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AHARONOV-BOHM RING ...
AHARONOV-BOHM RING TOUCHING A QUANTUM WIRE : HOW TO MODEL IT AND TO SOLVE THE INVERSE PROBLEM
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- Kurasov, Pavel (author)
- Lund University,Lunds universitet,Stockholms universitet,Matematiska institutionen,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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Enerback, Magnus (author)
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(creator_code:org_t)
- 2011
- 2011
- English.
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In: Reports on mathematical physics. - 0034-4877 .- 1879-0674. ; 68:3, s. 271-287
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Abstract
Subject headings
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- An explicitly solvable model of the gated Aharonov-Bohm ring touching a quantum wire is constructed and investigated. The inverse spectral and scattering problems are discussed. It is shown that the Titchmarsh-Weyl matrix function associated with the boundary vertices determines a unique electric potential on the graph even though the graph contains a loop. This system gives another family of isospectral quantum graphs.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- quantum graphs
- inverse problems
- quantum graphs
- inverse problems
Publication and Content Type
- ref (subject category)
- art (subject category)
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