This note explains
the following topics:Quantum Mechanics in Hilbert Spaces, Symmetries,
One-Particle Bound States in R3, Quantum Mechanics in L2(R3), Spin in
Quantum Mechanics, Combining Angular Momentum Eigenstates, Quantum Mechanics
of Identical Particles, Approximation Methods for Stationary States,
Elementary Scattering Theory and Elements of Formal Scattering Theory.
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.
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.
This lecture note
explains the following topics: Hamilton’s Formalism of Classical Physics, State
Vectors and Operators, The Position and Momentum Observables, Quantum Dynamics,
The Harmonic Oscillator, Angular Momentum, Central Potential, Density Operator,
Time Independent Perturbation Theory, Time-Dependent Perturbation Theory, Path
Integration, Adiabatic Approximation, Light Matter Interaction, Open Quantum
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.
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.
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.
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