arXiv Open Access 2014

Scattering Theory of Schrödinger Operators with Random Sparse Potentials

Zhongwei Shen

Lihat Sumber

Abstrak

In this paper, we study the scattering theory of a class of continuum Schrödinger operators with random sparse potentials. The existence and completeness of wave operators are proven by establishing the uniform boundedness of modified free resolvents and modified perturbed resolvents, and by invoking a previous result on the absence of absolutely continuous spectrum below zero.

Topik & Kata Kunci

math.SP

Penulis (1)

Zhongwei Shen

Format Sitasi

APA MLA BibTeX

Shen, Z. (2014). Scattering Theory of Schrödinger Operators with Random Sparse Potentials. https://arxiv.org/abs/1403.2465

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