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A hierarchy of Hamilton operators and entanglement
Open Physics, 2009 Abstract We consider a hierarchy of Hamilton operators Ĥ N in finite dimensional Hilbert spaces $$ \mathbb{C}^{2^N } $$. We show that the eigenstates of Ĥ N are fully entangled for N even. We also calculate the unitary operator U N(t) = exp(—Ĥ
Willi-Hans Steeb, Yorick Hardy
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Qualitative and quantitative evaluation of the usability of transport ventilators using eye tracking [PDF]
Scientific ReportsDeficiencies in the usability of transport ventilators may lead to operating errors and patient harm. Intuitively operable devices and optimized ergonomics can reduce cognitive workload and critical events.
Axel Schmutz +3 more
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On local spectral properties of Hamilton operators
Filomat, 2018 This paper deals with local spectral properties of Hamilton type operators. The strongly decomposability, Weyl type theorems and hyperinvariant subspace problem of them and the similar properties with their adjoint operators are studied. As corollaries, some local spectral properties of Hamilton operators are obtained.
Wurichaihu Bai, Chen Alatancang
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Rotation in four dimensions via generalized Hamilton operators
Kuwait Journal of Science, 2013 In this paper, after a brief review of some algebraic properties of generalized quaternions, we investigated the properties of generalized Hamilton operators and we considered how the generalized quaternions can be used to described the rotation in 4 ...
MEHDI JAFARI, YUSUF YAYLI
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A Hamilton–Jacobi-based proximal operator
Proceedings of the National Academy of Sciences, 2023 First-order optimization algorithms are widely used today. Two standard building blocks in these algorithms are proximal operators (proximals) and gradients. Although gradients can be computed for a wide array of functions, explicit proximal formulas are known for only limited classes of functions.
Stanley Osher +2 more
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Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators
Advances in Mathematical Physics, 2021 Based on the generalized operators, Hamilton equation, Noether symmetry, and perturbation to Noether symmetry are studied. The main contents are divided into four parts, and every part includes two generalized operators.
Chuan-Jing Song, Yao Cheng
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Variational approach to the construction of discrete mathematical model of the pendulum motion with vibrating suspension with friction [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 The main purpose of this work is, first, a construction of the indirect Hamilton’s variational principle for the problem of motion of a pendulum with a vibration suspension with friction, oscillating along a straight line making a small angle with ...
Savchin, Vladimir Mikhailovich +1 more
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Supersymmetric Hamilton Operator and Entanglement [PDF]
Zeitschrift für Naturforschung A, 2006 We study the entanglement of Fermi particles of a supersymmetric Hamilton operator given by a simple Fermi-Bose ...
Willi-Hans Steeb, Yorick Hardy
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Demonstratio Mathematica, 2021 In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions.
Miloudi Madjda +2 more
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Royal Society Open Science, 2023 In his seminal part IV, Annalen der Physik vol. 81, 1926 paper, Schrödinger has developed a clear understanding about the wave equation that produces the correct quadratic dispersion relation for matter-waves and he first presents a real-valued wave ...
Nicos Makris
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