Symbolic Computation of Wave Invariants and Heat Invariants on Flat Tori

Berg, Tillmann

2018-03-23Software

Mathematisch-Naturwissenschaftliche Fakultät

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.

Files in this item

Berg_Wave-Invariants-on-Flat-Tori_WaveInvariants.nb — Wolfram Notebook file — 848.3 Kb

Mathematica notebook to symbolically compute the first five wave invariants

MD5: 21e712e3693c378ed1c43533d13464f7

Berg_Wave-Invariants-on-Flat-Tori_HeatInvariants.nb — Wolfram Notebook file — 145.7 Kb

Mathematica notebook to symbolically compute the first five heat invariants

MD5: ea23657d382bc9ff1d7bcd3e19578d7d

Notes

Part of my dissertation on Wave Invariants on Flat Tori.

References

Is Part Of: https://doi.org/10.18452/19123

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