TY  - BOOK
AU  - Lubich,Christian
AU  - Lubich,Christian
TI  - From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis
T2  - Zurich Lectures in Advanced Mathematics (ZLAM)
SN  - 9783037195673
PY  - 2008///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Numerical analysis
KW  - bicssc
KW  - Quantum physics (quantum mechanics)
KW  - msc
KW  - Quantum theory
N1  - Restricted to subscribers
N2  - Quantum dynamics of molecules poses a variety of computational challenges that are presently at the forefront of research efforts in numerical analysis in a number of application areas: high-dimensional partial differential equations, multiple scales, highly oscillatory solutions, and geometric structures such as symplecticity and reversibility that are favourably preserved in discretizations.     This text addresses such problems in quantum mechanics from the viewpoint of numerical analysis, illustrating them to a large extent on intermediate models between the Schrödinger equation of full many-body quantum dynamics and the Newtonian equations of classical molecular dynamics. The fruitful interplay between quantum dynamics and numerical analysis is emphasized
UR  - https://doi.org/10.4171/067
UR  - http://www.ems-ph.org/img/books/lubich_mini.jpg
ER  -