We discuss spectral and scattering theory of the discrete laplacian limited to a half-space. The interesting properties of such operators stem from the imposed boundary condition and are related to certain phenomena in surface physics.
@incollection{JEDP_2001____A8_0,
author = {Jak\v{s}i\'c, Vojkan},
title = {Spectral theory of corrugated surfaces},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {8},
pages = {1--11},
year = {2001},
publisher = {Universit\'e de Nantes},
doi = {10.5802/jedp.592},
mrnumber = {1843409},
zbl = {1029.39021},
language = {en},
url = {https://www.numdam.org/articles/10.5802/jedp.592/}
}
Jakšić, Vojkan. Spectral theory of corrugated surfaces. Journées équations aux dérivées partielles (2001), article no. 8, 11 p.. doi: 10.5802/jedp.592
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