Year: 2012
Type: preprint
Abstract: We consider a quantum graph where the operator contains a potential. We show that this operator admits a heat kernel. Under some assumptions on the potential, this heat kernel admits an asymptotic expansion at t=0 with coefficients that depend on the potential in a universal way. These coefficients are spectral invariants, we compute the first few of them.
Source: arXiv (Cornell University)
Author: Rueckriemen, Ralf
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2226369708