A rigorous Hamiltonian approach to the rotation of elastic bodies

The formalism of multibody systems offers a means of computer-assisted algorithmic analysis and a means of simulating and optimizing an arbitrary movement of a possible high number of elastic bodies in the connection [...]

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Passive Guaranteed Simulation of Analog Audio Circuits: A Port-Hamiltonian Approach

Applied Sciences ◽

10.3390/app6100273 ◽

2016 ◽

Vol 6 (10) ◽

pp. 273 ◽

Cited By ~ 9

Author(s):

Antoine Falaize ◽

Thomas Hélie

Keyword(s):

Hamiltonian Approach

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Hamiltonian Approach to Magnetic Fields with Toroidal Surfaces

Zeitschrift für Naturforschung A ◽

10.1515/zna-1985-1001 ◽

1985 ◽

Vol 40 (10) ◽

pp. 959-967

Author(s):

A. Salat

Keyword(s):

Magnetic Field ◽

Hamiltonian System ◽

Magnetic Fields ◽

Constant Pressure ◽

Time Dependent ◽

Hamiltonian Approach ◽

One Dimensional ◽

Mhd Equilibrium ◽

Magnetic Surfaces ◽

Rotational Transform

The equivalence of magnetic field line equations to a one-dimensional time-dependent Hamiltonian system is used to construct magnetic fields with arbitrary toroidal magnetic surfaces I = const. For this purpose Hamiltonians H which together with their invariants satisfy periodicity constraints have to be known. The choice of H fixes the rotational transform η(I). Arbitrary axisymmetric fields, and nonaxisymmetric fields with constant η(I) are considered in detail.Configurations with coinciding magnetic and current density surfaces are obtained. The approach used is not well suited, however, to satisfying the additional MHD equilibrium condition of constant pressure on magnetic surfaces.

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Light front Hamiltonian for boson form of QED (1 + 1) in Pauli–Villars regularization

International Journal of Modern Physics A ◽

10.1142/s0217751x19501136 ◽

2019 ◽

Vol 34 (21) ◽

pp. 1950113

Author(s):

V. A. Franke ◽

M. Yu. Malyshev ◽

S. A. Paston ◽

E. V. Prokhvatilov ◽

M. I. Vyazovsky

Keyword(s):

Perturbation Theory ◽

Chiral Perturbation Theory ◽

Chiral Condensate ◽

Light Front ◽

Coupling Constants ◽

Hamiltonian Approach ◽

Chiral Perturbation ◽

Dimensional Models ◽

Villars Regularization ◽

Ultraviolet Regularization

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for [Formula: see text]-dimensional models like QCD.

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