TY - JOUR
T1 - A Remark on Continuum Eigenfunctions of N-Body Schrödinger Operators
AU - Perry, Peter A.
PY - 1984/1/1
Y1 - 1984/1/1
N2 - Let H be a generalized N-body Schrödinger operator on IRn. We study exponential decay properties of polynomially bounded solutions to Schrödinger's equation Hu = λu, where λ lies in the negative essential spectrum of H, using Agmon's method. Our results show that such solutions decay exponentially outside an infinite, closed subset of n depending on λ and so represent bound clusters of particles. These results partially characterize negative energy continuum eigenfunctions of H.
AB - Let H be a generalized N-body Schrödinger operator on IRn. We study exponential decay properties of polynomially bounded solutions to Schrödinger's equation Hu = λu, where λ lies in the negative essential spectrum of H, using Agmon's method. Our results show that such solutions decay exponentially outside an infinite, closed subset of n depending on λ and so represent bound clusters of particles. These results partially characterize negative energy continuum eigenfunctions of H.
UR - https://www.scopus.com/pages/publications/77956894048
UR - https://www.scopus.com/inward/citedby.url?scp=77956894048&partnerID=8YFLogxK
U2 - 10.1016/S0304-0208(08)73729-0
DO - 10.1016/S0304-0208(08)73729-0
M3 - Article
AN - SCOPUS:77956894048
SN - 0304-0208
VL - 92
SP - 451
EP - 454
JO - North-Holland Mathematics Studies
JF - North-Holland Mathematics Studies
IS - C
ER -