Avoided intersections of nodal lines

DOI10.1088/0305-4470/36/7/304zbMath1066.81004arXivnlin/0212006OpenAlexW2127048048WikidataQ62596115 ScholiaQ62596115MaRDI QIDQ4465845

Uzy Smilansky, A. G. Monastra, Sven Gnutzmann

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0212006

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (8)

Some applications of heat flow to Laplace eigenfunctions ⋮ Lower Bounds on Nodal Sets of Eigenfunctions via the Heat Flow ⋮ Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions ⋮ Neumann nodal domains ⋮ Universal statistics of vortex tangles in three-dimensional random waves ⋮ A nodal domain theorem for integrable billiards in two dimensions ⋮ THE VOLUME OF A LOCAL NODAL DOMAIN ⋮ A random wave model for the Aharonov–Bohm effect

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