Title	Nevanlinna functions in the theory of amplification
Creator	Figotin, Alexander
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-10T11:23
Description	We know that the Nevanlinna (Herglotz) functions arise in physics in a fundamental way as an alternative representation of causality. We have discovered recently that they also relevant to the amplification phenomenon occurring in traveling wave tubes (TWTs). The Nevanlinna (Herglotz) functions represent there the so-called slow wave structure - a significant a component of the TWT. Though an ideal TWT system is perfectly conservative its energy functional turns out to be not positive definite. This explains the existence of exponentially growing in space eigenfunctions manifesting the amplification. The corresponding theory is intimately related to the Krein spectral theory.
Extent	36.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California at Irvine
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-04-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389770
URI	http://hdl.handle.net/2429/73943
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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