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Advances in High Energy Physics, 2016 Based on semiclassical tunneling method, we focus on charged fermions tunneling from higher-dimensional Reissner-Nordström black hole. We first simplify the Dirac equation by semiclassical approximation, and then a semiclassical Hamilton-Jacobi equation ...
ShuZheng Yang, Dan Wen, Kai Lin
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Optimal Trajectories Associated to a Solution of Contingent Hamilton-Jacobi Equation [PDF]
IEEE Conference on Decision and Control, 1987 In this paper we study the existence of optimal trajectories associated with a generalized solution to Hamilton-Jacobi-Bellman equation arising in optimal control. In general, we cannot expect such solutions to be differentiable.
Frankowska, H.
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Dynamic programming principle for backward doubly stochastic recursive optimal control problem and sobolev weak solution of the stochastic Hamilton-Jacobi-Bellman equation [PDF]
Fundamental ResearchIn this paper, we investigate a backward doubly stochastic recursive optimal control problem wherein the cost function is expressed as the solution to a backward doubly stochastic differential equation.
Yunhong Li +3 more
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Spinning black holes with a separable Hamilton–Jacobi equation from a modified Newman–Janis algorithm [PDF]
The European Physical Journal C, 2020 Obtaining solutions of the Einstein field equations describing spinning compact bodies is typically challenging. The Newman–Janis algorithm provides a procedure to obtain rotating spacetimes from a static, spherically symmetric, seed metric.
H. C. L. Junior +3 more
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The Parisi formula is a Hamilton–Jacobi equation in Wasserstein space
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2021 The Parisi formula is a self-contained description of the infinite-volume limit of the free energy of mean-field spin glass models. We showthat this quantity can be recast as the solution of a Hamilton–Jacobi equation in the Wasserstein space of ...
J. Mourrat
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Hamilton-Jacobi equation for spinning particles near black holes [PDF]
Physical Review D, 2019 A compact stellar-mass object inspiralling onto a massive black hole deviates from geodesic motion due to radiation-reaction forces as well as finite-size effects. Such post-geodesic deviations need to be included with sufficient precision into wave-form
V. Witzany
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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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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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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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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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