Physical Reality and Mathematical Description

I : Art, History and Philosophy.- Science and Art.- Léonard de Vinci et l'hydrodynamique.- Our knowledge of the external world.- Geometrie and Physik.- Quantum physics and process metaphysics.- What happened to our elementary particles? (Variations on a theme of Jauch).- Partons-elementary constituents of the proton?.- Is the zero-point energy real?.- Reflections on “Fundamentality and complexity”.- II : Mathematical Physics.- Weights on spaces.- A second look at the essential selfadjointness of the Schrödinger operators.- Some absolutely continuous operators.- A remark on the Kochen-Specker theorem.- Die Heisenberg-Weyl'schen Vertauschungsrelationen: Zum Beweis des von Neumannschen Satzes.- Real versus complex representations and linear-antilinear commutant.- III: Scattering Theory and Field Theory.- Approche algébrique de la théoree non-relativiste de la diffusion á canaux multiples.- Fourier scattering subspaces.- N-Particle scattering rates.- Cross sections in the quantum theory of scattering.- On long-range potentials.- Phenomenological aspects of localizability.- Charge distributions from relativistic form factors.- Charges and currents in the Thirring model.- The nonlocal nature of electromagnetic interactions.- Le modèle des champs de jauge unifíes.- Is anti-gravitation possible?.- IV : Quantum Theory and Statistical Mechanics.- On a new definition of quantal states.- The minimal K-flow associated to a quantum diffusion process.- Composite particles in many-body theory.- On the quantum analogue of the Lévy distribution.- Existence and bounds for critical energies of the Hartree operator.- Long range ordering in one-component Coulomb systems.- A scale group for Bolt zmann-type equations.- Effect of a non-resonant electromagnetic field on thefrequencies of a nuclear magnetic moment system.