TY - JOUR
T1 - Remarks on Schrödinger operators with an electric field and deterministic potentials
AU - Ben-Artzi, Matania
PY - 1985/8/1
Y1 - 1985/8/1
N2 - Let H0 = - d2 dx2 + F · x, H = H0 + V be Schrödinger operators on the line, where F ≠ 0 is a real constant and V a real potential. The case where V is unbounded and non-smooth is studied. It is shown that for a large class of potentials H is purely absolutely continuous and in fact unitarily equivalent to H0.
AB - Let H0 = - d2 dx2 + F · x, H = H0 + V be Schrödinger operators on the line, where F ≠ 0 is a real constant and V a real potential. The case where V is unbounded and non-smooth is studied. It is shown that for a large class of potentials H is purely absolutely continuous and in fact unitarily equivalent to H0.
UR - http://www.scopus.com/inward/record.url?scp=46549092972&partnerID=8YFLogxK
U2 - 10.1016/0022-247X(85)90154-4
DO - 10.1016/0022-247X(85)90154-4
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AN - SCOPUS:46549092972
SN - 0022-247X
VL - 109
SP - 333
EP - 339
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -