TY - JOUR

T1 - A limiting absorption principle for Schrödinger operators with generalized Von Neumann-Wigner potentials II. The proof

AU - Rejto, Peter

AU - Taboada, Mario

PY - 1997/4/15

Y1 - 1997/4/15

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 pointb2/4.

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 pointb2/4.

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U2 - 10.1006/jmaa.1997.5294

DO - 10.1006/jmaa.1997.5294

M3 - Article

AN - SCOPUS:0031108767

VL - 208

SP - 311

EP - 336

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -