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The topics discussed in this lecture notes include: Probability Amplitudes and Quantum States, Operators and Observables, Position and Momentum Representations,Time Evolution in Quantum Mechanics,Wave mechanics, Harmonic Oscillators,Transformations and Symmetries,Heisenberg picture and Heisenberg equation of motion, Rotational invariance and angular momentum as a good quantum number,Position representation and angular momentum, Angular momentum and magnetic moments,Spin and total angular momentum,QM systems composed of two parts, Product States vs entangled states, Addition of angular momenta, EPR experiment and Bell inequalities, Position representation, Energy eigenvalues and emission spectra of hydrogen, Explicit form of the wave functions.
Author(s): F.H.L. Essler, The Rudolf Peierls Centre for Theoretical Physics, Oxford University
97Pages
The contents of the notes include: The Schrodinger equation, Measurement and uncertainty, The harmonic oscillator, Angular momentum and spin, Particles in an external magnetic eld, Pictures in quantum mechanics, Particle in a central potential, Time independent Perturbation theory, Variational principle, Path integral formulation of quantum mechanics, Scattering Theory.
Author(s): Jorg Schmalian, Karlsruhe Institute of Technology
118Pages
This is an introductory note on quantum mechanics. Topics covered includes: A Quantum Particle in One Dimension, The Formalism of Quantum Mechanics, A Quantum Particle in Three Dimensions.
Author(s): David Tong
NAPages
This note covers the following topics: The History of Quantum Mechanics and Motivation, Radially Symmetric Problems, Principles of Quantum Mechanics, Spins, Time-independent Perturbation Theory, Time-dependent Perturbation Theory.
Author(s): Prof. Cumrun Vafa
83Pages
This lecture note explains the following topics: Classical Mechanics, Abstract vector spaces, Functions as vectors, Postulates of Quantum Mechanics, The Wavefunction, The Uncertainty Principle, Scattering Theory, Stationary States, Angular Momentum, The Hydrogen Atom, Spin.
Author(s): Salwa Alsaleh
98Pages
This lecture note explains the following topics: Schrodinger’s Equation, Piecewise Potentials, Linear Algebra and Function Space, Angular Momentum and Spin, Multiple Particles, Perturbation Theory – Fine Structure, Time Dependent Perturbation Theory, Relativistic Quantum Mechanics: The Dirac Equation.
Author(s): Joel Franklin
NAPages
This book explains the following topics: Schrodinger equation, Wronskian theorem, Hilbert Spaces for Physicists, Postulates of Quantum Mechanics, Harmonic Oscillator in Operatorial Form, Angular momentum quantization, Symmetries in Quantum Mechanics, Spin, Identical particles, Hydrogen atom, Time-dependent and independent perturbation theory, Path integral approach to quantum mechanics, : Semiclassical quantum mechanics.
Author(s): Ennio Gozzi
317Pages
This note explains the following topics: The Classical State, Historical Origins of Quantum Mechanics, The Wave-like Behaviour of Electrons, Energy and Uncertainty, Quantum State, Operators and Observations, Rectangular Potentials, The Harmonic Oscillator, Spectrum of Angular Momentum, Aspects of Spin, Electron Spin, Approximation Methods, Quantum Mechanics as Linear Algebra, Feynman Path-Integral Quantization.
Author(s): J. Greensite
391Pages
This note describes the following topics: Mathematical Foundations, Quantum Measurements, Dynamics and Symmetries, Approximation Methods, Quantum Information Processing, Quantum Information Theory.
Author(s): Martin Plenio
172Pages
This note covers the following topics:The Mathematical Formalism of Quantum Mechanics, Postulates of Quantum Mechanics, Density Operator, Spatial Degrees of Freedom, Time Evolution in Quantum Mechanics, The WKB Method, Harmonic Oscillators and Coherent States, The Propagator and the Path Integral, Charged Particles in Magnetic Fields, Rotations in Ordinary Space, Rotations in Quantum Mechanics, and Rotations of Spin / Systems, Representations of the Angular Momentum Operators and Rotations, Spins in Magnetic Fields, Orbital Angular Momentum and Spherical Harmonics, Central Force Motion, Hydrogen, Coupling of Angular Momenta, Irreducible Tensor Operators and the Wigner-Eckart Theorem, Bound-State Perturbation Theory, The Stark Effect in Hydrogen and Alkali Atoms, The Photoelectric Effect.
Author(s): Robert Littlejohn
NAPages
The subject of most of this book is the quantum mechanics of systems which have a small number of degrees of freedom. This book is a mix of descriptions of quantum mechanics itself, the general properties of systems described by quantum mechanics, and general techniques for describing their behavior. Topics covered includes: Quantum mechanics in the language of Hilbert space, Time dependence in quantum mechanics, Propagators and path integrals, Density matrices, Wave mechanics, Angular momentum, Identical particles, Time independent perturbation theory, Variational methods and Time dependent perturbation theory.
