منابع مشابه
Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry
For a general mechanical system, it is shown that each solution of the Hamilton-Jacobi equation defines an N = 2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton’s principal function is the ‘BPS’ condition for preservation of 1/2 pseudo-supersymmetry. The examples of the relativistic and nonrelativistic particle, in a general potential, are ...
متن کاملQuantum Hamilton-Jacobi equation
The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing Hamiltonian. A formal perturbative solution of th...
متن کاملDiscrete Hamilton-Jacobi Theory
We develop a discrete analogue of the Hamilton–Jacobi theory in the framework of the discrete Hamiltonian mechanics. We first reinterpret the discrete Hamilton–Jacobi equation derived by Elnatanov and Schiff in the language of discrete mechanics. The resulting discrete Hamilton– Jacobi equation is discrete only in time, and is shown to recover the Hamilton–Jacobi equation in the continuous-time...
متن کاملThe Hamilton-Jacobi Skeleton
The eikonal equation and variants of it are of significant interest for problems in computer vision and image processing. It is the basis for continuous versions of mathematical morphology, stereo, shape-from-shading and for recent dynamic theories of shape. Its numerical simulation can be delicate, owing to the formation of singularities in the evolving front, and is typically based on level s...
متن کاملThe Hamilton-Jacobi Skeleton
The eikonal equation and variants of it are of signii-cant interest for problems in computer vision and image processing. It is the basis for continuous versions of mathematical morphology, stereo, shape-from-shading and for recent dynamic theories of shape. Its numerical simulation can be delicate, owing to the formation of singularities in the evolving front, and is typically based on level s...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2012
ISSN: 1029-8479
DOI: 10.1007/jhep05(2012)078