Results 31 to 40 of about 37,717 (312)
QUANTUM BI-HAMILTONIAN SYSTEMS [PDF]
We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associative structures. We find such structures by means of the associative version of Nijenhuis tensors. Explicit examples, e.g. for the harmonic oscillator, are given.
Janusz Grabowski +3 more
openaire +5 more sources
Enhancing brain tumor detection in MRI images using YOLO-NeuroBoost model
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 +4 more
doaj +1 more source
Hamiltonian elliptic system involving nonlinearities with supercritical exponential growth
In this paper, we deal with the existence of nontrivial solutions to the following class of strongly coupled Hamiltonian systems: $ \begin{equation*} \quad \left\{ \begin{array}{rclll} -{\rm div} \big(w(x)\nabla u\big) \ = \ g(x,v),&\ & x ...
Yony Raúl Santaria Leuyacc
doaj +1 more source
Nontwist non-Hamiltonian systems [PDF]
We show that the nontwist phenomena previously observed in Hamiltonian systems exist also in time-reversible non-Hamiltonian systems. In particular, we study the two standard collision/reconnection scenarios and we compute the parameter space breakup diagram of the shearless torus.
E. G. Altmann +2 more
openaire +6 more sources
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley +1 more source
Hamiltonian open quantum system toolkit
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
The utilization of direct energy deposition (DED)‐arc additive manufacturing processes in industrial applications is increasing, and these processes have the potential for multi‐material applications. This work provides a overview of the state of research in DED‐arc made functional graded structures, to establish a link to potential industrial ...
Kai Treutler, Volker Wesling
wiley +1 more source
In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
wiley +1 more source
A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian +6 more
wiley +1 more source

