Schulz-Baldes H (2016)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2016
Publisher: Springer Verlag (Germany)
City/Town: to appear in
Book Volume: 106
Pages Range: 485-507
Journal Issue: 4
URI: http://link.springer.com/article/10.1007/s11005-016-0825-y
DOI: 10.1007/s11005-016-0825-y
For a scattering problem of tight-binding Bloch electrons by a weak random surface potential, a generalized Levinson theorem is put forward showing the equality of the total density of surface states and the density of the total time delay. The proof uses explicit formulas for the wave operators in the new rescaled energy and interaction (REI) representation, as well as an index theorem for adequate associated operator algebras.
APA:
Schulz-Baldes, H. (2016). The density of surface states as the total time delay. Letters in Mathematical Physics, 106(4), 485-507. https://dx.doi.org/10.1007/s11005-016-0825-y
MLA:
Schulz-Baldes, Hermann. "The density of surface states as the total time delay." Letters in Mathematical Physics 106.4 (2016): 485-507.
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