2019/06/27 by Daniel Bedingham, Bedingham, Daniel, Philip Pearle +1 · 4 citations
Computer Science · Physics and Astronomy · #81P05 #81Q05 #81Q65 #Cosmology and Gravitation Theories #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #msc:81P05 #msc:81Q05 #msc:81Q65 #quant-ph
paper · pdf · doi:10.48550/arxiv.1906.11510
18 pages, no figures
arxiv created 2019/06/27 · openalex publication_date 2019/06/27 · arxiv updated 2019/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The CSL dynamical collapse structure, adapted to the relativistically invariant model where the collapse-generating operator is a one-dimensional scalar field ϕ(x,t) (mass m) is discussed. A complete solution for the density matrix is given, for an initial state |ψ,0⟩=(1)/(√(2))[|L⟩+|R⟩] when the Hamiltonian H is set equal to 0, and when H is the free field Hamiltonian. Here |L⟩, |R⟩ are coherent states which represent clumps of particles, with mean particle number density Nχi2(x), where χ1(x),χ1(x) are gaussians of width σ>>m-1 with mean positions separated by distance >>σ. It is shown that, with high probability, the solution for H=0 (identical to the short time solution for H≠ 0) favors collapse toward eigenstates of the scalar field whose eigenvalues are close to ∼χi(x). Thus, this collapse dynamics results in essentially one clump of particles. However, eventually particle production dominates the density matrix since, as is well known, the collapse generates energy/sec-volume of every particle momentum in equal amounts. Because of the particle production, this is not an experimentally viable physical theory but, as is emphasized by the discussion, it is a sound relativistic collapse model, with sensible collapse behavior.