Inequivalent Formulations of Classical Mechanics
نویسندگان
چکیده
منابع مشابه
Equivalent and Inequivalent Formulations of Classical Mechanics∗
In this paper, I examine whether or not the Hamiltonian and Lagrangian formulations of classical mechanics are equivalent theories. I do so by applying a standard for equivalence that was recently introduced into philosophy of science by Halvorson (2012, 2016) and Weatherall (2016a). This case study yields three general philosophical payoffs. The first is a specific plea for clarity in our disc...
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Classical Mechanics
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: The British Journal for the Philosophy of Science
سال: 2019
ISSN: 0007-0882,1464-3537
DOI: 10.1093/bjps/axy017