Search for dissertations about: "Quantum graphs"

Showing result 1 - 5 of 10 swedish dissertations containing the words Quantum graphs.

  2. 1. Extremal eigenvalues and geometry of quantum graphs

    Author : Andrea Serio; Pavel Kurasov; Annemarie Luger; Evans Harrell; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; quantum graphs; spectral estimates; trace formula; Euler characteristic; Mathematics; matematik;

    Abstract : This thesis consists of four papers concerning topics in the spectral theory of quantum graphs, which are differential operators on metric graphs.In paper I we present a family of graphs with an arbitrary number of cycles for which a certain eigenvalue upper estimate is sharp. READ MORE

  4. 2. Quantum Graphs and Equi-transmitting Scattering Matrices

    Author : Wyclife Ogik Rao; Pavel Kurasov; Rikard Bogvad; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Quantum graphs; vertex scattering matrix; equi-transmitting matrices.; matematik; Mathematics;

    Abstract : The focus of this study is scattering matrices in the framework of quantum graphs,more precisely the matrices which describe equi-transmission. They are unitary andHermitian and are independent of the energies of the associated system. READ MORE

  5. 3. Spectral estimates and Ambartsumian-type theorems for quantum graphs

    Author : Rune Suhr; Pavel Kurasov; Annemarie Luger; Alexei Rybkin; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Spectral estimates; quantum graphs; Ambartsumian; trigonometric polynomials; Mathematics; matematik;

    Abstract : This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum graph is a metric graph equipped with a self-adjoint Schrödinger operator acting on functions defined on the edges of the graph subject to certain vertex conditions. READ MORE

  6. 4. Higher order differential operators on graphs

    Author : Jacob Muller; Pavel Kurasov; Ram Band; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Almost periodic functions; differential operators on metric graphs; quantum graphs; estimation of eigenvalues;

    Abstract : This thesis consists of two papers, enumerated by Roman numerals. The main focus is on the spectral theory of -Laplacians. Here, an -Laplacian, for integer , refers to a metric graph equipped with a differential operator whose differential expression is the -th derivative. READ MORE

  7. 5. On Aspects of Anyons and Quantum Graphs

    Author : Babak Majidzadeh Garjani; Eddy Ardonne; Andrea Cappelli; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; teoretisk fysik; Theoretical Physics;

    Abstract : This thesis consists of two distinct parts. The first part, based on the first two accompanied papers, is in the field of topological phases of matter and the second part, based on the third accompanied paper, looks at a problem in the field of quantum graphs, a rapidly growing field of mathematical physics. READ MORE