On extremal paths for stochastic processes that involve step potentials and the generalized Hamilton-Jacobi equation

Emilio Cortés

Physica A: Statistical Mechanics and its Applications, 1992, vol. 182, issue 1, 228-239

Abstract: From the behavior of extremal paths across a boundary, defined by a finite step potential, we obtain by means of a least action principle, a first integral of the Euler-Lagrange equation (a conservation principle). This first integral gives the geometrical properties which are refraction and reflexion laws for extremal paths across the boundary and also it leads to a generalized Hamilton-Jacobi equation for the extremal action.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:182:y:1992:i:1:p:228-239

DOI: 10.1016/0378-4371(92)90240-Q

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