On the complexity of the positron’s dynamics in a short carbon nanotube: a full explanation of the rainbow effect

[1]  Y. Takabayashi,et al.  Classical patterns in the quantum rainbow channeling of high energy electrons , 2021 .

[2]  P. L. Grande,et al.  Unraveling energy loss processes of low energy heavy ions in 2D materials , 2019, Communications Physics.

[3]  M. Ćosić,et al.  Superfocusing and zero-degree focusing in planar channeling of protons in a thin silicon crystal , 2019, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms.

[4]  S. Petrović,et al.  Quantum Rainbows in Positron Transmission through Carbon Nanotubes , 2019, Atoms.

[5]  Y. Takabayashi,et al.  First observation of scattering of sub-GeV electrons in ultrathin Si crystal at planar alignment and its relevance to crystal-assisted 1D rainbow scattering , 2018, Physics Letters B.

[6]  M. Motapothula,et al.  Experimental evidence of the superfocusing effect for axially channeled MeV protons , 2016 .

[7]  M. Ćosić,et al.  Quantum primary rainbows in transmission of positrons through very short carbon nanotubes , 2016 .

[8]  M. Breese,et al.  Proton-silicon interaction potential extracted from high-resolution measurements of crystal rainbows , 2015 .

[9]  M. Ćosić,et al.  Computational method for the long time propagation of quantum channeled particles in crystals and carbon nanotubes , 2014 .

[10]  S. Petrović,et al.  Quantum rainbow characterization of short chiral carbon nanotubes , 2014 .

[11]  S. Petrović,et al.  Quantum rainbow channeling of positrons in very short carbon nanotubes , 2013 .

[12]  D. Borka,et al.  Channeling of Protons Through Carbon Nanotubes , 2011, 1111.1905.

[13]  Nikolay V. Kuznetsov,et al.  Time-Varying Linearization and the Perron Effects , 2007, Int. J. Bifurc. Chaos.

[14]  F. Haake,et al.  Periodic-orbit theory of level correlations. , 2006, Physical review letters.

[15]  X. Artru,et al.  Carbon nanotubes and fullerites in high-energy and X-ray physics , 2005 .

[16]  D. Borka,et al.  Rainbows in transmission of high energy protons through carbon nanotubes , 2005 .

[17]  C. A. Hobbs,et al.  An adaptive contour code for the numerical evaluation of the oscillatory cuspoid canonical integrals and their derivatives , 2000 .

[18]  Fischer,et al.  Quantized phonon spectrum of single-wall carbon nanotubes , 2000, Science.

[19]  David L. Shapiro,et al.  On the Psychology of , 1996 .

[20]  Murray Gell-Mann,et al.  What is complexity? Remarks on simplicity and complexity by the Nobel Prize-winning author of The Quark and the Jaguar , 1995, Complex..

[21]  Seth Lloyd,et al.  Effective Complexity , 1995 .

[22]  Henry P. Stapp,et al.  The Undivided Universe: An ontological interpretation of Quantum Theory , 1994 .

[23]  M. Mitchell Waldrop,et al.  Complexity : the emerging science and the edge of order and chaos , 1992 .

[24]  Westervelt,et al.  Predicted power laws for delayed switching of charge-density waves. , 1989, Physical Review B (Condensed Matter).

[25]  Mw Hirsch,et al.  Chaos In Dynamical Systems , 2016 .

[26]  Eric J. Heller,et al.  Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits , 1984 .

[27]  G. Benettin,et al.  Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application , 1980 .

[28]  G. Benettin,et al.  Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory , 1980 .

[29]  A. Vehanen,et al.  Introduction to Positron Annihilation , 1979 .

[30]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[31]  M. Berry,et al.  Level clustering in the regular spectrum , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[32]  Donald S. Gemmell,et al.  Channeling and related effects in the motion of charged particles through crystals , 1974 .

[33]  Michael V Berry,et al.  Semiclassical approximations in wave mechanics , 1972 .

[34]  R. F. Peierls,et al.  General expression for the density effect for the ionization loss of charged particles , 1971 .

[35]  S. Kauffman Metabolic stability and epigenesis in randomly constructed genetic nets. , 1969, Journal of theoretical biology.

[36]  B. Appleton,et al.  Channeling Effects in the Energy Loss of 3-11-MeV Protons in Silicon and Germanium Single Crystals , 1967 .

[37]  J. Lindhard,et al.  INFLUENCE OF CRYSTAL LATTICE ON MOTION OF ENERGETIC CHARGED PARTICLES. , 1965 .

[38]  G. Leibfried,et al.  Higher order momentum approximations in classical collision theory , 1963 .

[39]  H. Bateman,et al.  The Structure of an Electromagnetic Field. , 1918, Proceedings of the National Academy of Sciences of the United States of America.

[40]  S. Lawomir,et al.  Quantum Maps , 2022 .