Publications associées à Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Time-sliced perturbation theory for large scale structure I: general formalism

Sergey Sibiryakov, Diego Blas Temino, Mikhail Ivanov

We present a new analytic approach to describe large scale structure formation in the mildly non-linear regime. The central object of the method is the time-dependent probability distribution function generating correlators of the cosmological observables ...

Iop Publishing Ltd2016

The Hamiltonian of the harmonic oscillator with an attractive delta '-interaction centred at the origin as approximated by the one with a triple of attractive delta-interactions

Fabio Rinaldi

In this note we provide an alternative way of defining the self-adjoint Hamiltonian of the harmonic oscillator perturbed by an attractive delta'-interaction, of strength beta, centred at 0 (the bottom of the confining parabolic potential), that was rigorou ...

Iop Publishing Ltd2016

Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive delta-impurities symmetrically situated around the origin

Fabio Rinaldi

In this presentation, we wish to provide an overview of the spectral features for the self-adjoint Hamiltonian of the three-dimensional isotropic harmonic oscillator perturbed by either a single attractive delta-interaction centered at the origin or by a p ...

St Petersburg Natl Research Univ Information Technologies, Mech & Optics2016

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Propagation of the Lower Hybrid wave in a density fluctuating SOL

Joan Decker

The perturbation of the lower hybrid wave (LH) power spectrum by fluctuations of the plasma in the vicinity of the antenna is investigated by solving the full wave equation in a slab geometry using COMSOL MultiphysicsÂ®. The numerical model whose generalit ...

2015

Exploration of zeroth-order Wavefunctions and Energies for Intramolecular Symmetry-Adapted Perturbation Theory

Jérôme Florian Gonthier

Non-covalent interactions occur between and within all molecules and have a profound impact on structural and electronic phenomena in chemistry, biology, and material science. Understanding the nature of inter-and intramolecular interactions is essential n ...

Amer Inst Physics2014

The alpha-theorem and the asymptotics of 4D quantum field theory

Riccardo Rattazzi

We study the possible IR and UV asymptotics of 4D Lorentz invariant unitary quantum field theory. Our main tool is a generalization of the Komargodski-Schwimmer proof for the alpha-theorem. We use this to rule out a large class of renormalization group flo ...

Springer2013

Initial or final values for semiclassical evolutions in the Weyl–Wigner representation

David Eduardo Zambrano Ramirez

Initial value representations are constructed to avoid the search for trajectories that are only defined in semiclassical approximations by their boundary conditions. We show how to incorporate these procedures within the full Weyl representation, so that ...

2013

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Roland Donninger

We consider semiclassical Schr"odinger operators on the real line of the form

H(\hbar)=-\hbar^2 \frac{d^2}{dx^2}+V(\cdot;\hbar)

with

\hbar>0

small. The potential

V

is assumed to be smooth, positive and exponentially decaying towards infinity. We e ...

Springer Basel Ag2012

Effective spin couplings in the Mott insulator of the honeycomb lattice Hubbard model

Motivated by the recent discovery of a spin-liquid phase for the Hubbard model on the honeycomb lattice at half-filling (Meng et al 2010 Nature 88 487), we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians descri ...

Iop Publishing Ltd2012

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

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Time-sliced perturbation theory for large scale structure I: general formalism

The Hamiltonian of the harmonic oscillator with an attractive delta '-interaction centred at the origin as approximated by the one with a triple of attractive delta-interactions

Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive delta-impurities symmetrically situated around the origin

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Propagation of the Lower Hybrid wave in a density fluctuating SOL

Exploration of zeroth-order Wavefunctions and Energies for Intramolecular Symmetry-Adapted Perturbation Theory

The alpha-theorem and the asymptotics of 4D quantum field theory

Initial or final values for semiclassical evolutions in the Weyl–Wigner representation

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Effective spin couplings in the Mott insulator of the honeycomb lattice Hubbard model

The Hamiltonian of the harmonic oscillator with an attractive delta '-interaction centred at the origin as approximated by the one with a triple of attractive delta-interactions

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Propagation of the Lower Hybrid wave in a density fluctuating SOL

Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive delta-impurities symmetrically situated around the origin

Time-sliced perturbation theory for large scale structure I: general formalism

Initial or final values for semiclassical evolutions in the Weyl–Wigner representation

Effective spin couplings in the Mott insulator of the honeycomb lattice Hubbard model

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Exploration of zeroth-order Wavefunctions and Energies for Intramolecular Symmetry-Adapted Perturbation Theory

The alpha-theorem and the asymptotics of 4D quantum field theory