Comments:

312 pages, June 2, 200, html free downloads of sections in QM Lecture notes I

Abstract:

The book contains fundamental concepts and introduction to Quantum Mechanics. Author's Contents, cited: "Introduction Black-body radiation Photo-electric effect Hydrogen atom Wave particle duality Uncertainty Tunneling Concepts from classical mechanics Conservative fields Energy function Simple example The Schroedinger equation The state of a quantum system Operators Analysis of the wave equation Bound states of the square well Some consequences Lessons from the square well A physical system (approximately) described by a square well Infinite well Zero of energy is arbitrary Solution Scattering from potential steps and square barriers, etc. Non-normalisable wave functions Potential step Square barrier The Harmonic oscillator Dimensionless coordinates Behaviour for large Taylor series solution A few solutions Quantum-Classical Correspondence The formalism underlying QM Key postulates Wavefunction Observables Hermitean operators Eigenvalues of Hermitean operators Outcome of a single experiment Eigenfunctions of Eigenfunctions of Expectation value of and for the harmonic oscillator The measurement process Repeated measurements Ladder operators Harmonic oscillators operators Eigenfunctions of through ladder operations Normalisation and Hermitean conjugates Time dependent wave functions correspondence between time-dependent and time-independent solutions Superposition of time-dependent solutions Completeness and time-dependence Simple example Wave packets (states of minimal uncertainty) computer demonstration 3D Schroedinger equation The momentum operator as a vector Spherical coordinates Solutions independent of and The hydrogen atom Now where does the probability peak? Spherical harmonics General solutions"

Rights:

Open access: Copyright@2005 by Niewls Walet, University of Manchester http://walet.phy.umist.ac.uk/QM/LectureNotes/

Download:

QuantumMechanicsNotesI.htm

Links:

No messages.