Concept
Creation and annihilation operators
Publications associées (51)
The Allen-Cahn equation with generic initial datum
We consider the Allen-Cahn equation ?(t)u - ?u = u - u(3) with a rapidly mixing Gaussian field as initial condition. We show that provided that the amplitude of the initial condition is not too large, the equation generates fronts described by nodal sets o ...
SPRINGER HEIDELBERG2023SCCER-FURIES - Best investment strategies when prosumer capacities are increased in the grid (RE Demo) - D1.4.1b
François Maréchal, Luc Girardin, Luise Middelhauve, Ermanno Lo Cascio
Political authorities, energy operators and other stakeholders have the responsibility to implement energy transition pathways by increasing decentralised renewable energy generation. As the main stakeholder, authorities often lack the appropriate tools to ...
2021Implications of ANEC for SCFTs in four dimensions
Andrea Manenti, Alessandro Vichi
We explore consequences of the Averaged Null Energy Condition (ANEC) for scaling dimensions Delta of operators in four-dimensional N = 1 superconformal field theories. We show that in many cases the ANEC bounds are stronger than the corresponding unitarity ...
SPRINGER2020Momentum space CFT correlators for Hamiltonian truncation
We consider Lorentzian CFT Wightman functions in momentum space. In particular, we derive a set of reference formulas for computing two- and three-point functions, restricting our attention to three-point functions where the middle operator (corresponding ...
2020Differential operators for superconformal correlation functions
We present a systematic method to expand in components four dimensional superconformal multiplets. The results cover all possible N = 1 multiplets and some cases of interest for N = 2. As an application of the formalism we prove that certain N = 2 spinning ...
2020Harmonic analysis and mean field theory
We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introduce two efficient methods for computing these quantities: one based on weigh ...
Springer2019Atom-density representations for machine learning
Michele Ceriotti, Félix Benedito Clément Musil, Michael John Willatt
This has led to a proliferation of alternative ways to convert an atomic structure into an input for a machine-learning model. We introduce an abstract definition of chemical environments that is based on a smoothed atomic density, using a bra-ket notation ...
2019Spinning operators and defects in conformal field theory
We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic representation of the Loren ...
Springer2019Nonlinear Gyrokinetic Coulomb Collision Operator
Paolo Ricci, Rogério Manuel Cabete De Jesus Jorge, Baptiste Jimmy Frei
A gyrokinetic Coulomb collision operator is derived, which is particularly useful to describe the plasma dynamics at the periphery region of magnetic confinement fusion devices. The derived operator is able to describe collisions occurring in distribution ...
2019