Results 51 to 60 of about 14,168 (160)
Linear Quantum Entropy and Non-Hermitian Hamiltonians
Entropy, 2016 We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow
Alessandro Sergi, Paolo V. Giaquinta
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Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter
Applied Sciences, 2020 This paper considers a general approach to fault diagnosis using a generalized Hamiltonian system representation. It can be considered that, in general, nonlinear systems still represent a problem in fault diagnosis because there are results only for a ...
Luis Alejandro Ramírez +4 more
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Advances in Difference Equations, 2020 This paper investigates the existence of solutions to subquadratic operator equations with convex nonlinearities and resonance by means of the index theory for self-adjoint linear operators developed by Dong and dual least action principle developed by ...
Mingliang Song, Ping Chen
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The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems
MathematicsThe limit cycles have a main role in understanding the dynamics of planar differential systems, but their study is generally challenging. In the last few years, there has been a growing interest in researching the limit cycles of certain classes of ...
Louiza Baymout +2 more
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Singular linear q-Hamiltonian systems
Annales Universitatis Mariae Curie-Sklodowska, sectio A – MathematicaIn this paper, a singular linear q-Hamiltonian system is considered. The Titchmarsh-Weyl theory for this problem is constructed. Firstly, we provide some necessary fundamental concepts of the q-calculus. Later, we studied Titchmarsh-Weyl functions M(λ) and circles CTW(a,λ) for this system. Circles CTW(a,λ) are proved to be nested. In the fourth part of
Allahverdiev, Bilender, Tuna, Huseyin
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Advances in Mathematical Physics, 2012 We discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the ...
M. Gianfreda, G. Landolfi
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Geometric Linearization for Constraint Hamiltonian Systems
SymmetryThis study investigates the geometric linearization of constraint Hamiltonian systems using the Jacobi metric and the Eisenhart lift. We establish a connection between linearization and maximally symmetric spacetimes, focusing on the Noether symmetries admitted by the constraint Hamiltonian systems.
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Linear Hamiltonian Vector Fields on Lie Groups
MathematicsLinear vector fields on Lie groups constitute a fundamental class of dynamical systems, as their flows are one-parameter subgroups of automorphisms and their infinitesimal behavior is entirely determined by derivations of the Lie algebra.
Víctor Ayala +1 more
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Active learning of effective Hamiltonian for super-large-scale atomic structures
npj Computational MaterialsThe first-principles-based effective Hamiltonian scheme provides one of the most accurate modeling techniques for large-scale structures, especially for ferroelectrics.
Xingyue Ma +10 more
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Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems
Journal of Functional Analysis, 2001 The existence of a homoclinic orbit is proved in the paper for a Hamiltonian system \[ \dot z=JH_z(z,t),\tag{1} \] where \(z=(p,q)\in \mathbb R^{2N}\) and \(J=\left (\begin{smallmatrix} 0 & -I\\ I & 0\end{smallmatrix} \right)\). Furthermore, \(H(z,t)=\frac{1}{2}Az\cdot z+G(z,t)\) and \(H(0,t)=0\) with \(G_z(z,t)/|z|\to 0\) uniformly in \(t\) as \(z\to ...
Szulkin, Andrzej, Zou, Wenming
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