Vol. 145 (June 2007)

Nodal Patterns in Physics and Mathematics

Wittenberg, Germany, July 24-28, 2006

Free access Foreword Preface    p. V U. Smilansky and H.-J. Stöckmann Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00142-7 Abstract PDF (473.9 KB)

Chladni's clavicylinder and some imitations    p. 3 B. Heise Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00143-6 Abstract PDF (2.516 MB)

Chladni meets Napoleon    p. 15 H.-J. Stöckmann Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00144-5 Abstract PDF (1.001 MB)

Life and work of E.F.F. Chladni    p. 25 D. Ullmann Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00145-4 Abstract PDF (1.344 MB)

Experiments with twisted light - Some of the mechanical and quantum-mechanical properties of optical vortices    p. 35 J. Courtial and K. O'Holleran Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00146-3 Abstract PDF (1.410 MB)

Optical scar in a chaotic fiber    p. 49 V. Doya, O. Legrand, C. Michel and F. Mortessagne Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00147-2 Abstract PDF (1.413 MB)

Nodal patterns in the seismic response of sedimentary valleys    p. 63 J. Flores Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00148-1 Abstract PDF (6.003 MB)

The violin: Chladni patterns, plates, shells and sounds    p. 77 C. Gough Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00149-0 Abstract PDF (2.731 MB)

Wave functions, nodal domains, flow, and vortices in open microwave systems    p. 103 U. Kuhl Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00150-7 Abstract PDF (3.922 MB)

Nodal patterns of floaters in surface waves    p. 125 S. Lukaschuk, P. Denissenko and G. Falkovich Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00151-6 Abstract PDF (1.209 MB)

Random waves in the brain: Symmetries and defect generation in the visual cortex    p. 137 M. Schnabel, M. Kaschube, S. Löwel and F. Wolf Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00152-5 Abstract PDF (2.279 MB)

Random waves and more: Eigenfunctions in chaotic and mixed systems    p. 161 A. Bäcker Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00153-4 Abstract PDF (1.602 MB)

Resolving the isospectrality of the dihedral graphs by counting nodal domains    p. 171 R. Band and U. Smilansky Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00154-3 Abstract PDF (369.6 KB)

Nodal sets in mathematical physics    p. 181 J. Brüning Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00155-2 Abstract PDF (135.1 KB)

Nodal densities of planar gaussian random waves    p. 191 M.R. Dennis Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00156-1 Abstract PDF (689.4 KB)

Nodal lines in turbulence    p. 211 G. Falkovich Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00157-0 Abstract PDF (235.8 KB)

A trace formula for the nodal count sequence - Towards counting the shape of separable drums    p. 217 S. Gnutzmann, P. Karageorge and U. Smilansky Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00158-y Abstract PDF (261.0 KB)

Statistical properties of chaotic wavefunctions in two and more dimensions    p. 231 E.J. Heller and B. Landry Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00159-x Abstract PDF (436.0 KB)

Chladni figures in Andreev billiards    p. 245 F. Libisch, S. Rotter and J. Burgdörfer Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00160-5 Abstract PDF (2.146 MB)

Random wave functions with boundary and normalization constraints - Quantum statistical physics meets quantum chaos    p. 255 J.D. Urbina and K. Richter Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00161-4 Abstract PDF (213.3 KB)

Nodal lines, ergodicity and complex numbers    p. 271 S. Zelditch Published online: 26 June 2007 DOI: 10.1140/epjst/e2007-00162-3 Abstract PDF (215.2 KB)