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Published April 2018 | Version Published + Submitted
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Trace formulas for Schrödinger operators on star graphs

Creators

  • 1. ROR icon California Institute of Technology

Abstract

We derive trace formulas of the Buslaev–Faddeev type for quantum star graphs. One of the new ingredients is high energy asymptotics of the perturbation determinant.

Additional Information

© 2016 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Received: 21 February 2016; Accepted: 07 December 2016; First Online: 31 December 2016.

Attached Files

Published - 10.1007_2Fs13373-016-0097-y.pdf

Submitted - 1510.08408.pdf

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10.1007_2Fs13373-016-0097-y.pdf

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Additional details

Identifiers

Eprint ID
78211
Resolver ID
CaltechAUTHORS:20170614-125957633

Related works

Describes
https://arxiv.org/abs/1510.08408 (URL)

Dates

Created
2017-06-14
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department