TY - JOUR
T1 - Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice
AU - Hiroshima, Fumio
AU - Muminov, Zahriddin
AU - Kuljanov, Utkir
N1 - Funding Information:
F. H. is financially supported by Grant-in-Aid for Science Research (B)16H03942 and Challenging Exploratory Research 15K13445 from JSPS. ZM and UK are partially supported by the Grant OT–F2–66 of Fundamental Science Foundation of Uzbekistan. We thank Kota Ujino for the careful reading of the manuscript and Tomoko Eto for drawing Figures –.
Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2022
Y1 - 2022
N2 - Eigenvalue behaviours of Schrödinger operator defined on n-dimensional lattice with n + 1 delta potentials are studied. It can be shown that lower threshold eigenvalue and lower threshold resonance appear for (Formula presented.), and lower super-threshold resonance appears for n = 1.
AB - Eigenvalue behaviours of Schrödinger operator defined on n-dimensional lattice with n + 1 delta potentials are studied. It can be shown that lower threshold eigenvalue and lower threshold resonance appear for (Formula presented.), and lower super-threshold resonance appears for n = 1.
UR - http://www.scopus.com/inward/record.url?scp=85083548557&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85083548557&partnerID=8YFLogxK
U2 - 10.1080/03081087.2020.1750547
DO - 10.1080/03081087.2020.1750547
M3 - Article
AN - SCOPUS:85083548557
SN - 0308-1087
VL - 70
SP - 919
EP - 954
JO - Linear and Multilinear Algebra
JF - Linear and Multilinear Algebra
IS - 5
ER -