Sökning: "Poisson Bracket"

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1. 1. Basic quantisation rules of semiclassical analysis

   Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Analys och sannolikhetsteori

   Författare :Anders Israelsson; [2016]
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER