TY - JOUR
T1 - A limiting absorption principle for Schrödinger operators with generalized Von Neumann-Wigner potentials I. Construction of approximate phase
AU - Rejto, Peter
AU - Taboada, Mario
PY - 1997/4/1
Y1 - 1997/4/1
N2 - In this series of papers we prove the limiting absorption principle over a given interval for a class of Hamiltonians which contains the original one of von Neumann and Wigner. More specifically, the Hamiltonians are of the form -Δ+csinb|x|/|x|β+V(x), where 2/3<β≤1,V(x) is a short range potential and I is a given compact subinterval of the open positive axis which does not contain the point b2/4.
AB - In this series of papers we prove the limiting absorption principle over a given interval for a class of Hamiltonians which contains the original one of von Neumann and Wigner. More specifically, the Hamiltonians are of the form -Δ+csinb|x|/|x|β+V(x), where 2/3<β≤1,V(x) is a short range potential and I is a given compact subinterval of the open positive axis which does not contain the point b2/4.
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U2 - 10.1006/jmaa.1997.5293
DO - 10.1006/jmaa.1997.5293
M3 - Article
AN - SCOPUS:0031106925
SN - 0022-247X
VL - 208
SP - 85
EP - 108
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -