Results 51 to 60 of about 7,283,719 (303)
We show that a recently introduced fifth-order bi-Hamiltonian equation with a differentially constrained arbitrary function by A. de Sole, V.G. Kac and M. Wakimoto is not a new one but a higher symmetry of a third-order equation.
Daryoush Talati, Refik Turhan
doaj +1 more source
Compilation by stochastic Hamiltonian sparsification [PDF]
Simulation of quantum chemistry is expected to be a principal application of quantum computing. In quantum simulation, a complicated Hamiltonian describing the dynamics of a quantum system is decomposed into its constituent terms, where the effect of ...
Yingkai Ouyang +2 more
doaj +1 more source
Jordan manifolds and dispersionless KdV equations [PDF]
Multicomponent KdV-systems are defined in terms of a set of structure constants and, as shown by Svinolupov, if these define a Jordan algebra the corresponding equations may be said to be integrable, at least in the sense of having higher-order ...
I. A. B. Strachan +3 more
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Hamiltonian structure of Hořava gravity
8 pages, no figures. v2: added references, corrected minor typographical errors.
Donnelly, William, Jacobson, Ted
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Nearly-Hamiltonian Structure for Water Waves with constant vorticity [PDF]
We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady ...
Prodanov, Emil +4 more
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The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems [PDF]
Summary: A generalization of Noether's theorem is obtained via an extension of the well-known Poisson bracket formalism. It is shown that degenerate closed forms yield Lie algebra homomorphisms between vector fields and covector fields. A similar result holds for operators working in the opposite way. Application of these Lie algebra homomorphisms to a
openaire +3 more sources
Non-standard construction of Hamiltonian structures [PDF]
Examples of the construction of Hamiltonian structures for dynamical systems in field theory (including one reputedly non-Hamiltonian problem) without using Lagrangians, are presented. The recently developed method used requires the knowledge of one constant of the motion of the system under consideration and one solution of the symmetry equation.
Gomberoff, Andrés, Hojman, Sergio A.
openaire +2 more sources
Effective Hamiltonian of Electroweak Penguin for Hadronic b Quark Decays [PDF]
In this research we work with the effective Hamiltonian and the quark model. We investigate the decay rates of matter-antimatter of quark. We describe the effective Hamiltonian theory and apply this theory to the calculation of current-current ( ), QCD
H. Mehrban
doaj
On the Structure of Classical Mechanics [PDF]
Jill North (North, 2009) has recently argued that Hamiltonian mechanics ascribes less structure to the world than Lagrangian mechanics does. I will argue that North's argument is not sound.
Thomas William Barrett +1 more
core
A List of 1 + 1 Dimensional Integrable Equations and Their Properties [PDF]
This paper contains a list of known integrable systems. It gives their recursion-, Hamiltonian-, symplectic- and cosymplectic operator, roots of their symmetries and their scaling ...
Jing Ping Wang, Wang, Jing Ping
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