Quasiclassical Methods

The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with h-pseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb- Thirring inequalities for the Pauli operator, and local trace formulae.

Inhalt
Tutorial Overviews.- h-pseudodifferential operators and applications: An introduction.- Semi-classical methods with emphasis on coherent states.- Workshop Research Papers.- Approximative theories for large Coulomb systems.- Semiclassical analysis for the Schrödinger operator with magnetic wells (after R. Montgomery, B. Helffer-A. Mohamed).- On the asymptotic distribution of eigenvalues in gaps.- Asymptotics of the ground state energy of heavy molecules in the strong magnetic field.- Local trace formulæ.- A proof of the strong Scott conjecture.- Lieb-Thirring inequalities for the Pauli operator in three dimensions.- Exact anharmonic quantization condition (in one dimension).