Sökning: "Integrabilitet"

Hittade 3 uppsatser innehållade ordet Integrabilitet.

  1. 1. Crosscap States in Integrable Spin Chains

    Master-uppsats, KTH/Fysik

    Författare :Christopher Ekman; [2022]
    Nyckelord :Theoretical Physics; Mathematical Physics; Integrability; Integrable Systems; Spin chains; Heisenberg model; Integrable Boundary States; Crosscap states; Teoretisk fysik; Matematisk fysik; Integrabilitet; Integrabla system; Spinnkedjor; Heisenbergmodellen; Integrabla gränstillstånd; Crosscaptillstånd;

    Sammanfattning : We consider integrable boundary states in the Heisenberg model. We begin by reviewing the algebraic Bethe Ansatz as well as integrable boundary states in spin chains. Then a new class of integrable states that was introduced last year by Caetano and Komatsu is described and expanded. We call these states the crosscap states. LÄS MER

  2. 2. On a novel soliton equation, its integrability properties, and its physical interpretation

    Master-uppsats, KTH/Fysik

    Författare :Alexander Fagerlund; [2022]
    Nyckelord :Calogero-Moser systems; Conservation laws; Elliptic dynamics; Fluid dynamics; Hamiltonian mechanics; Hyperbolic dynamics; Integrability; Lax pairs; Pole ansatz; Riemann-Hilbert problems; Solitons; Bevarandelagar; Calogero-Mosersystem; Elliptisk dynamik; Fluiddynamik; Hamiltonmekanik; Hyperbolisk dynamik; Integrabilitet; Laxpar; Polansats; Riemann-Hilbertproblem; Solitoner;

    Sammanfattning : In the present work, we introduce a never before studied soliton equation called the intermediate mixed Manakov (IMM) equation. Through a pole ansatz, we prove that the equation has N-soliton solutions with pole parameters governed by the hyperbolic Calogero-Moser system. LÄS MER

  3. 3. Integrability of Boltzmann's discontinuous gravitational system

    Master-uppsats, KTH/Fysik

    Författare :Frode Boman; [2021]
    Nyckelord :Theoretical physics; Mathematical physics; Integrability; Integrable system; Boltzmann; Ergodicity; Discontinuous system;

    Sammanfattning : A dynamical system originally invented by Boltzmann has had recent developments. The system consists of a particle in a gravitational potential with an added centrifugal force, which is subject to reflection against a wall that separates the system from the gravitational center. LÄS MER