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- W2913705939 abstract "We present an integral formulation of the vacuum energy of Schrodinger operators on finite metric graphs. Local vertex matching conditions on the graph are classified according to the general scheme of Kostrykin and Schrader. While the vacuum energy of the graph can contain finite ambiguities the Casimir force on a bond with compactly supported potential is well defined. The vacuum energy is determined from the zeta function of the graph Schrodinger operator which is derived from an appropriate secular equation via the argument principle. A quantum graph has an associated probabilistic classical dynamics which is generically both ergodic and mixing. The results therefore present an analytic formulation of the vacuum energy of this quasi-one-dimensional quantum system which is classically chaotic." @default.
- W2913705939 created "2019-02-21" @default.
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- W2913705939 date "2012-01-18" @default.
- W2913705939 modified "2023-09-27" @default.
- W2913705939 title "Vacuum energy of Schr" @default.
- W2913705939 hasPublicationYear "2012" @default.
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