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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
Steeb Willi-Hans, Hardy Yorick
doaj   +3 more sources

Spin Hamilton Operators, Symmetry Breaking, Energy Level Crossing, and Entanglement [PDF]

Zeitschrift für Naturforschung A, 2012
We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement, and energy level crossing. The Hamilton operators are based on the Pauli group.We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level ...
Steeb, Willi-Hans, Hardy, Yorick, De Greef, Jacqueline   +2 more
core   +8 more sources

HAMILTON OPERATORS, DISCRETE SYMMETRIES, BRUTE FORCE AND SYMBOLICC++ [PDF]

International Journal of Modern Physics C, 2013
To find the discrete symmetries of a Hamilton operator Ĥ is of central importance in quantum theory. Here, we describe and implement a brute force method to determine the discrete symmetries given by permutation matrices for Hamilton operators acting in a finite-dimensional Hilbert space. Spin and Fermi systems are considered as examples.
Steeb, Willi-Hans, Hardy, Yorick
openaire   +5 more sources

A Hamilton–Jacobi-based proximal operator [PDF]

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, Howard Heaton, Samy Wu Fung   +2 more
openaire   +4 more sources

Qualitative and quantitative evaluation of the usability of transport ventilators using eye tracking [PDF]

Scientific Reports
Deficiencies 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, Theresa Schwarz, Stefan Schumann, Johannes Spaeth   +3 more
doaj   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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, Trinh, Phuoc Toan   +1 more
doaj   +1 more source

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
openaire   +1 more source

L∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition

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, Saadi Samira, Haiour Mohamed   +2 more
doaj   +1 more source