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Advanced Quantum Mechanics

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From Classical to Quantum Shannon Theory
Author: Mark M. Wilde  Language:
The aim of this book is to develop "from the ground up" many of the major, exciting, pre- and post-millenium developments in the general area of study known as quantum Shannon theory. As such, we spe . . . . .
Theoretical Concepts of Quantum Mechanics
Author: Pahlavani  Language:
Contents: Complementarity in Quantum Mechanics and Classical Statistical Mechanics; The Physical Nature of Wave/Particle Duality: The Bicomplex Heisenberg Uncertainty Principle: Correspondence, Time . . . . .
Quantum Physics
Author: Jim Branson  Language:
Contents: The problems with classical physics; diffraction; The solution: probability amplitudes; wave packets; operators; The Schroedinger equation; Eigenfunctions, eigenvalues and spaces; one dimens . . . . .
Understanding quantum measurement from the solution of dynamical models
Author: Armen E. Allahverdyan, Roger Balian, Theo M. Nieuwenhuizen  Language:
The quantum measurement problem, understanding why a unique outcome is obtained in each individual experiment, is tackled by solving models. After an introduction we review the many dynamical models p . . . . .
Lectures on Atomic physics
Author: Walter R. Johnson  Language:
Contents: Angular Momentum; Central-Field Schrodinger Equation; Self-Consistent Fields; Atomic Multiplets; Radiative Transitions; Introduction to MBPT.
Atomes et Lumiére Interaction Matiére Rayonnement
Author: Claude Fabre  Language:
Contents: Les Outils de l\'optique quantique; les approches phénoménologiques; L\'approche semi-classique; Description quantique du champ électromagnétique libre; Interaction entre atome et champ qua . . . . .
Guide to Mathematical Concepts of Quantum Theory
Author: Teiko Heinosaari, Mario Ziman  Language:
Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper we introduce, step by step, the quantum theory understood as a mathematical model des . . . . .
Quantum models of classical world
Author: Petr Hajicek  Language:
This paper is a review of our recent work on three notorious problems of non-relativistic quantum mechanics: realist interpretation, quantum theory of classical properties and the problem of quantum m . . . . .
Lectures on Advanced Quantum Mechanics
Author: Freeman J. Dyson  Language:
The legendary 1951 Dyson Lectures on Advanced Quantum Mechanics are finally LaTeXed, with thorough annotations and an index as an added bonus.
Quantum Walks
Author: Daniel Reitzner, Daniel Nagaj, Vladimir Buzek  Language:
This tutorial article showcases the many varieties and uses of quantum walks. Discrete time quantum walks are introduced as counterparts of classical random walks. The emphasis is on the connections a . . . . .
Lecture Script: Introduction to Computational Quantum Mechanics
Author: Roman Schmied  Language:
This document is the lecture script of a one-semester course taught at the University of Basel in the Fall semesters of 2012 and 2013. It is aimed at advanced students of physics who are familiar . . . . .
Berry\'s Phase and Geometric Quantum Distance: Macroscopic Polarization and Electron Localization
Author: Raffaele Resta  Language:
Contents: Fundamentals; More advanced topics; Many-electron phase and distance; Molecules; Crystalline solids and Zak\'s phase; Adiabatic phenomena in solids; Wannier functions; A single electron in a . . . . .
Advanced Quantum mechanics
Author: Jouko Mickelsson  Language:
Contents: hilbert spaces; operators algebra; representation of C algebras; schrodinger equation; the weyl system; lie algebra and groups; semisimple lie algebras; representation of semisimple lie alge . . . . .
Quantum entanglement
Author: Ryszard Horodecki, Pawel Horodecki, Michal Horodecki, Karol Horo  Language:
All our former experience with application of quantum theory seems to say: {\it what is predicted by quantum formalism must occur in laboratory}. But the essence of quantum formalism - entanglement, r . . . . .
Introduction to the Time Evolution of Open Quantum Systems
Author: Ángel Rivas, Susana F. Huelga  Language:
We revise fundamental concepts in the dynamics of open quantum systems in the light of modern developments in the field. Our aim is to present a unified approach to the quantum evolution of open syste . . . . .
