Publications related to Survival probability and local density of states for one-dimensional Hamiltonian systems

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

MATHICSE2017

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of

2S

dynamica ...

2017

Breakdown of Optical Phonons' Splitting in Two-Dimensional Materials

Nicola Marzari, Marco Gibertini, Thibault Daniel Pierre Sohier

We investigate the long-wavelength dispersion of longitudinal and transverse optical phonon modes in pillar two-diinensional materials, mriltilayers, and their heterostructures. Using analytical models and density-functional perturbation theory in a two-di ...

Amer Chemical Soc2017

Perturbative and non-perturbative aspects of RG flows in quantum field theory

Lorenzo Vitale

This thesis explores two aspects of the renormalization group (RG) in quantum field theory (QFT). In the first part we study the structure of RG flows in general Poincaré-invariant, unitary QFTs, and in particular the irreversibility properties and the rel ...

EPFL2016

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

Quantum phase transitions in low-dimensional weakly interacting disordered Bose gases

Joseph Saliba

In this thesis, we study the quantum phase transition triggered by an external random po- tential in ultra-cold low-dimensional weakly-interacting Bose gases at zero temperature. In one-dimensional systems, the quantum phases are characterized by the decay ...

EPFL2016

Hyperkahler Floer Theory As Infinite Dimensional Hamiltonian System

We reformulate the equation characterizing the critical points of the hypersymplectic action functional as solutions of a Hamiltonian system on the iterated loop space. The intent is to gain more insight into dynamics of hyperkahler Floer theory. ...

American Mathematical Society2015

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

Alfio Quarteroni, Simone Deparis, Adelmo Cristiano Innocenza Malossi, Paolo Crosetto

Simulating arterial trees in the cardiovascular system can be made by the help of different models, depending on the outputs of interest and the desired degree of accuracy. In particular, one-dimensional fluid-structure interaction models for arteries are ...

Society for Industrial and Applied Mathematics2013

A class of Neumann type systems and its application

Jinbing Chen

A class of Neumann type systems are derived separating the spatial and temporal variables for the 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation and the modified Korteweg-de Vries (mKdV) hierarchy. The Lax-Moser matrix of Neumann type s ...

International Press2012

Atoms and quantum dots with a large number of electrons: The ground-state energy

Hervé Kunz, Rico Rueedi

We compute the ground-state energy of atoms and quantum dots with a large number N of electrons. Both systems are described by a nonrelativistic Hamiltonian of electrons in a d-dimensional space. The electrons interact via the Coulomb potential. In the cas ...

2010

Survival probability and local density of states for one-dimensional Hamiltonian systems

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MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Breakdown of Optical Phonons' Splitting in Two-Dimensional Materials

Perturbative and non-perturbative aspects of RG flows in quantum field theory

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

Quantum phase transitions in low-dimensional weakly interacting disordered Bose gases

Hyperkahler Floer Theory As Infinite Dimensional Hamiltonian System

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

A class of Neumann type systems and its application

Atoms and quantum dots with a large number of electrons: The ground-state energy

Hyperkahler Floer Theory As Infinite Dimensional Hamiltonian System

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

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

Perturbative and non-perturbative aspects of RG flows in quantum field theory

Quantum phase transitions in low-dimensional weakly interacting disordered Bose gases

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Breakdown of Optical Phonons' Splitting in Two-Dimensional Materials

Atoms and quantum dots with a large number of electrons: The ground-state energy

A class of Neumann type systems and its application