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Tag: <span>hydrogen</span>
Home Posts tagged "hydrogen"

Tag: hydrogen

The Hydrogen Relation
discrete geometry, Graph theory

The Hydrogen Relation

By oliverknill March 4, 2018 March 7, 2018  graphs, hydrogen, simplicial complexes, spectral radius

For a one-dimensional simplicial complex, the sign less Hodge operator can be written as L-g, where g is the inverse of L. This leads to a Laplace equation shows solutions are given by a two-sided random walk.

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The Hydrogen trace of a complex
Graph theory, quantum calculus

The Hydrogen trace of a complex

By oliverknill May 21, 2017 May 29, 2017  eigenvalues, hydrogen, spectrum, trace

Motivated by the Hamiltonian of the Hydrogen atom, we can look at an anlogue operator for finite geometries and study the spectrum. There is an open conjecture about the trace of this operator.

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