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Chaotic evolution in quantum mechanics

1995/08/11 by Asher Peres · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Basis (linear algebra) #Chaotic #Classical mechanics #Computer science #Exponential growth #Function (biology) #Mathematics #Nonlinear Dynamics and Pattern Formation #Orthonormal basis #Physics #Protein Structure and Dynamics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Representation (politics) #Statistical physics #Time evolution #Wave function #chao-dyn #nlin.CD

paper · pdf · doi:10.1103/physreve.53.4524

8 pages (LaTeX 16 kB, followed by PostScript 2 kB for figure)

arxiv created 1995/08/11 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A quantum system is described whose wave function has a complexity that increases exponentially with time. Namely, for any fixed orthonormal basis, the number of components required for an accurate representation of the wave function increases exponentially.

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