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Symbolic Computation of Wave Invariants and Heat Invariants on Flat Tori

By Tillmann Berg

Abstract

Zwei Mathematica-Notebooks zur symbolischen Berechnung der ersten fünf Welleninvarianten und ersten 14 Wärmeinvarianten von Schrödinger-Operatoren auf Schnitten nichtentarteter Hermitescher Geradenbündel über beliebigen flachen Tori gerader Dimension. Entwickelt mit Wolfram Mathematica 10.3.Two Mathematica notebooks that compute the first five wave invariants and the first 14 heat invariants of Schrödinger operators acting on sections of nondegenerate Hermitian line bundles over even-dimensional flat tori. The computation is symbolic and was developed using Wolfram Mathematica 10.3

Topics: Welleninvarianten, Wärmeinvarianten, Schrödinger-Operator, Spektralgeometrie, Symbolische Berechnung, Wave Invariants, Spectral Geometry, Schrödinger Operator, Heat Invariants, Symbolic Computation, 510 Mathematik, 516 Geometrie, 500 Naturwissenschaften und Mathematik, ddc:510, ddc:516, ddc:500
Publisher: Humboldt-Universität zu Berlin
Year: 2018
OAI identifier: oai:edoc.hu-berlin.de:18452/19705
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