Extending the Parisi formula along a Hamilton-Jacobi equation [PDF]
Electronic Journal of Probability, 2019 We study the free energy of mixed $p$-spin spin glass models enriched with an additional magnetic field given by the canonical Gaussian field associated with a Ruelle probability cascade.
J. Mourrat, D. Panchenko
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Evaluation of the Feynman Propagator by Means of the Quantum Hamilton-Jacobi Equation
Quanta, 2023 It is shown that the complex phase of the Feynman propagator is a solution of the quantum Hamilton–Jacobi equation, namely, it is the quantum Hamilton's principal function (or quantum action).
Mario Fusco Girard
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Separability in consistent truncations
Journal of High Energy Physics, 2021 The separability of the Hamilton-Jacobi equation has a well-known connection to the existence of Killing vectors and rank-two Killing tensors. This paper combines this connection with the detailed knowledge of the compactification metrics of consistent ...
Krzysztof Pilch +2 more
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Symmetries of the Hamilton-Jacobi equation [PDF]
Компьютерные исследования и моделирование, 2012 The notion of symmetry transformations of the Hamilton-Jacobi equation. For the group of symmetries is shown how to be associated with the Hamiltonian function coefficients of the infinitesimal operator of the group.
Gennadii Nikolaevich Yakovenko
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Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow [PDF]
, 2017 We consider light propagation in a nonmagnetized pressureless plasma around a Kerr black hole. We find the necessary and sufficient condition the plasma electron density has to satisfy to guarantee that the Hamilton-Jacobi equation for the light rays is ...
V. Perlick, O. Tsupko
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The Hamilton–Jacobi Theory for Contact Hamiltonian Systems
Mathematics, 2021 The aim of this paper is to develop a Hamilton–Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton–Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function ...
Manuel de León +2 more
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Existence of solutions to contact mean-field games of first order
Advanced Nonlinear Studies, 2022 This paper deals with the existence of solutions of a class of contact mean-field game systems of first order consisting of a contact Hamilton-Jacobi equation and a continuity equation.
Hu Xiaotian, Wang Kaizhi
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Hamilton-Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0)
Symmetry, 2020 All electromagnetic potentials and space–time metrics of Stäckel spaces of type (2.0) in which the Hamilton–Jacobi equation for a charged test particle can be integrated by the method of complete separation of variables are found. Complete sets of motion
V. Obukhov
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On the Relation Between the Canonical Hamilton–Jacobi Equation and the De Donder–Weyl Hamilton–Jacobi Formulation in General Relativity [PDF]
, 2019 We discuss the relation between the canonical Hamilton-Jacobi theory and the De Donder-Weyl Hamilton-Jacobi theory known in the calculus of variations using the examples of a scalar field in curved space-time and general relativity.
N. Riahi, M. Pietrzyk
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Convergence of the solutions of the discounted Hamilton–Jacobi equation [PDF]
Inventiones Mathematicae, 2014 We consider a continuous coercive Hamiltonian H on the cotangent bundle of the compact connected manifold M which is convex in the momentum. If uλ:M→R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
A. Davini +3 more
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