Literature DB >> 24344347

Complex patterns in wave functions: drums, graphs and disorder.

Sven Gnutzmann1, Uzy Smilansky.   

Abstract

Year:  2013        PMID: 24344347      PMCID: PMC3866474          DOI: 10.1098/rsta.2013.0264

Source DB:  PubMed          Journal:  Philos Trans A Math Phys Eng Sci        ISSN: 1364-503X            Impact factor:   4.226


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  12 in total

1.  Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions.

Authors:  Gregory Berkolaiko; Tracy Weyand
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

2.  Freezing transitions and extreme values: random matrix theory, ζ (1/2 + it) and disordered landscapes.

Authors:  Yan V Fyodorov; Jonathan P Keating
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

3.  The nodal count {0,1,2,3,...} implies the graph is a tree.

Authors:  Ram Band
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

4.  Quantum ergodicity of random orthonormal bases of spaces of high dimension.

Authors:  Steve Zelditch
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

5.  Nonlinear Schrödinger equation on graphs: recent results and open problems.

Authors:  Diego Noja
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

6.  Calculation of multi-fractal dimensions in spin chains.

Authors:  Y Y Atas; E Bogomolny
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

7.  Neumann nodal domains.

Authors:  Ross B McDonald; Stephen A Fulling
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

8.  Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions.

Authors:  Sven Gnutzmann; Stylianos Lois
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

9.  Spectral statistics of permutation matrices.

Authors:  Idan Oren; Uzy Smilansky
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

10.  Statistics of Gaussian packets on metric and decorated graphs.

Authors:  V L Chernyshev; A I Shafarevich
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226

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