Construction and validation of a rigorous surface hopping algorithm for conical crossing

DOI10.4310/CMS.2007.v5.n4.a3zbMath1136.65094MaRDI QIDQ2477135

Caroline Lasser, Torben Swart, Stefan Teufel

Publication date: 13 March 2008

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cms/1199377551

zbMATH Keywords

numerical examplesWigner functioneigenvalue crossingJahn-Teller Hamiltonianstime-dependent Schrödinger systemtrajectory surface hopping algorithm

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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