On Time-Splitting Spectral Approximations for the Schrödinger Equation in the Semiclassical Regime

Microlocal defect measures

Patrick Gérard · Communications in Partial Differential Equations · 1991 · 521 citations

Natural Sciences, Mathematics, Differential Equations +11

Homogenization limits and Wigner transforms

Patrick G�rard, Peter A. Markowich, Norbert J. Mauser et al. · Communications on Pure and Applied Mathematics · 1997 · 518 citations

Natural Sciences, Mathematics, Physics +13

H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations

Luc Tartar · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1990 · 417 citations

Natural Sciences, Mathematics, Physics +12

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

Weizhu Bao, Shi Jin, Peter A. Markowich · SIAM Journal on Scientific Computing · 2003 · 231 citations

Natural Sciences, Mathematics, Physics +13

Quantum hydrodynamics, Wigner transforms, the classical limit

Ingenuin Gasser, Peter A. Markowich · Asymptotic Analysis · 1997 · 148 citations

Natural Sciences, Mathematics, Physics +11