Geometric and topological aspects of slow and fast coupled dynamical systems in quantum and classical dynamics
Author: Frédéric FAURE  Language:
Contents: introduction and overview; Berry's connection and Berry's phase in quantum mechanics; The semi-classical limit; topological aspect in the semi-quantum model of slow-fast coupled systems; top . . . . .
Advanced Quantum Mechanics
Author: Edward Teo  Language:
Contents: Relativistic Quantum Mechanics; Feynman path-integral formulation of quantum mechanics; Canonical Quantization; Integrating Fields.
Quantum walks: a comprehensive review
Author: Salvador E. Venegas-Andraca  Language:
Quantum walks, the quantum mechanical counterpart of classical random walks, is an advanced tool for building quantum algorithms that has been recently shown to constitute a universal model of quantum . . . . .
Entanglement detection
Author: Otfried Gühne, Geza Toth  Language:
How can one prove that a given state is entangled? In this paper we review different methods that have been proposed for entanglement detection. We first explain the basic elements of entanglement the . . . . .
Title: Cold and Ultracold Molecules: Science, Technology, and Applications
Author: Lincoln D. Carr, David DeMille, Roman V. Krems, Jun Ye  Language:
This article presents a review of the current state of the art in the research field of cold and ultracold molecules. It serves as an introduction to the Special Issue of the New Journal of Physics on . . . . .
Mécanique quantique avancée
Author: Jean Dalibard  Language:
Contents: Particules identiques en mecanique quantique; la seconde quantification; problemes dependant du temps; amplitudes de transition; couplage d'un eta discret à un eta continuum; elements de the . . . . .
Quantum transients
Author: A. del Campo, G. Garcia-Calderon, J. G. Muga  Language:
Quantum transients are temporary features of matter waves before they reach a stationary regime. Transients may arise after the preparation of an unstable initial state or due to a sudden interaction . . . . .
Berry and Pancharatnam Topological Phases of Atomic and Optical Systems
Author: Y.Ben-Aryeh  Language:
Theoretical and experimental studies of Berry and Pancharatnam phases are reviewed. Basic elements of differential geometry are presented for understanding the topological nature of these phases. The . . . . .
The second quantization method for indistinguishable particles
Author: V. S. Shchesnovich  Language:
Contents 1. Creation and annihilation operators for the system of indistinguishable particles 1.1 The permutation group and the states of a system of indistinguishable particles 1.2 Dimension of the . . . . .
New Insights on Time-Symmetry in Quantum Mechanics
Author: Yakir Aharonov, Jeff Tollaksen  Language:
A review of new aspects concerning time-symmetry in Quantum Mechanics.
Quantum Adiabatic Anholonomy
Author: M. Berry  Language:
Lecture notes on geomatric phase in quantum mechanics.
Quantum Hamiltonian Complexity
Author: Sevag Gharibian, Yichen Huang, Zeph Landau, Seung Woo Shin  Language:
We survey the growing field of Quantum Hamiltonian Complexity, which includes the study of Quantum Constraint Satisfaction. In particular, our aim is to provide a computer science-oriented introductio . . . . .
Decoherence: Basic Concepts and Their Interpretation
Author: H. D. Zeh  Language:
Introduction to the theory of decoherence. Contents: 1. The phenomenon of decoherence: superpositions, superselection rules, decoherence by "measurements". 2. Observables as a derivable concept. 3. Th . . . . .
Lectures on scattering theory
Author: D. Yafaev  Language:
These two lectures are devoted to describing the basic concepts of scattering theory in a very compressed way.
The quantum-to-classical transition and decoherence
Author: Maximilian Schlosshauer  Language:
I give a pedagogical overview of decoherence and its role in providing a dynamical account of the quantum-to-classical transition. The formalism and concepts of decoherence theory are reviewed, follow . . . . .
Compléments de mécanique quantique
Author: C. Cohen-Tannoudji et S. Haroche  Language:
Contents: introduction; les operatores dans le formalisme de Feyman; Principe d'action de Schwinger; Function de Green, propagatores; Etats Stationaries de collision; Etude du spectre discret de H au . . . . .

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