Applications of neural networks to dynamics simulation of Landau-Zener transitions
Sign Up to like & getrecommendations! Published in 2020 at "Chemical Physics"
DOI: 10.1016/j.chemphys.2019.110509
Abstract: Abstract We simulate the dynamics of a qubit-oscillator system obeying the Landau-Zener (LZ) model, by employing the nonlinear autoregressive neural network and the long short-term memory neural network. Initially, time-dependent transition probability of the LZ… read more here.
Keywords: landau zener; transition probability; time; neural networks ... See more keywords
Wigner-type theorem on transition probability preserving maps in semifinite factors
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.05.019
Abstract: The Wigner's theorem, which is one of the cornerstones of the mathematical formulation of quantum mechanics, asserts that every symmetry of quantum system is unitary or anti-unitary. This classical result was first given by Wigner… read more here.
Keywords: probability preserving; transition probability; transition; wigner type ... See more keywords
A closed form approximation and error quantification for the response transition probability density function of a class of stochastic differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Probabilistic Engineering Mechanics"
DOI: 10.1016/j.probengmech.2017.07.005
Abstract: Abstract A closed-form analytical approximation is derived for the response transition probability density function (PDF) of a certain class of stochastic differential equations with constant drift and nonlinear diffusion coefficients. This is done by resorting… read more here.
Keywords: response; approximation; probability density; transition probability ... See more keywords
Transition probability generating function of a transitionless quantum parametric oscillator.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.012133
Abstract: The transitionless tracking (TT) algorithm enables the exact tracking of quantum adiabatic dynamics in an arbitrary short time by adding a counterdiabatic Hamiltonian to the original adiabatic Hamiltonian. By applying Husimi's method originally developed for… read more here.
Keywords: probability generating; transitionless; transition probability; parametric oscillator ... See more keywords
Deriving the transition probability matrix using computational mechanics
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Computations"
DOI: 10.1108/ec-02-2017-0051
Abstract: Purpose The combined effects of several complex phenomena cause the deterioration of elements in steel hydraulic structures (SHSs) within the US lock system: corrosion, cracking and fatigue, impact and overloads. Predicting the future condition state… read more here.
Keywords: probability matrix; transition probability; transition; mechanics ... See more keywords
Research on Disability Grading Based on ICF Functional Framework: Empirical Evidence From Zhejiang Province, China
Sign Up to like & getrecommendations! Published in 2021 at "Frontiers in Public Health"
DOI: 10.3389/fpubh.2021.616180
Abstract: Through assignment method, the total score of disability in multiple dimensions is obtained, and it is divided into five functional states—severe disability, partial disability, moderate disability, mild disability, and health—according to the score, and the… read more here.
Keywords: probability; disability grading; disability; research disability ... See more keywords