Concept

Oscillateur harmonique quantique

Publications associées (172)

Optimal polynomial blow up range for critical wave maps

We prove that the critical Wave Maps equation with target

S^2

and origin ℝ

^{2+1}

admits energy class blow up solutions of the form [ u(t, r) = Q(\lambda(t)r) + \epsilon(t, r) ] where

Q:ℝ²\rightarrow S^2

is the ground state harmonic map and $\lambda ...

EPFL2015

Noether's theorem for dissipative quantum dynamical semi-groups

Tudor Ratiu

Noether's theorem on constants of the motion of dynamical systems has recently been extended to classical dissipative systems (Markovian semi-groups) by Baez and Fong [J. Math. Phys. 54, 013301 (2013)]. We show how to extend these results to the fully quan ...

Amer Inst Physics2015

Isotropic harmonic oscillator and associated time base without escapement or simplified escapement

Simon Nessim Henein, Ilan Vardi, Lennart Rubbert

The mechanical isotropic harmonic oscillator comprises at least a two degrees of freedom linkage supporting an orbiting mass with respect to a fixed base with springs having isotropic and linear restoring force properties. The oscillator may be used in a t ...

2015

Measurement-based control of a mechanical oscillator at its thermal decoherence rate

Tobias Kippenberg, Dalziel Joseph Wilson, Ryan Daniel Schilling, Vivishek Sudhir, Amir Hossein Ghadimi

In real-time quantum feedback protocols(1,2), the record of a continuous measurement is used to stabilize a desired quantum state. Recent years have seen successful applications of these protocols in a variety of well-isolated micro-systems, including micr ...

Nature Publishing Group2015

Integrable Systems of Neumann Type

Tudor Ratiu

We construct families of integrable systems that interpolate between -dimensional harmonic oscillators and Neumann systems. This is achieved by studying a family of integrable systems generated by the Casimir functions of the Lie algebra of real skew-symme ...

Springer Verlag2015

Mixed Quantum Mechanical/Molecular Mechanical Molecular Dynamics Simulations of Biological Systems in Ground and Electronically Excited States

Ursula Röthlisberger, Elizabeth Claire Brunk

The current state of the art of Quantum Mechanical/molecular mechanical (QM/MM) molecular dynamics approaches in ground and electronically excited states and their applications to biological problems is reviewed. For a complete description of quantum pheno ...

2015

Molecular quantum mechanical gradients within the polarizable embedding approach-Application to the internal vibrational Stark shift of acetophenone

We present an implementation of analytical quantum mechanical molecular gradients within the polarizable embedding (PE) model to allow for efficient geometry optimizations and vibrational analysis of molecules embedded in large, geometrically frozen enviro ...

Amer Inst Physics2015

Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions

Jan Sickmann Hesthaven

Higher order and spectral methods have been used with success for elliptic and parabolic initial and boundary value problems with smooth solutions. On the other hand, higher order methods have been applied to hyperbolic problems with less success, as highe ...

Society for Industrial and Applied Mathematics2015

Cavity Quantum Optomechanics: Coupling Light And Micromechanical Oscillators

Tobias Kippenberg, Albert Schliesser, Stefan Alexander Weis

Cavity optomechanics(1) is a new research field that has seen spectacular advances in recent years. Optomechanics combines advances in nano-and electromechanical systems with radiation pressure enabled control. The radiation pressure backaction enables to ...

Ieee2014

First-Principles Determination of Phonon Lifetimes, Mean Free Paths, and Thermal Conductivities in Crystalline Materials: Pure Silicon and Germanium

Nicola Marzari

The thermal properties of insulating, crystalline materials are essentially determined by their phonon dispersions, the finite-temperature excitations of their phonon populations-treated as a Bose-Einstein gas of harmonic oscillators-and the lifetimes of t ...

Springer-Verlag Berlin2014

Graph Chatbot

Chattez avec Graph Search

Posez n’importe quelle question sur les cours, conférences, exercices, recherches, actualités, etc. de l’EPFL ou essayez les exemples de questions ci-dessous.

AVERTISSEMENT : Le chatbot Graph n'est pas programmé pour fournir des réponses explicites ou catégoriques à vos questions. Il transforme plutôt vos questions en demandes API qui sont distribuées aux différents services informatiques officiellement administrés par l'EPFL. Son but est uniquement de collecter et de recommander des références pertinentes à des contenus que vous pouvez explorer pour vous aider à répondre à vos questions.

Connectez-vous pour utiliser Chat avec Graph Search