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
This book
covers the following topics: The classical description of a particle, Hilbert
space formalism, Group theory, Lie algebra, The Green function approach, The
evolution operator, Scattering theory, Quantum mechanics in practice, Dynamics
and driven systems.
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 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.
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.
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 Schršodinger 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,
ManyParticle Systems, Relativistic Quantum Mechanics, Spinor Formulation of
Relativistic Quantum Mechanics and Symmetries in Physics.
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.