Quantum Dynamics of a Particle in a Tracking Chamber
Springer Science & Business Media, Oct 22, 2013 - Science - 101 pages
In the original formulation of quantum mechanics the existence of a precise border between a microscopic world, governed by quantum mechanics, and a macroscopic world, described by classical mechanics was assumed. Modern theoretical and experimental physics has moved that border several times, carefully investigating its definition and making available to observation larger and larger quantum systems. The present book examines a paradigmatic case of the transition from quantum to classical behavior: A quantum particle is revealed in a tracking chamber as a trajectory obeying the laws of classical mechanics. The authors provide here a purely quantum-mechanical description of this behavior, thus helping to illuminate the nature of the border between the quantum and the classical.
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a-particle amplitude analysis analyze apparatus assume assumptions asymptotic expansion atoms classical behavior cloud chamber collision computation coordinates Copenhagen interpretation corresponding decoherence defined denote described detailed different from zero domain Duhamel's formula eigenfunctions eigenvalue electron energy estimate explicit explicitly Figari formula free evolution given harmonic oscillator heavy particle Heisenberg initial ionization probability leading term Lemma linear matrix matrix mechanics measurement process microscopic system model-atom molecules momentum direction Mott Mott’s notation observed obtain operator oscillatory integral perturbation Phys point interaction Hamiltonian point scatterers position and momentum problem proof propagation Quantum Dynamics quantum environment quantum measurement quantum mechanics quantum particle quantum system quantum theory reduced relevant result scattering centers Schrödinger equation self-adjoint extensions solution Solvay Conference space specific spherical wave spin configuration SpringerBriefs in Physics superposition Teta time-dependent Tracking Chamber vector wave function wave mechanics wave packet