Results 121 to 130 of about 7,283,719 (303)
Generalized Hamiltonian structures for Ermakov systems [PDF]
Journal of Physics A: Mathematical and General, 2002 We construct Poisson structures for Ermakov systems, using the Ermakov invariant as the Hamiltonian. Two classes of Poisson structures are obtained, one of them degenerate, in which case we derive the Casimir functions. In some situations, the existence of Casimir functions can give rise to superintegrable Ermakov systems.
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Advanced Science, EarlyView.As CMOS technology approaches fundamental energy limits, new paradigms for low‐power information processing are required. Magnetic systems are attractive for their spin transport, yet current‐induced magnetization control is energy inefficient. Multiferroic heterostructures enable energy‐efficient electric field manipulation of magnetism.
Donghyeon Lee +3 more
wiley +1 more source
Excess Structure in the Constrained Hamiltonian Formalism [PDF]
Gauge theories are often characterized as possessing ‘redundancy’ or ‘excess structure’. This, in turn, motivates reducing the gauge symmetries, commonly through ‘symplectic reduction’ in the Hamiltonian framework.
Bradley, Clara
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Interface Structures and Hamiltonians: Exact Results
International Journal of Thermophysics, 2001 There have been many recent applications of interface models and Hamiltonians to problems in the theory of wetting. These models help to understand more abstract calculations on the type of problem which can be treated on the one hand, and on the other, to extend the type of problem which can be treated. A very recent example of this is corner wetting,
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Bi-Hamiltonian structure in Fermi coordinates
We show that every smooth autonomous dynamical system determined by a never vanishing vector field on a three dimensional manifold locally admits a bi-Hamiltonian structure such that Fermi coordinates in the normal bundle of an integral curve correspond ...
Bayrakdar, T.
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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Multifunctional Quantum Sensing Using Single Spins in a van der Waals Crystal
Advanced Science, EarlyView.The work demonstrates a dual quantum sensing of temperature and magnetic field using spin‐complex quantum emitters in hexagonal boron nitride (hBN). Temperature sensing via zero‐phonon‐line shifts and magnetometry via optically detected magnetic resonances, enable simultaneous local thermometry and magnetic‐field measurements.
James Liddle‐Wesolowski +7 more
wiley +1 more source
The Integrability of New Two-Component KdV Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev-Petviashvilli-Radul-Manin
Ziemowit Popowicz
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Green's Functions of Non‐Hermitian Systems at Exceptional Deficiency
Advanced Science, EarlyView.We analyze the responses of a non‐Hermitian lattice system under the condition of exceptional deficiency (ED), when all bands in the system are formed by exceptional points. Using the frequency domain, we identify novel steady‐state responses that root in the broadband super‐Lorentzian Green's function (GF).
Congwei Lu, Guancong Ma
wiley +1 more source
New Variables of Separation for the Steklov-Lyapunov System
Symmetry, Integrability and Geometry: Methods and Applications, 2012 A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R^3. We present the bi-Hamiltonian structure and the corresponding variables of separation on this phase space for ...
Andrey V. Tsiganov
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