TY - JOUR
T1 - On semi-classical bounds for eigenvalues of Schrödinger operators
AU - Aizenman, Michael
AU - Lieb, Elliott H.
N1 - Funding Information:
¢' Work partly supported by U.S. National Science Foundation grant MCS 75-21684 A02.
PY - 1978/6/26
Y1 - 1978/6/26
N2 - Our principal results is that if the semiclassical estimate is a bound for some moment of the negative eigenvalues (as is known in some cases in one-dimension), then the semiclassical estimates are also bounds for all higher moments.
AB - Our principal results is that if the semiclassical estimate is a bound for some moment of the negative eigenvalues (as is known in some cases in one-dimension), then the semiclassical estimates are also bounds for all higher moments.
UR - http://www.scopus.com/inward/record.url?scp=0000545486&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000545486&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(78)90385-7
DO - 10.1016/0375-9601(78)90385-7
M3 - Article
AN - SCOPUS:0000545486
SN - 0375-9601
VL - 66
SP - 427
EP - 429
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 6
ER -