104 citations · 1.6k across the 103 of their papers we have counts for
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A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients
Hong Qin
Linear Hamiltonian systems with time-dependent coefficients are of importance to nonlinear Hamiltonian systems, accelerator physics, plasma physics, and quantum physics. It is show…
Variational integrators for perturbed non-canonical Hamiltonian systems
J. W. Burby, C. L. Ellison, H. Qin
Finite-dimensional non-canonical Hamiltonian systems arise naturally from Hamilton's principle in phase space. We present a method for deriving variational integrators that can be…
Hamiltonian mechanics of generalized eikonal waves
J. W. Burby, H. Qin
In accordance with the Keller-Maslov global WKB theory, a semiclassical scalar wave field is best encoded as a triple consisting of (i) a Lagrangian submanifold in the ray phas…
Gyrosymmetry: Global Considerations
J. W. Burby, H. Qin
In the guiding center theory, smooth unit vectors perpendicular to the magnetic field are required to define the gyrophase. The question of global existence of these vectors is add…
The Hamiltonian Mechanics of Stochastic Acceleration
J. W. Burby, A. I. Zhmoginov, H. Qin
We show how to find the physical Langevin equation describing the trajectories of particles undergoing collisionless stochastic acceleration. These stochastic differential equation…
Multisymplectic Geometry Method for Maxwell's Equations and Multisymplectic Scheme
Hongling Su, Mengzhao Qin
In this paper we discussed the self-adjointness of the Maxwell's equations with variable coefficients and . Three different Lagrangian are attained. By the Legendre transfor…