A MOURRE ESTIMATE FOR A SCHRÖDINGER OPERATOR ON A BINARY TREE-Reference-Cited by-同舟云学术

A MOURRE ESTIMATE FOR A SCHRÖDINGER OPERATOR ON A BINARY TREE

Published:2000-12 Issue:12 Volume:12 Page:1655-1667
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

ALLARD C.¹,FROESE R.¹

Affiliation:

1. Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1Z2, Canada

Abstract

Let G be a binary tree with vertices V and H be a Schrödinger operator acting on ℓ2 (V). A decomposition of the space ℓ2 (V) into invariant subspaces is exhibited yielding a conjugate operator A for use in the Mourre estimate. We show that for potentials q satisfying a first order difference decay condition, a Mourre estimate for H holds.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X00000575

Reference4 articles.

1. Extended States in the Anderson Model on the Bethe Lattice

2. Spectral analysis of second-order elliptic operators on noncompact manifolds

3. On the spectral properties of discrete Schrödinger operators

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