Sökning: "Schrödinger operator"

Visar resultat 11 - 15 av 23 avhandlingar innehållade orden Schrödinger operator.

  1. 11. Zero-energy states in supersymmetric matrix models

    Författare :Douglas Lundholm; Jens Hoppe; Jan Philip Solovej; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; supermembrane matrix models; supersymmetric quantum mechanics; zero-energy states; Clifford algebra; matrix-valued Schrödinger operator; spectral theory; bounds for negative eigenvalues; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematical physics; Matematisk fysik;

    Sammanfattning : The work of this Ph.D. LÄS MER

  3. 12. Numerical Methods for Wave Propagation : Analysis and Applications in Quantum Dynamics

    Författare :Emil Kieri; Sverker Holmgren; Vasile Gradinaru; Hans O. Karlsson; Tobias Jahnke; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational wave propagation; quantum dynamics; time-dependent Schrödinger equation; spectral methods; Gaussian beams; splitting methods; low-rank approximation; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : We study numerical methods for time-dependent partial differential equations describing wave propagation, primarily applied to problems in quantum dynamics governed by the time-dependent Schrödinger equation (TDSE). We consider both methods for spatial approximation and for time stepping. LÄS MER

  4. 13. Properties of wave-front sets and non-tangential convergence

    Författare :Karoline Johansson; Joachim Toft; Luigi Rodino; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Fourier Banach spaces; Generalized free time-dependent Schrödinger equation; Micro-local; Modulation spaces; Non-tangential convergence; Pseudo-differential operators; Regularity; Wave-front sets.; Mathematical analysis; Analys; Matematik; Mathematics;

    Sammanfattning : In this thesis we consider regularity properties for solutions to partial differential equations and pseudo-differential equations. The thesis mainly concerns wave-front sets and micro-local properties. LÄS MER

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

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

    Sammanfattning : 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. LÄS MER

  7. 15. Properties of the Discrete and Continuous Spectrum of Differential Operators

    Författare :Andreas Enblom; Ari Laptev; Alexei Ilyin; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis contains three scientific papers devoted to the study of different spectral theoretical aspects of differential operators in Hilbert spaces.The first paper concerns the magnetic Schrödinger operator (i∇ + A)2 in L2(ℝn). LÄS MER