378 citations · 4k across the 141 of their papers we have counts for
16 papers · 1 filter
Schrödinger symmetry: a historical review
Christian Duval, Malte Henkel, Peter Horvathy +2
This paper reviews the history of the conformal extension of Galilean symmetry, now called Schrödinger symmetry. In the physics literature, its discovery is commonly attributed to…
Quantum dynamics far from equilibrium: a case study in the spherical model
Malte Henkel
The application of quantum Langevin equations for the study of non-equilibrium relaxations is illustrated in the exactly solved quantum spherical model. Tutorial sections on the ph…
Meta-Schrödinger invariance
Stoimen Stoimenov, Malte Henkel
The Meta-Schrödinger algebra arises as the dynamical symmetry in transport processes which are ballistic in a chosen `parallel' direction and diffusive and all other `transverse' d…
Infinite-dimensional meta-conformal Lie algebras in one and two spatial dimensions
Malte Henkel, Stoimen Stoimenov
Meta-conformal transformations are constructed as sets of time-space transformations which are not angle-preserving but contain time- and space translations, time-space dilatations…
Physical ageing and new representations of some Lie algebras of local scale-invariance
Malte Henkel, Stoimen Stoimenov
Indecomposable but reducible representations of several Lie algebras of local scale-transformations, including the Schrödinger and conformal Galilean algebras, and some of their ap…
Logarithmic Exotic Conformal Galilean Algebras
Malte Henkel, Ali Hosseiny, Shahin Rouhani
Logarithmic representations of the conformal Galilean algebra (CGA) and the Exotic Conformal Galilean algebra ({\sc ecga}) are constructed. This can be achieved by non-decomposable…
Logarithmic correlators or responses in non-relativistic analogues of conformal invariance
Malte Henkel, Shahin Rouhani
Recent developments on emergence of logarithmic terms in correlators or response functions of models which exhibit dynamical symmetries analogous to conformal invariance in not nec…
On logarithmic extensions of local scale-invariance
Malte Henkel
Ageing phenomena far from equilibrium naturally present dynamical scaling and in many situations this may generalised to local scale-invariance. Generically, the absence of time-tr…
Schr"odinger invariance and space-time symmetries
Malte Henkel, Jeremie Unterberger
The free Schrödinger equation with mass M can be turned into a non-massive Klein-Gordon equation via Fourier transformation with respect to M. The kinematic symmetry algebra sch_d…
Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
Malte Henkel
Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are characterized by an anisotropy exponent theta or a dynamical exponent z. For a given value…
Aging, phase ordering and conformal invariance
Malte Henkel, Michel Pleimling, Claude Godreche +1
In a variety of systems which exhibit aging, the two-time response function scales as . We argue that dynamical scaling can be extended towards confo…
Anisotropic scaling and generalized conformal invariance at Lifshitz points
Michel Pleimling, Malte Henkel
The behaviour of the 3D axial next-nearest neighbour Ising (ANNNI) model at the uniaxial Lifshitz point is studied using Monte Carlo techniques. A new variant of the Wolff cluster…
SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
Malte Henkel
The extension of strongly anisotropic or dynamical scaling to local scale invariance is investigated. For the special case of an anisotropy or dynamical exponent , the group…
Boundary-Induced Phase Transitions in Equilibrium and Non-Equilibrium Systems
Malte Henkel, Gunter Schütz
Boundary conditions may change the phase diagram of non-equilibrium statistical systems like the one-dimensional asymmetric simple exclusion process with and without particle numbe…
Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
Francisco C. Alcaraz, Michel Droz, Malte Henkel +1
The master equation describing non-equilibrium one-dimensional problems like diffusion limited reactions or critical dynamics of classical spin systems can be written as a Schrödin…
On the Two-Point Correlation Function in Dynamical Scaling and SCHRÖdinger Invariance
Malte Henkel
The extension of dynamical scaling to local, space-time dependent rescaling factors is investigated. For a dynamical exponent , the corresponding invariance group is the Schrö…