Concept

Ehrenfest theorem

Related publications (11)

Data-Driven Control Synthesis using Koopman Operator: A Robust Approach

Alireza Karimi, Mert Eyuboglu, Nathan Russell Powell

This paper proposes a data-driven control design method for nonlinear systems that builds upon the Koopman operator framework. In particular, the Koopman operator is used to lift the nonlinear dynamics to a higher-dimensional space where the so-called obse ...

2024

Quantum Measurement of Mechanical Motion close to the Standard Quantum Limit

Liu Qiu

In quantum mechanics, the Heisenberg uncertainty principle places a fundamental limit in the measurement precision for certain pairs of physical quantities, such as position and momentum, time and energy or amplitude and phase. Due to the Heisenberg uncert ...

EPFL2020

A time-reversible integrator for the time-dependent Schrödinger equation on an adaptive grid

Jiri Vanicek, Seonghoon Choi

One of the most accurate methods for solving the time-dependent Schrödinger equation uses a combination of the dynamic Fourier method with the split-operator algorithm on a tensor-product grid. To reduce the number of required grid points, we let the grid ...

2019

Inducing superconductivity in Weyl semimetal microstructures by selective ion sputtering

Philip Johannes Walter Moll, Maja Deborah Bachmann

By introducing a superconducting gap in Weyl or Dirac semimetals, the superconducting state inherits the nontrivial topology of their electronic structure. As a result, Weyl superconductors are expected to host exotic phenomena, such as nonzero-momentum pa ...

2017

An introduction to the problem of bridging quantum and classical dynamics

Sara Bonella

Simulating the exact quantum dynamics of realistic interacting systems is presently a task beyond reach but for the smallest of them, as the numerical cost for solving the time-dependent Schrodinger equation scales exponentially with the number of degrees ...

Springer Heidelberg2015

Efficient on-the-fly ab initio semiclassical method for computing time-resolved nonadiabatic electronic spectra with surface hopping or Ehrenfest dynamics

Jiri Vanicek, Tomas Zimmermann

We derive a somewhat crude, yet very efficient semiclassical approximation for computing nonadiabatic spectra. The resulting method, which is a generalization of the multiple-surface dephasing representation, includes quantum effects through interference o ...

American Institute of Physics2014

Two Dimensional Quantum Mechanical Simulation of Low Dimensional Tunneling Devices

Mihai Adrian Ionescu, Cem Alper, Livio Lattanzio, José Luis Padilla de la Torre, Pierpaolo Palestri

We present a 2-D quantum mechanical simulation framework based on self-consistent solutions of Schrodinger-Poisson system, using the Finite Element Method. The quantum mechanical model includes direct as well as phonon-assisted transitions and it is applie ...

IEEE2014

Mixed Quantum Mechanical/Molecular Mechanical (QM/MM) simulations of Adiabatic and Nonadiabatic Ultrafast Phenomena

Ursula Röthlisberger, Ivano Tavernelli, Basile Curchod, Thomas James Penfold, Pablo Campomanes Ramos, Marilisa Neri, Stefano Vanni, Andrey Laktionov

A thorough theoretical description of ultrafast phenomena that occur in complex systems constitutes a formidable challenge. It not only necessitates the use of quantum mechanical methods that can describe ground and possibly even electronically excited sta ...

Schweizerische Chemische Gesellschaft2011

Communications: Evaluation of the nondiabaticity of quantum molecular dynamics with the dephasing representation of quantum fidelity

Jiri Vanicek, Tomas Zimmermann

We propose an approximate method for evaluating the importance of non-Born–Oppenheimer effects on the quantum dynamics of nuclei. The method uses a generalization of the dephasing representation (DR) of quantum fidelity to several diabatic potential energy ...

American Institute of Physics2010

Assessing the microstructure of motion correspondences with non-retinotopic feature attribution

Michael Herzog, Thomas Otto

The motion correspondence problem, one of the classical examples of perceptual organization, addresses the question of how elements are grouped across space and time. Here, we investigate motion correspondences using a new feature attribution technique. We ...

Association for Research in Vision and Ophthalmology2008

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