168 citations · 436 across the 32 of their papers we have counts for
7 papers · 1 filter
Dynamical invariance for random matrices
Jeremie Unterberger
We consider a general Langevin dynamics for the one-dimensional N-particle Coulomb gas with confining potential at temperature . These dynamics describe for the time e…
Minkowski curvelets and wave equations
Jeremie Unterberger
We define a new type of wavelet frame adapted to the study of wave equations, that we call Minkowski curvelets, by reference to the curvelets introduced by Candès, Demanet and Dono…
A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in -dimensions
Jeremie Unterberger, Claude Roger
Let ${\cal S}^{lin}:=\{a(t)(-2\II \partial_t-\partial_r^2+V(t,r) | a\in C^{\infty}(\R/2π\Z), V\in C^{\infty}(\R/2π\Z\times\R)\}$ be the space of Schrödinger operators in -di…
A classification of periodic time-dependent generalized harmonic oscillators using a Hamiltonian action of the Schrödinger-Virasoro group
Jeremie Unterberger
In the wake of a preceding article \cite{RogUnt06} introducing the Schrödinger-Virasoro group, we study its affine action on a space of -dimensional Schrödinger operators wi…
The Schrödinger-Virasoro Lie group and algebra: from geometry to representation theory
Claude Roger, Jeremie Unterberger
This article is concerned with an extensive study of an infinite-dimensional Lie algebra , introduced in the context of non-equilibrium statistical physics, containi…
The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
Malte Henkel, Rene Schott, Stoimen Stoimenov +1
By introducing an unconventional realization of the Poincare algebra alt_1 of special relativity as conformal transformations, we show how it may occur as a dynamical symmetry alge…
Supersymmetric extensions of Schrödinger-invariance
Malte Henkel, Jeremie Unterberger
The set of dynamic symmetries of the scalar free Schrödinger equation in d space dimensions gives a realization of the Schrödinger algebra that may be extended into a representatio…