Essays about: "Eigenvalue"

Showing result 1 - 5 of 69 essays containing the word Eigenvalue.

  1. 1. The Collapse of Decoherence : Can Decoherence Theory Solve The Problems of Measurement?

    University essay from Uppsala universitet/Materialteori

    Author : Karl Herlin; [2023]
    Keywords : quantum mechanics; quantum physics; philosophy of physics; interpretation of quantum mechanics; measurement problem; problem of preferred basis; problem of non-observability of interference; problem of definite outcomes; environment induced superselection rules; copenhagen interpretation; decoherence; irreducibility of classical concepts;

    Abstract : In this review study, we ask ourselves if decoherence theory can solve the problems of measurement in quantum mechanics. After an introduction to decoherence theory, we present the problem of preferred basis, the problem of non-observability of interference and the problem of definite outcomes. READ MORE

  3. 2. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Tindra Jernström; Anna Öhman; [2023]
    Keywords : Dirichlet-to-Neumann maps; Nonlinear eigenvalue problems; Absorbing boundary conditions;

    Abstract : Differential equations arise frequently in modeling of physical systems, often resulting in linear eigenvalue problems. However, when dealing with large physical domains, solving such problems can be computationally expensive. READ MORE

  4. 3. Gap Probabilities in Random Matrix Ensembles

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Oskar Bäcklin; [2023]
    Keywords : gap probability; random matrix;

    Abstract : In this degree project we look at eigenvalue statistics of two randommatrix ensembles, the Gaussian and the circular ensembles. We beginwith their definition and discuss the joint probability distribution of theirentries and eigenvalues. READ MORE

  5. 4. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices

    University essay from Lunds universitet/Matematik LTH

    Author : Teodor Bucht; [2023]
    Keywords : Toeplitz matrices; Banded Toeplitz matrices; Limit set; Eigenvalues; Mathematics and Statistics;

    Abstract : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. READ MORE

  6. 5. Perron-Frobenius' Theory and Applications

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Karl Eriksson; [2023]
    Keywords : Positive matrices; nonnegative matrices; Perron-Frobenius; linear dynamical systems; Leslie matrices; Markov chain; Google s PageRank algorithm; Positiva matriser; icke-negativa matriser; Perron-Frobenius; linjära dynamiska system; Leslie matris; Markov-kedja; Google s PageRank algoritm;

    Abstract : This is a literature study, in linear algebra, about positive and nonnegative matrices and their special properties. We say that a matrix or a vector is positive/nonnegative if all of its entries are positive/nonnegative. First, we study some generalities and become acquainted with two types of nonnegative matrices; irreducible and reducible. READ MORE