Stochastic Mechanics of Particles and Fields

Abstract

The configuration space of a physical system is a differentiable manifold M. The state of a system is given by a point x in M and a tangent vector v at x, the velocity of the configuration. Call the tangent bundle T M of M the state space of the system (though the phrase " velocity phase space " is often used). A dynamical variable is a possibly time… (More)
DOI: 10.1007/978-3-642-54943-4_1

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