Conserved quantities from entanglement Hamiltonian

Relative equilibria and conserved quantities in symmetric Hamiltonian systems

Conserved Quantities from the Equations of Motion

We present an alternative field theoretical approach to the definition of conserved quantities, based directly on the field equations content of a Lagrangian theory (in the standard framework of the Calculus of Variations in jet bundles). The contraction of the Euler–Lagrange equations with Lie derivatives of the dynamical fields allows one to derive a variational Lagrangian for any given set o...

Conserved Quantities of Q-systems from Dimer Integrable Systems

We study a discrete dynamic on weighted bipartite graphs on a torus, analogous to dimer integrable systems in Goncharov-Kenyon 2013. The dynamic on the graph is an urban renewal together with shrinking all 2-valent vertices, while it is a cluster transformation on the weight. The graph is not necessary obtained from an integral polygon. We define the Hamiltonians of a weighted graph as partitio...

Conserved non-linear quantities in cosmology

We give a detailed and improved presentation of our recently proposed formalism for non-linear perturbations in cosmology, based on a covariant and fully non-perturbative approach. We work, in particular, with a covector combining the gradients of the energy density and of the local number of e-folds to obtain a non-linear generalization of the familiar linear uniform density perturbation. We s...

Extended Camassa-Holm Hierarchy and Conserved Quantities

An extension of the Camassa-Holm hierarchy is constructed in this letter. The conserved quantities of the hierarchy are studied and a recurrent formula for the integrals of motion is derived. PACS: 02.30.Ik; 05.45.Yv; 45.20.Jj; 02.30.Jr.