Results 1 to 10 of about 336 (142)
Mathematics, 2021 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 ...
Narciso Román-Roy
doaj +3 more sources
Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models. [PDF]
PLoS ONEThis study used second-order fractional derivatives to constrain singular Lagrangians to construct comprehensive Hamilton-Dirac equations. Notable contributions include resolving the difficulties associated with fractional derivatives.
Yazen M Alawaideh +2 more
doaj +2 more sources
Analysis of monetary policies in the condition of disequilibrium in Iran's economy - DSDE- dynamic stochastic disequilibrium model approach [PDF]
سیاستگذاری اقتصادی, 2023 Extended AbstractPurpose: Monetary policy rules that are used to implement monetary policies by central banks are determined in a strategic framework in order to do trade-offs between goals such as inflation, unemployment and economic growth.
Saeed Valinezhad +2 more
doaj +1 more source
GEOMETRIC HAMILTON–JACOBI THEORY [PDF]
International Journal of Geometric Methods in Modern Physics, 2006 The Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible bi-Hamiltonian structure. The problem is formulated on the tangent bundle for Lagrangian systems in order to avoid the bias of the existence of a natural symplectic structure on the cotangent bundle.
Cariñena, José F. +5 more
openaire +5 more sources
Discrete Hamilton–Jacobi Theory [PDF]
SIAM Journal on Control and Optimization, 2011 We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in time. We describe a discrete analogue of Jacobi's solution and also prove a discrete version of the geometric Hamilton-Jacobi theorem.
Tomoki Ohsawa +2 more
openaire +2 more sources
Quantum Hamilton-Jacobi Theory [PDF]
Physical Review Letters, 2007 Quantum canonical transformations have attracted interest since the beginning of quantum theory. Based on their classical analogues, one would expect them to provide a powerful quantum tool. However, the difficulty of solving a nonlinear operator partial differential equation such as the quantum Hamilton-Jacobi equation (QHJE) has hindered progress ...
Roncadelli, Marco, Schulman, L. S.
openaire +3 more sources
Hamilton–Jacobi theory for constrained systems [PDF]
Journal of Mathematical Physics, 1984 We extend the Hamilton–Jacobi formulation to constrained dynamical systems. The discussion covers both the case of first-class constraints alone and that of first- and second-class constraints combined. The Hamilton–Dirac equations are recovered as characteristic of the system of partial differential equations satisfied by the Hamilton–Jacobi function.
DOMINICI, DANIELE +3 more
openaire +4 more sources
Holographic entanglement entropy inequalities beyond strong subadditivity
Journal of High Energy Physics, 2022 The vacuum entanglement entropy in quantum field theory provides nonperturbative information about renormalization group flows. Most studies so far have focused on the universal terms, related to the Weyl anomaly in even space-time dimensions, and the ...
Lucas Daguerre +2 more
doaj +1 more source
European Physical Journal C: Particles and Fields, 2023 Unification of gravity with other interactions, achieving the ultimate framework of quantum gravity, and fundamental problems in particle physics and cosmology motivate to consider extra spatial dimensions.
Kourosh Nozari, Sara Saghafi
doaj +1 more source
On multi-field flows in gravity and holography
Journal of High Energy Physics, 2018 We perform a systematic analysis of flow-like solutions in theories of Einstein gravity coupled to multiple scalar fields, which arise as holographic RG flows as well as in the context of cosmological solutions driven by scalars.
Francesco Nitti +2 more
doaj +1 more source