Concept

Creation and annihilation operators

Publications associées (51)

The S-matrix bootstrap IV: multiple amplitudes

We explore the space of consistent three-particle couplings in Z(2)-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity, analyticity and crossing symmetry of the two-to-two scattering amplitud ...

Springer2019

An efficient treatment of the full Coulomb collision operator with applications

Paolo Ricci, Rogério Manuel Cabete De Jesus Jorge, Baptiste Jimmy Frei

A formulation of full Coulomb (or Landau) collision operator is provided that allows for an efficient numerical implementation, both in unmagnetized and magnetized plasmas. The method is based on projecting the Boltzmann equations and the collision operato ...

2019

Effective multi-scale approach to the Schrödinger cocycle over a skew shift base

Marius Christopher Lemm, Rui Han

We prove a conditional theorem on the positivity of the Lyapunov exponent for a Schrödinger cocycle over a skew shift base with a cosine potential and the golden ratio as frequency. For coupling below 1, which is the threshold for Herman's subharmonicity t ...

2018

Two-Color Pump-Probe Measurement of Photonic Quantum Correlations Mediated by a Single Phonon

Vincenzo Savona, Christophe Marcel Georges Galland, Hugo Pierre Alexandre Flayac, Mitchell David Anderson, Kilian Robert Seibold, Santiago Tarrago Velez

We propose and demonstrate a versatile technique to measure the lifetime of the one-phonon Fock state using two-color pump-probe Raman scattering and spectrally resolved, time-correlated photon counting. Following pulsed laser excitation, the n = 1 phonon ...

2018

Relation between a heterogeneous percolation model for cylinders and phase separation in the lattice fluid problem

Claudio Grimaldi

A relationship based upon analogy is explored between (i) a lattice-based model for percolation by cylinders that employs distinct site types with unequal occupation probabilities in order to capture heterogeneities in the particle dispersion, and (ii) the ...

2018

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Jean-Philippe Lucien Montillet

Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with a particular application to the wave equation [ 15]. To do so, the author ha ...

Int Center Scientific Research & Studies2017

On sums of eigenvalues of elliptic operators on manifolds

Joachim Stubbe

We use the averaged variational principle introduced in a recent article on graph spectra [10] to obtain upper bounds for sums of eigenvalues of several partial differential operators of interest in geometric analysis, which are analogues of Kroger's bound ...

European Mathematical Soc2017

Optimal polynomial blow up range for critical wave maps

Joachim Krieger, Can Gao

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) + \eps(t, r)

where

Q:\R^2\rightarrow S^2

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

2015

Optimal polynomial blow up range for critical wave maps

Can Gao

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

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

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