1996/04/21 by L. P. Horwitz, Jacob Levitan, J. Levitan +2 · 7 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Context (archaeology) #Correlation function (quantum field theory) #Degeneracy (biology) #Degenerate energy levels #Function (biology) #Geology #Geometry #Mathematics #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Quantum optics and atomic interactions #Quantum tunnelling #Simple (philosophy) #Statistical physics #Symmetry (geometry) #chao-dyn #cond-mat #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreve.55.3697
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 55(3), 3697-3700 (American Physical Society) · 9 revtex pages, 6 Postscript figures (uuencoded)
arxiv created 1996/04/21 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is demonstrated in the context of the simple one-dimensional example of a barrier in an infinite well that highly complex behavior of the time evolution of a wave function is associated with the near degeneracy of levels in the process of tunneling. Degenerate conditions are obtained by shifting the position of the barrier. The complexity strength depends on the number of almost degenerate levels which depend on geometrical symmetry. The presence of complex behavior is studied to establish correlation with spectral degeneracy.