101 citations · 339 across the 25 of their papers we have counts for
8 papers · 1 filter
Variational Gaussian approximation for the magnetic Schrödinger equation
Selina Burkhard, Benjamin Dörich, Marlis Hochbruck +1
In the present paper we consider the semiclassical magnetic Schrödinger equation, which describes the dynamics of particles under the influence of a magnetic field. The solution of…
An Error Bound for the Time-Sliced Thawed Gaussian Propagation Method
Paul Bergold, Caroline Lasser
We study the time-sliced thawed Gaussian propagation method, which was recently proposed for solving the time-dependent Schrödinger equation. We introduce a triplet of quadrature-b…
The Gaussian Wave Packet Transform via Quadrature Rules
Paul Bergold, Caroline Lasser
We analyse the Gaussian wave packet transform. Based on the Fourier inversion formula and a partition of unity, which is formed by a collection of Gaussian basis functions, a new r…
Computing quantum dynamics in the semiclassical regime
Caroline Lasser, Christian Lubich
The semiclassically scaled time-dependent multi-particle Schrödinger equation describes, inter alia, quantum dynamics of nuclei in a molecule. It poses the combined computational c…
Discretising the Herman--Kluk Propagator
Caroline Lasser, David Sattlegger
The Herman--Kluk propagator is a popular semi-classical approximation of the unitary evolution operator in quantum molecular dynamics. In this paper we formulate the Herman--Kluk p…
Symmetric Kronecker products and semiclassical wave packets
George A. Hagedorn, Caroline Lasser
We investigate the iterated Kronecker product of a square matrix with itself and prove an invariance property for symmetric subspaces. This motivates the definition of an iterated…