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.
Vojkan Jakšić. Spectral theory of corrugated surfaces. Journées équations aux dérivées partielles (2001), article no. 8, 11 p.. doi: 10.5802/jedp.592
@incollection{JEDP_2001____A8_0,
author = {Vojkan Jak\v{s}i\'c},
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},
zbl = {1029.39021},
mrnumber = {1843409},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.592/}
}
TY - JOUR AU - Vojkan Jakšić TI - Spectral theory of corrugated surfaces JO - Journées équations aux dérivées partielles PY - 2001 SP - 1 EP - 11 PB - Université de Nantes UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.592/ DO - 10.5802/jedp.592 LA - en ID - JEDP_2001____A8_0 ER -
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