2016/08/25 by Djordje Radicevic, Radicevic, Djordje · 1 citation
Chemistry · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Laser-Matter Interactions and Applications #Molecular spectroscopy and chirality #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1608.07275
openalex publication_date 2016/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents an algebraic formulation of the renormalization group flow in quantum mechanics on flat target spaces. For any interacting quantum mechanical theory, the fixed point of this flow is a theory of classical probability, not a different effective quantum mechanics. Each energy eigenstate of the UV Hamiltonian flows to a probability distribution whose entropy is a natural diagnostic of quantum ergodicity of the original state. These conclusions are supported by various examples worked out in some detail.