On the Floquet-Magnus expansion: applications in solid-state nuclear magnetic resonance and physics
DOI10.1016/j.physrep.2015.10.005zbMath1357.81114OpenAlexW2519337660WikidataQ107390673 ScholiaQ107390673MaRDI QIDQ517087
Thibault Charpentier, Eugene Stephane Mananga
Publication date: 16 March 2017
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physrep.2015.10.005
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High order optimized geometric integrators for linear differential equations
- A comparison of different propagation schemes for the time dependent Schrödinger equation
- Convergence of the Magnus series
- Diffusive energy growth in classical and quantum driven oscillators
- Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
- Orthosymplectic integration of linear Hamiltonian systems
- Floquet spectrum for two-level systems in quasiperiodic time-dependent fields
- Improved high order integrators based on the Magnus expansion
- Applications of the Cayley approach in the numerical solution of matrix differential systems on quadratic groups
- Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations.
- A fourth-order Magnus scheme for Helmholtz equation
- Nonperturbative methods for the study of multiphoton dynamics in intense periodic and multi-color laser fields
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Floquet theory: exponential perturbative treatment
- From time-ordered products to Magnus expansion
- Convergence of the exponential Lie series
- Numerical integration of the differential matrix Riccati equation
- A Resolution Method for Riccati Differential Systems Coupled in Their Quadratic Terms
- Isospectral Flows and Abstract Matrix Factorizations
- The Magnus expansion for classical Hamiltonian systems
- Numerical Integration of the Differential Riccati Equation and Some Related Issues
- Nineteen Dubious Ways to Compute the Exponential of a Matrix
- On the solution of linear differential equations in Lie groups
- A Natural Approach to the Numerical Integration of Riccati Differential Equations
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Symbolic dynamics and periodic orbits of the Lorenz attractor*
- Decomposition of time-ordered products and path-ordered exponentials
- An Introduction to Numerical Analysis
- Magnus and Fer expansions for matrix differential equations: the convergence problem
- Sufficient conditions for the convergence of the Magnus expansion
- Explicit Magnus expansions for nonlinear equations
- Exponential Operators and Parameter Differentiation in Quantum Physics
- Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations
- Nuclear Double Resonance in the Rotating Frame
- Spin Echoes
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
- An Operator Calculus Having Applications in Quantum Electrodynamics
- Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
- On Cayley-transform methods for the discretization of Lie-group equations
- Quantum field theory without infinities
- Time symmetry and high-order Magnus methods
