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Quantun Mechanics

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LECTURES ON SEMICLASSICAL ANALYSIS
Author: LAWRENCE C. EVANS AND MACIEJ ZWORSKI  Language:
Contents: Introduction; Symplectic analysis;. Fourier transform, stationary phase; Semiclassical Quantization; Semiclassical defect measures; Eigenvalues and eigenfunctions; Estimates for eigenfunctio . . . . .
Mathematical Methods in Quantum Mechanics
Author: Gerald Teschl  Language:
This manuscript provides a brief introduction to mathematical methods in quantum mechanics (spectral theory) with applications to Schrödinger operators. The first part covers mathematical foundations . . . . .
Foundations of Quantum Mechanics
Author: Gerald Teschl  Language:
This manuscript provides a brief introduction to mathematical methods in quantum mechanics (spectral theory) with applications to Schrödinger operators. The first part covers mathematical foundations . . . . .
Lectures on Quantum Mechanics (nonlinear PDE point of view)
Author: A.Komech  Language:
We expose the Schrodinger quantum mechanics with traditional applications to Hydrogen atom. We discuss carefully the experimental and theoretical background for the introduction of the Schrodinger, Pa . . . . .
Quantum Fluctuations
Author: Edward Nelson  Language:
Quantum Fluctuations.
Quantization and Semiclassics
Author: Max Lein  Language:
This course is aimed at graduate students in physics in mathematics and designed to give a comprehensive introduction to Weyl quantization and semiclassics via Egorov's theorem. Chapter 2 gives a qu . . . . .
Introduzione a gruppi ed algebre in meccanica quantistica
Author: Marco Toller  Language:
Contenuto:Il formalismo della Meccanica Quantistica; Simmetrie in Meccanica Quantistica; Rappresentazioni unitarie; Gruppi di simmetria spazio-temporale.
Lecture Notes on Quantum Brownian Motion
Author: Laszlo Erdos  Language:
Einstein’s kinetic theory of the Brownian motion, based upon light water molecules continuously bombarding a heavy pollen, provided an explan ation of diffusion from the Newtonian mechanics. Since t . . . . .
"Quantization is a mystery"
Author: Ivan Todorov  Language:
Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not compl . . . . .
Quantum Probability Theory
Author: Miklos Redei, Stephen J. Summers  Language:
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings . . . . .
MATHEMATICAL ASPECTS OF QUANTUM MECHANICS
Author: Gianfausto Dell’Antonio  Language:
Contents: Chapter 1 - Historical background Chapter 2 - States, observables, measurements. Decoherence Chapter 3 - Quantum Dynamics, Free motion. Olonomy and geometrical phase. Chapter 4 - Elemen . . . . .

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