Scattering theory from microscopic first principles

Abstract

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.

To appear in Physica A, May 2000

References in corpus (2)

• Quantum Equilibrium and the Origin of Absolute Uncertainty
• The Flux-Across-Surfaces Theorem for a Point Interaction Hamiltonian

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• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
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• Mass and Spin Renormalization in Lorentz Electrodynamics
• The Quantum Formalism and the GRW Formalism
• Noncommutative quantum mechanics and Bohm's ontological interpretation
• Flux-Across-Surfaces Theorem for a Dirac Particle
• A microscopic derivation of the quantum mechanical formal scattering cross section
• Wavepacket approach to particle diffraction by thin targets: Quantum trajectories and arrival times
• The Flux-Across-Surfaces Theorem under conditions on the scattering state
• Scattering and radiation damping in gyroscopic Lorentz electrodynamic