Concept

Adiabatic invariant

Related publications (9)

Super-harmonically resonant swirling waves in longitudinally forced circular cylinders

François Gallaire, Alessandro Bongarzone, Alice Evelyne Julienne Marcotte

Resonant sloshing in circular cylinders was studied by Faltinsen et al. (J. Fluid Mech., vol. 804, 2016, pp. 608-645), whose theory was used to describe steady-state resonant waves due to a time-harmonic container's elliptic orbits. In the limit of longitu ...

CAMBRIDGE UNIV PRESS2023

Spin Evolution in the Born-Oppenheimer Approximation

Jean-Philippe Ansermet, François Reuse, Klaus Maschke

The first part of this article attempts to highlight in chronological order some prominent papers that have direct connexion with the Born-Oppenheimer approximation. This timeline successively points to the role of level crossing, the notions of gauge fiel ...

WILEY-V C H VERLAG GMBH2022

Sommerfeld Integrals and Their Relation to the Development of Planar Microwave Devices

Krzysztof Michalski

This paper deals with the mathematical expressions called Sommerfeld integrals. Introduced by A. Sommerfeld in 1909, they are mathematically equivalent to inverse Hankel transforms. The original historical goal of these integrals was to provide an accurate ...

Piscataway2021

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Juan Ramon Mosig, Krzysztof Michalski

The classical Sommerfeld half-space problem is revisited, with generalizations to multilayer and plasmonic media and focus on the surface field computation. A new ab initio solution is presented for an arbitrarily oriented Hertzian dipole radiating in the ...

Taylor & Francis Ltd2016

Traditional simulated annealing uses thermal fluctuations for convergence in optimization problems. Quantum tunneling provides a different mechanism for moving between states, with the potential for reduced time scales and different outcomes. Thermal and q ...

Springer Heidelberg2015

Reduced Electron Model with Accurate Trapping Effects for Non-Linear Ion Accoustic Waves

Stephan Brunner, Luca Delacrétaz

Ion Accoustic Wave (IAW) dynamics are usually simulated assuming an isothermal Boltzmann ﬂuid response of the electrons. It has been shown that results from the Boltzmann model may signiﬁcantly diﬀer from cor- responding ones obtained considering the fully ...

2013

The properties of semiconductors heterostructures of nanoscopic dimensions change from that of bulk material according to the rules of quantum mechanics. The planar quantum wells (QWs) are widely used in various diode and laser devices thanks to the relati ...

EPFL2013

Energy principles for linear dissipative systems with application to resistive MHD stability

A formalism for the construction of energy principles for dissipative systems is presented. It is shown that dissipative systems satisfy a conservation law for the bilinear Hamiltonian provided the Lagrangian is time invariant. The energy on the other hand ...

1997

Geometrical and mathematical aspects of the adiabatic theorem of quantum mechanics

This work is devoted to rigorous results about the adiabatic theorem of quantum mechanics. This theorem deals with the time dependent Schrödinger equation when the hamiltonian is a slowly varying function of time, characterizing the so-called adiabatic reg ...

EPFL1992

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.