Essays about: "Semiclassical analysis"

Found 2 essays containing the words Semiclassical analysis.

  1. 1. Comparing Quantum and Semi-Classical Approaches to Non-Collinear Magnetism in an Electron-Spin Dimer

    University essay from Lunds universitet/Fysiska institutionen; Lunds universitet/Matematisk fysik

    Author : Sherwan Jamo Abdi; [2023]
    Keywords : Skyrmion Electron Spin Dzyaloshinskii-Moriya Interaction DMI Ehrenfest Semiclassical; Physics and Astronomy;

    Abstract : In this bachelor thesis, an explorative theoretical analysis is presented on a model system characterized by various and competing magnetic interactions. The system comprises two localized magnetic moments (spins), and a single itinerant electron that hops between two orbitals located at the spins’ positions. READ MORE

  2. 2. Basic quantisation rules of semiclassical analysis

    University essay from Uppsala universitet/Analys och sannolikhetsteori

    Author : Anders Israelsson; [2016]
    Keywords : Semiclassical analysis; Gårding inequality; Borel Theorem; Kohn-Nirenberg; Weyl; Quantization; Symbol; Asympotic expansion; Schwartz space; Tempered distribution; Pseudodifferential operator; Fourier transform; Stationary phase; Microlocal analysis; Oscillatory integral; Poisson Bracket; Lie Bracket;

    Abstract : Semiclassical analysis is the study of how to connect classical mechanics with quantummechanics in a mathematically rigorous way. What is crucial for quantum mechanics isthat the operators that occur are self-adjoint and map a subset of L2 into L2. This hasbeen proven in this thesis. READ MORE