首页> 外文期刊>Journal of Mathematical Analysis and Applications >A LIMITING ABSORPTION PRINCIPLE FOR SCHRODINGER OPERATORS WITH GENERALIZED VON-NEUMANN-WIGNER POTENTIALS .1. CONSTRUCTION OF APPROXIMATE PHASE
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A LIMITING ABSORPTION PRINCIPLE FOR SCHRODINGER OPERATORS WITH GENERALIZED VON-NEUMANN-WIGNER POTENTIALS .1. CONSTRUCTION OF APPROXIMATE PHASE

机译:具有广义Von-Neuman-Wigner势的Schrodinger算子的极限吸收原理1。近似相的构造

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摘要

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 -Delta + c sin bx/x(beta) + V(x), where 2/3 < beta less than or equal to 1, V(x) is a short range potential and J is a given compact subinterval of the open positive axis which does not contain the point b(2)/4. (C) 1997 Academic Press. [References: 21]
机译:在这一系列论文中,我们证明了给定间隔内一类哈密顿量的极限吸收原理,该哈密顿量包含冯·诺伊曼和维格纳的原始特征。更具体地说,哈密顿量的形式为-Delta + c sin b x / x β+ V(x),其中2/3

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