The Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the product integral solution of a first-order ... Magnus approach and its... · Magnus expansion formula

The Magnus expansion, a specific infinite Lie series, was introduced by Wilhelm Magnus in 1954. His work tackled a fundamental question in applied mathematics: ...

27 дек. 2023 г. · The Magnus expansion, introduced by Wilhelm Magnus in 1954, is an infinite Lie series employed to express solutions for first-order homogeneous linear ...

In this thesis, we will state Magnus' theorem and it's proof. We will compute the Magnus Expansion for some simple examples, and compare the solutions with the ...

30 окт. 2008 г. · The Magnus expansion furnishes an elegant setting to built up approximate exponential representations of the solution of the system.

At the heart of the Magnus expansion is the idea of solving Eq. (3) by using the quantum propagator U(t, t0) that connects wave functions at different times, ...

The Magnus expansion. Numerical integrators based on Magnus expansion. Some properties of Magnus expansion. If A(t) belongs to some Lie algebra g, then Ω(t) ...

The Magnus expansion furnishes an elegant setting to build up approximate exponential representations of the solution of the system.

16 июн. 2010 г. · Here we present the Magnus expansion (ME) [1]: a systematic way to build approximations to the time-dependent Schrödinger equation in such a ...