Hagedorn wavepackets and Schrödinger equation with time-dependent, homogeneous magnetic field
From MaRDI portal
Publication:2133014
DOI10.1016/J.JCP.2021.110581OpenAlexW3183863301MaRDI QIDQ2133014
Oliver Rietmann, Vasile Gradinaru
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110581
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General mathematical topics and methods in quantum theory (81Qxx)
Cites Work
- Unnamed Item
- Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets
- Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems
- Raising and lowering operators for semiclassical wave packets
- Splitting methods for the time-dependent Schrödinger equation
- Processing symplectic methods for near-integrable Hamiltonian systems
- Composition methods in the presence of small parameters
- A high-order integrator for the Schrödinger equation with time-dependent, homogeneous magnetic field
- High order efficient splittings for the semiclassical time-dependent Schrödinger equation
- Convergence of a semiclassical wavepacket based time-splitting for the Schrödinger equation
- A Concise Introduction to Geometric Numerical Integration
- Geometric Numerical Integration
- Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets
- Composition constants for raising the orders of unconventional schemes for ordinary differential equations
- Quantum Theory for Mathematicians
- On the Construction and Comparison of Difference Schemes
- On the exponential solution of differential equations for a linear operator
This page was built for publication: Hagedorn wavepackets and Schrödinger equation with time-dependent, homogeneous magnetic field
