The Hamilton–Jacobi Theory for Contact Hamiltonian Systems by Manuel de León, Manuel Lainz, Álvaro Muñiz-Brea

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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures by Sergio Grillo, Juan Carlos Marrero, Edith Padrón

Subjects: “…Hamilton–Jacobi Theory…”
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High thrust optimization through Hamilton-Jacobi theory. by Mitchell, Alan Robert

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The Hamilton-Jacobi theory in the calculus of variations : its role in mathematics and physics by 328967 Rund, Hanno

An Overview of the Hamilton–Jacobi Theory: the Classical and Geometrical Approaches and Some Extensions and Applications by Narciso Román-Roy

“…This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations is also analyzed. …”
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Hamilton–Jacobi Wave Theory in Manifestly-Covariant Classical and Quantum Gravity by Claudio Cremaschini, Massimo Tessarotto

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The Wave-Front Equation of Gravitational Signals in Classical General Relativity by Claudio Cremaschini, Massimo Tessarotto

Subjects: “…general relativity hamilton–jacobi theory…”
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Quantization of Hamiltonian and non-Hamiltonian systems by Sergey A. Rashkovskiy

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Classical Mechanics / by Panat, P. V., author 541519

“…Intricate topics such as the transformation theory, Poisson brackets and Hamilton Jacobi theory are dealt in considerable detail. Their intimate connections with the discoveries in Quantum mechanics are emphasized, enabling the student to have a deeper understanding of Quantum mechanics.…”

Hamiltonian approach to GR – Part 1: covariant theory of classical gravity by Claudio Cremaschini, Massimo Tessarotto

“…As a result, the corresponding Hamilton–Jacobi theory is established in manifestly covariant form. …”
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Foundations of Mechanics / by Abraham, Ralph, author 321760, Marsden, Jerrold E., author 278526, Ratiu, Tudor S., joint author 642813, Cushman, Richard, joint author 642814

Action-angle variables for the Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by Xue Geng, Dianlou Du, Xianguo Geng

“…Finally, in light of the Hamilton–Jacobi theory, the action-angle variables for these systems are constructed, and the Jacobi inversion problem associated with the Hirota–Satsuma modified Boussinesq equation is obtained.…”
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Geodesic and Newtonian Vector Fields and Symmetries of Mechanical Systems by José F. Cariñena, Miguel-C. Muñoz-Lecanda

“…Geodesic vector fields and other distinguished vector fields on a Riemann manifold were used in the study of free motions on such a manifold, and we applied the geometric Hamilton–Jacobi theory for the search of geodesic vector fields from Hamilton–Jacobi vector fields and the same for closed vector fields. …”
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Time-Dependent Hamiltonian Mechanics on a Locally Conformal Symplectic Manifold by Marcin Zając, Cristina Sardón, Orlando Ragnisco

“…We present a generalized geometric theory of canonical transformations in order to formulate an explicitly time-dependent geometric Hamilton-Jacobi theory on lcs manifolds, extending our previous work with no explicit time-dependence. …”
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Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity by Claudio Cremaschini, Massimo Tessarotto

“…The treatment is founded on the recently identified Hamiltonian structure associated with the classical space-time, i.e., the corresponding manifestly covariant Hamilton equations and the related Hamilton–Jacobi theory. The quantum Hamiltonian operator and the CQG-wave equation for the corresponding CQG-state and wave function are realized in 4-scalar form. …”
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The geometrical origin of dark energy by Alon E. Faraggi, Marco Matone

“…Abstract The geometrical formulation of the quantum Hamilton–Jacobi theory shows that the quantum potential is never trivial, so that it plays the rôle of intrinsic energy. …”
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On multi-field flows in gravity and holography by Francesco Nitti, Leandro Silva Pimenta, Danièle A. Steer

“…We place the first order formalism in the context of Hamilton-Jacobi theory, where we discuss the possibility of non-gradient flows and their connection to non-separable solutions of the Hamilton-Jacobi equation. …”
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Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits by Sandro da Fernandes, Francisco das Chagas Carvalho

“…Closed-form analytical solution is then obtained through Hamilton-Jacobi theory. For long duration maneuvers, the existence of conjugate points is investigated through the Jacobi condition. …”
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Energy-time optimal path planning in strong dynamic flows by Doshi, Manan(Manan Mukesh)

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On Gaussian Beams Described by Jacobi's Equation by Smith, Steven T.

“…This paper describes four new results in the theory of Gaussian beams. (1) A new version of the Červený equations for the amplitude and phase of Gaussian beams is developed by applying the equivalence of Hamilton--Jacobi theory with Jacobi's equation that connects Riemannian curvature to geodesic flow. …”
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