EXPONENTIAL DECAY OF GREEN-FUNCTIONS FOR A CLASS OF LONG-RANGE HAMILTONIANS

被引：3

作者：

WANG, WM

机构：

[1] Department of Physics, Princeton University, Princeton, 08544, NJ

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 136卷 / 01期

关键词：

D O I：

10.1007/BF02096789

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a class of long range Hamiltonians with diagonal disorder on l2 (Z). For any ergodic potential V with non-empty essential range, we prove the exponential decay of the Green's functions for energies in the essential range. If V is independent identically distributed, we obtain the exponential decay of the Green's functions for all coupling constant lambda > 0. Moreover the Hamiltonian has only pure point spectrum.

引用

页码：35 / 41

页数：7

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