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The Principle of Covariance and the Hamiltonian Formulation of General Relativity [PDF]
Entropy, 2021 The implications of the general covariance principle for the establishment of a Hamiltonian variational formulation of classical General Relativity are addressed.
Massimo Tessarotto, Claudio Cremaschini
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The Hamiltonian formulation of general relativity: myths and reality
Open Physics, 2011 Kiriushcheva Natalia, Kuzmin Sergei
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A Lie connection between Hamiltonian and Lagrangian optics [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 It is shown that there is a non-Hamiltonian vector field that provides a Lie algebraic connection between Hamiltonian and Lagrangian optics. With the aid of this connection, geometrical optics can be formulated in such a way that all aberrations are ...
Alex J. Dragt
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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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An Overview on Irreversible Port-Hamiltonian Systems
Entropy, 2022 A comprehensive overview of the irreversible port-Hamiltonian system’s formulation for finite and infinite dimensional systems defined on 1D spatial domains is provided in a unified manner.
Hector Ramirez, Yann Le Gorrec
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Spatial-Dependent Hamiltonian Formulation of Cross-Mode Modulation
IEEE Photonics Journal, 2020 In the absence of random mode mixing (RMM), linearization of the cross-mode modulation (XMM) under pump-probe configuration is in general complicated because the evolution of the pump light depends on the local mode decomposition of itself. In this work,
Haofan Yang +5 more
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Introduction to Hamiltonian formulation of general relativity and homogeneous cosmologies
SciPost Physics Lecture Notes, 2023 We give a pedagogical introduction to the Hamiltonian formalism of general relativity at an advanced undergraduate and graduate levels. After covering the mathematical pre-requisites as well as the 3+1-decomposition of spacetime, we proceed to discuss ...
Rishabh Jha
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An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
Nuclear Physics B, 2016 Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais–Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below.
Ivan Masterov
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Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies
Mathematics, 2023 Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation.
Shou-Ting Chen, Wen-Xiu Ma
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Hamiltonian integrability of the webs of integrable theories
Nuclear Physics B, 2021 We present the Hamiltonian formulation of the recently constructed integrable theories of [49]. These theories turn out to be canonically equivalent to the sum of an asymmetrically gauged CFT and of the most general λ-deformed model of [21].
George Georgiou
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