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Showing 1-20 of 1,323 results
  1. Complex Fluid Models of Mixed Quantum–Classical Dynamics

    Several methods in nonadiabatic molecular dynamics are based on Madelung’s hydrodynamic description of nuclear motion, while the electronic component...

    François Gay-Balmaz, Cesare Tronci in Journal of Nonlinear Science
    Article Open access 02 July 2024
  2. Quantifying Measurement-Induced Disturbance to Distinguish Correlations as Classical or Quantum

    In contrast to the conventional entanglement-separability paradigm in quantum information theory, we embark on a different path by introducing a...

    Yu-Chen Shu, Bing-Ze Lu, ... Matthew M. Lin in Journal of Scientific Computing
    Article 23 February 2024
  3. On the operator origins of classical and quantum wave functions

    Xerxes D. Arsiwalla, David Chester, Louis H. Kauffman in Quantum Studies: Mathematics and Foundations
    Article Open access 19 December 2023
  4. Classical Noises Emerging from Quantum Environments

    In the framework of quantum open systems, that is, simple quantum systems coupled to quantum baths, our aim is to characterize those actions of the...
    S. Attal, J. Deschamps, C. Pellegrini in Séminaire de Probabilités LI
    Conference paper 2022
  5. Investigating the Stability and Accuracy of a Classical Map** Variable Hamiltonian for Nonadiabatic Quantum Dynamics

    Previous work has shown that by using the path integral representation of quantum mechanics and by map** discrete electronic states to continuous...

    Elliot C. Eklund, Nandini Ananth in Regular and Chaotic Dynamics
    Article 01 March 2021
  6. The Price Identity of Replicator(–Mutator) Dynamics on Graphs with Quantum Strategies in a Public Goods Game

    Our research explores the influence of quantum strategies on the Price identity of replicator(–mutator) dynamics in networked systems. We...

    Arnaud Z. Dragicevic in Dynamic Games and Applications
    Article 14 March 2024
  7. Classical and Quantum Dynamical Manifestations of Index-\(2\) Saddles: Concerted Versus Sequential Reaction Mechanisms

    The presence of higher-index saddles on a multidimensional potential energy surface is usually assumed to be of little significance in chemical...

    Priyanka Pandey, Shibabrat Naik, Srihari Keshavamurthy in Regular and Chaotic Dynamics
    Article 01 March 2021
  8. Species of Spaces

    Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of...
    Chapter 2023
  9. Epilogue: Stokes Phenomena. Dynamics, Classification Problems and Avatars

    We describe the Stokes phenomenon, its main significance, and its emergence in various landscapes. We explain how to use Stokes phenomena to enrich...
    Chapter 2024
  10. Description of the non-Markovian dynamics of atoms in terms of a pure state

    The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks....

    Yuri Ozhigov, You Jiangchuan in Computational Mathematics and Modeling
    Article 01 January 2023
  11. Trace Decreasing Quantum Dynamical Maps: Divisibility and Entanglement Dynamics

    Trace decreasing quantum operations naturally emerge in experiments involving postselection. However, the experiments usuallyFilippov, S.N. focus on...
    Conference paper 2022
  12. Quantum Superposition and Entanglement

    Two properties of Hilbert space that are pivotal in making quantum algorithms faster than classical algorithms are superposition and entanglement,...
    Belal Ehsan Baaquie, Leong-Chuan Kwek in Quantum Computers
    Chapter 2023
  13. On the Dynamics of Matrix Models for Immune Clonal Networks

    We propose some new matrix models for clonal network dynamics that are typical for simulating various biological clonal-type networks and study their...

    A. A. Balinsky, V. V. Gafiychuk, ... A. K. Prykarpatsky in Journal of Mathematical Sciences
    Article 01 May 2022
  14. Sliding Mode Control of Quantum Systems

    Sliding mode control is a powerful variable structure control method for classical control systems. The basic idea of sliding mode control can also...
    Daoyi Dong, Ian R. Petersen in Learning and Robust Control in Quantum Technology
    Chapter 2023
  15. From Second-Order Differential Geometry to Stochastic Geometric Mechanics

    Classical geometric mechanics, including the study of symmetries, Lagrangian and Hamiltonian mechanics, and the Hamilton–Jacobi theory, are founded...

    Qiao Huang, Jean-Claude Zambrini in Journal of Nonlinear Science
    Article Open access 07 June 2023
  16. On classical systems and measurements in quantum mechanics

    The recent rigorous derivation of the Born rule from the dynamical law of quantum mechanics Allahverdyan et al. (Phys Rep 525:1–166. ...

    Article 27 March 2019
  17. Chaotic Dynamics of Homogeneous Yang–Mills Fields with Three Degrees of Freedom

    Abstract

    We consider a scenario of transition to chaotic dynamics in a Hamiltonian system of homogeneous Yang–Mills fields with three degrees of...

    N. A. Magnitskii in Differential Equations
    Article 01 March 2022
  18. Design Principles for Perfect Adaptation in Biological Networks with Nonlinear Dynamics

    Establishing a map** between the emergent biological properties and the repository of network structures has been of great relevance in systems and...

    Priyan Bhattacharya, Karthik Raman, Arun K. Tangirala in Bulletin of Mathematical Biology
    Article 03 July 2024
  19. Dissipation-Preserving Rational Spectral-Galerkin Method for Strongly Damped Nonlinear Wave System Involving Mixed Fractional Laplacians in Unbounded Domains

    This paper aims at develo** a dissipation-preserving, linearized, and time-step**-varying spectral method for strongly damped nonlinear wave...

    Shimin Guo, Wen**g Yan, ... Liquan Mei in Journal of Scientific Computing
    Article 07 October 2022
  20. On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime

    By using the pseudo-metric introduced in Golse and Paul (Arch Ration Mech Anal 223:57–94, 2017), which is an analogue of the Wasserstein distance of...

    François Golse, Shi **, Thierry Paul in Foundations of Computational Mathematics
    Article 30 June 2020
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