Author(s): Thomas DeGrand
356Pages
This book covers the following topics: Mathematical derour: Operator theory, Fourier transform and the calculus of variations Dynamics, Observables, The uncertainty principle, Spectral theory, Special cases, Many particle system, The Feynman path integral, Quasi classical analysis, Resonances, Quantum field theory and Renormalization group.
Author(s): S. Gustafson and I . M Sigal
185Pages
This lecture note explains the following topics: The Early History of Quantum Mechanics, The Wave Function, The Two Slit Experiment, Wave Mechanics, Particle Spin and the Stern-Gerlach Experiment, Probability Amplitudes, Vector Spaces in Quantum Mechanics, State Spaces of Infinite Dimension, Matrix Representations of State Vectors and Operators, Probability, Expectation Value and Uncertainty, Time Evolution in Quantum Mechanics.
Author(s): James Cresser
NAPages
This note is intended to teach quantum mechanics to undergraduate students as well as graduate students. Topics covered includes: Classical Mechanics, Quantum Mechanics, Time-Dependent Schr¨odinger Equation, Mathematical Preliminarie, Approximate Methods in Quantum Mechanics, Quantum Mechanics in Crystals, Angular Momentum, Density Matrix, 2 Quantization of Classical Fields, Schrodinger Wave Fields, Quantum Information and Quantum Interpretation.
Author(s): Weng Cho CHEW
218Pages
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NAPages
This book, which brought together an international community of invited authors, represents a rich account of foundation, scientific history of quantum mechanics, relativistic quantum mechanics and field theory, and different methods to solve the Schrodinger equation.
Author(s): Mohammad Reza Pahlavani
598Pages
The development of quantum mechanics has taken physics in a vastly new direction from that of classical physics from the very start. In fact, there continue at present to be many developments in the subject of a very fundamental nature, such as implications for the foundations of physics, physics of entanglement, geometric phases, gravity and cosmology and elementary particles as well. It is hoped the papers in this volume will provide a much needed resource for researchers with regard to current topics of research in this growing area.
Author(s): Paul Bracken
779Pages
This note covers the following topics: Bound States, Discreet Energy Levels, Electron Diffraction, Exploring Quantum Tunneling, Uncertainty Principle, Interpreting Wave Functions, Sketching Wave Functions, Shape of the Wave Function, Wave Packet, Wave Functions and Energies in Atoms.
Author(s): Kansas State University
NAPages
This note covers the following topics: Special Relativity, Basic Quantum Mechanics, Single-Particle Systems, Multiple-Particle Systems, Time Evolution, Basic and Quantum Thermodynamics, Angular momentum and Electromagnetism.
Author(s): Leon van Dommelen
1623Pages
This note covers the following topics related to Quantum Mechanics: Mathematical foundations of Quantum mechanics, Hilbert Spaces, The Spectral Theorem, Quantum dynamics and Schrodinger Operators.
Author(s): Gerald Teschl
317Pages
This book covers the following topics: Maxwell’s Equations, Electrostatic Fields, Potential Theory, Magnetostatic Fields, Magnetostatics in Magnetic Media, Wave Propagation in Uniform Dielectric Media, Wave Propagation in Inhomogeneous Dielectric Media, Radiation and Scattering, Resonant Cavities and Waveguides, Multipole Expansion, Relativity and Electromagnetism.
Author(s): Richard Fitzpatrick
307Pages
This note introduces Quantum Mechanics at an advanced level addressing students of Physics, Mathematics, Chemistry and Electrical Engineering. It covers the following topics: Lagrangian Mechanics, Quantum Mechanical Path Integral, The Schr¨odinger Equation, Linear Harmonic Oscillator, Theory of Angular Momentum and Spin, Quantum Mechanical Addition of Angular Momenta and Spin, Motion in Spherically Symmetric Potentials, Interaction of Charged Particles with Electromagnetic Radiation, Many–Particle Systems, Relativistic Quantum Mechanics, Spinor Formulation of Relativistic Quantum Mechanics and Symmetries in Physics.
Author(s): K. Schulten
397Pages
This book explains the following topics related to Quantum Mechanics: Principles of Classical Mechanics, Failure of Classical Mechanics, Principles of Quantum Mechanics, Applications of Quantum Mechanics, The Rotating Planar Oscillator, Dirac Formulation.
Author(s): Peter S. Riseborough
500Pages
This note covers the following topics: Introduction to Superposition, Experimental Facts of Life, The Wave Function, Expectations, Momentum, and Uncertainty , Operators and the Schrödinger Equation, Time Evolution and the Schrödinger Equation, Energy Eigenstates and Quantum Harmonic Oscillator.
Author(s): Prof. Allan Adams, Prof. Matthew Evans and Prof. Barton Zwiebach
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