Results 31 to 40 of about 77,626 (202)
On the algebraic properties of difference approximations of Hamiltonian systems
Discrete and Continuous Models and Applied Computational ScienceIn this paper, we examine difference approximations for dynamic systems characterized by polynomial Hamiltonians, specifically focusing on cases where these approximations establish birational correspondences between the initial and final states of the ...
Lyubov O. Lapshenkova +2 more
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A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials
Bulletin of Computational Applied Mathematics, 2021 This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree k of type $V_{k,l}=\alpha (q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $\alpha$ in C and l=0 ...
Primitivo B. Acosta-Humánez +2 more
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Polynomial filter diagonalization of large Floquet unitary operators
SciPost Physics, 2021 Periodically driven quantum many-body systems play a central role for our understanding of nonequilibrium phenomena. For studies of quantum chaos, thermalization, many-body localization and time crystals, the properties of eigenvectors and eigenvalues
David J. Luitz
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Finiteness of integrable $n$-dimensional homogeneous polynomial potentials
, 2007 We consider natural Hamiltonian systems of $n>1$ degrees of freedom with polynomial homogeneous potentials of degree $k$. We show that under a genericity assumption, for a fixed $k$, at most only a finite number of such systems is integrable.
Ablowitz +32 more
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Superintegrable Extensions of Superintegrable Systems
Symmetry, Integrability and Geometry: Methods and Applications, 2012 A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E^2 and S^2 and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases
Claudia M. Chanu +2 more
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Two-layer-atmospheric blocking in a medium with high nonlinearity and lateral dispersion
Results in Physics, 2018 Herein, the extended coupled Kadomtsev–Petviashvili equation (CKPE) with lateral dispersion is investigated for studying the atmospheric blocking in two layers.
M.S. Osman +2 more
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Physics-based deep neural networks for beam dynamics in charged particle accelerators
Physical Review Accelerators and Beams, 2020 This paper presents a novel approach for constructing neural networks which model charged particle beam dynamics. In our approach, the Taylor maps arising in the representation of dynamics are mapped onto the weights of a polynomial neural network.
Andrei Ivanov, Ilya Agapov
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Моделирование и анализ информационных систем, 2021 Modern network systems (unmanned aerial vehicles groups, social networks, network production chains, transport and logistics networks, communication networks, cryptocurrency networks) are distinguished by their multi-element nature and the dynamics of ...
Aleksandr Vasil'evich Tymoshenko +2 more
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Parasupersymmetric Quantum Mechanics and Indices of Fredholm Operators [PDF]
, 1996 The general features of the degeneracy structure of ($p=2$) parasupersymmetric quantum mechanics are employed to yield a classification scheme for the form of the parasupersymmetric Hamiltonians.
Mostafazadeh, Ali
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Efficient Quantum Cooling Algorithm for Fermionic Systems [PDF]
QuantumWe present a cooling algorithm for ground state preparation of fermionic Hamiltonians. Our algorithm makes use of the Hamiltonian simulation of the considered system coupled to an ancillary fridge, which is regularly reset to its known ground state.
Lucas Marti +2 more
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