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Local Gram-Schmidt and Covariant Lyapunov Vectors and Exponents for Three Harmonic Oscillator Problems
Lyapunov Instability Covariant Lyapunov Spectrum Gram-Schmidt Orthonormalization
2011/7/6
We compare the Gram-Schmidt and covariant phase-space-basis-vector descriptions for three
time-reversible harmonic oscillator problems, in two, three, and four phase-space dimensions re-
spectively....
Some Properties of an Infinite Family of Deformations of the Harmonic Oscillator
quantum Hamiltonians superintegrability exchange operators supersymmetry
2011/2/21
In memory of Marcos Moshinsky, who promoted the algebraic study of the har-monic oscillator, some results recently obtained on an infinite family of deformations of such a system are reviewed.
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
We give the solution of certain parabolic evolution problems (time-depending perturbations of the heat equation for the harmonic oscillator ) as explicit integrals on a space of continuous functions, ...
On the exact discretization of the classical harmonic oscillator equation
fnite differe ncenumerical schemes exactdis-cretizations geometric numerical integration classical harmonic oscillator energy integral
2010/4/8
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. ...