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On the spectral theory of 1-D Schrodinger operator with random sparse potentials
Title
On the spectral theory of 1-D Schrodinger operator with random sparse potentials
Author
Cook, Thomas
Date Created
2019
Subjects--Topical
Mathematics
Description
The goal of this dissertation is to develop a spectral theory for the Schr\"odinger operator with sparse random potential. To do this, we will first reformulate theories for sparse deterministic potentials. This includes a general development of t...
Spectral Theory of Schrödinger Type Operator on Spider Type Quantum Graphs
Title
Spectral Theory of Schrödinger Type Operator on Spider Type Quantum Graphs
Author
Paul, Madhumita
Date Created
2023
Subjects--Topical
Mathematics
Description
The dissertation consists of chapter 1: Introduction, this chapter contains some definitions and examples of quantum graphs, symplectic analysis and its representation on spider graph. Chapter 2-Brownian motion on the spider like quantum graph, th...