Scattering Theory from Microscopic Rst Principles
نویسندگان
چکیده
We sketch a derivation of abstract scattering theory from the microscopic rst principles deened by Bohmian mechanics. We emphasize the importance of the ux-across-surfaces theorem for the derivation, and of randomness in the impact parameter of the initial wave function|even for an, inevitably inadequate, orthodox derivation. 1 Dedicated to Joel Lebowitz, with love and admiration, for his 70th birthday.
منابع مشابه
Scattering theory from microscopic first principles
We sketch a derivation of abstract scattering theory from the microscopic first principles defined by Bohmian mechanics. We emphasize the importance of the flux-across-surfaces theorem for the derivation, and of randomness in the impact parameter of the initial wave function—even for an, inevitably inadequate, orthodox derivation. Dedicated to Joel Lebowitz, with love and admiration, for his 70...
متن کاملA Microscopic Derivation of the Quantum Mechanical Formal Scattering Cross Section
We prove that the empirical distribution of crossings of a “detector” surface by scattered particles converges in appropriate limits to the scattering cross section computed by stationary scattering theory. Our result, which is based on Bohmian mechanics and the flux-across-surfaces theorem, is the first derivation of the cross section starting from first microscopic principles.
متن کاملStructure and dynamics from combined neutron scattering and ®rst-principles studies
Using combined ®rst-principles and neutron-scattering techniques, we have studied the structural and dynamical properties of several materials including solid cubane and protonic-conducting oxides. The measured lattice parameters, atomic positions, and vibrational densities-of-states are compared with those obtained from ®rst-principles calculations. In most cases, good agreement was obtained, ...
متن کاملFirst-principles dynamics of electrons and phonons
First-principles calculations combining density functional theory and many-body perturbation theory can provide microscopic insight into the dynamics of electrons and phonons in materials. We review this theoretical and computational framework, focusing on perturbative treatments of scattering, dynamics and transport of coupled electrons and phonons. We discuss application of these first-princi...
متن کاملMicroscopic Optical Potentials for Elastic Nucleon-Nucleus Scattering
The theoretical approach to the elastic scattering of a nucleon from a nucleus, pioneered by Watson [1], made familiar by Kerman, McManus, and Thaler (KMT) [2] and further developed as the spectator expansion [3, 4, 5, 6] is now being applied with striking success. In a similar vein, a slightly di erent approach to the multiple scattering expansion within the KMT framework is being pursued by t...
متن کامل