Results 21 to 30 of about 748,632 (287)

Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler system [PDF]

Int. J. Geom. Methods Mod. Phys. v6 (2009) 1391-1420, 2009
The Mishchenko-Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds. It is formulated in the case of globally superintegrable Hamiltonian systems which admit global generalized action-angle coordinates.
arxiv   +1 more source

Massless Dirac Fermions on a Space‐Time Lattice with a Topologically Protected Dirac Cone

Annalen der Physik, Volume 534, Issue 12, December 2022., 2022
Fermion doubling is a lattice artefact that appears if one discretizes the Dirac equation of massless electrons. One can work around this obstacle by replacing the linear dispersion by a sawtooth. Here it is shown that this method opens a gap at the Dirac point of the band structure.
A. Donís Vela, M. J. Pacholski, G. Lemut, J. Tworzydło, C. W. J. Beenakker   +4 more
wiley   +1 more source

Quantum Optics Parity Effect on Generalized NOON States and Its Implications for Quantum Metrology

Annalen der Physik, Volume 534, Issue 12, December 2022., 2022
A quantum optical‐parity effect is found to emerge in the evolution from generalized NOON states of a two‐level atom or molecule coupled to a cavity field. The parity of the photon number influences the quantum entanglement properties of the system, resulting in a parity‐dependent ability to extract states of the evolving system for precise phase ...
Agostino Migliore, Antonino Messina
wiley   +1 more source

Browder spectra of closed upper triangular operator matrices

AIMS Mathematics
Let $ T_{B} = \left[\begin{array}{ll} A & B \\ 0 & D \end{array}\right] $ be an unbounded upper operator matrix with diagonal domain, acting in $ \mathcal H \oplus\mathcal K $, where $ \mathcal H $ and $ \mathcal K $ are Hilbert spaces.
Qingmei Bai, Alatancang Chen, Jingying Gao   +2 more
doaj   +1 more source

Parameterized Two‐Qubit Gates for Enhanced Variational Quantum Eigensolver

Annalen der Physik, Volume 534, Issue 12, December 2022., 2022
The parameterized quantum circuit used in variational quantum algorithms usually consists of parameterized single‐qubit gates and fixed entangling multi‐qubit gates. Here, it is considered what happens when the entangling gates become parameterized, which allows for directly tuning the entangling power of the circuit. The parameterized entangling gates
Stig Elkjær Rasmussen, Nikolaj Thomas Zinner   +1 more
wiley   +1 more source

Enhancing brain tumor detection in MRI images using YOLO-NeuroBoost model

Frontiers in Neurology
Brain tumors are diseases characterized by abnormal cell growth within or around brain tissues, including various types such as benign and malignant tumors. However, there is currently a lack of early detection and precise localization of brain tumors in
Aruna Chen, Aruna Chen, Aruna Chen, Da Lin, Qiqi Gao   +4 more
doaj   +1 more source

The persistence of elliptic lower dimensional tori with prescribed frequency for Hamiltonian systems

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we consider the persistence of lower dimensional tori of a class of analytic perturbed hamiltonian system, $$H=\langle \omega(\xi), I \rangle +\frac12 \Omega_0(u^2+v^2)+P(\theta,I,z,\bar{z};\xi)$$ and prove that if frequencies $(\omega_0 ...
Xuezhu Lu, Junxiang Xu, Yuedong Kong
doaj   +1 more source

Elbert-type comparison theorems for a class of nonlinear Hamiltonian systems

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Picone-type identities are established for a pair of solutions $(x,y)$ and $(X,Y)$ of the respective systems of the form \begin{equation} x' = r(t)x + p(t)\varphi_{1/\alpha} (y), \qquad y' = - q(t)\varphi_\alpha (x) - r(t)y, \tag{1.1} \end{equation ...
Jaroslav Jaroš, Takaŝi Kusano
doaj   +1 more source

Perturbed Keplerian Hamiltonian Systems

International Journal of Differential Equations, 2023
This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show ...
Riadh Chteoui
doaj   +1 more source

Hamiltonian open quantum system toolkit

Communications Physics, 2022
In quantum computing, simulating continuously evolving open quantum systems is key to describe dynamical processes on noisy quantum devices. Here, the authors present an open-source software package “Hamiltonian Open Quantum System Toolkit” (HOQST) for ...
Huo Chen, Daniel A. Lidar
doaj   +1 more source