PHYS261- Atomic Physics and Physical Optics
Physical Optics
Part PHYS261 can be found bellow
Atomic physics Part PHYS261
- 0 - Physics of atoms - Introduction - Hydrogen-like
- 1 - Helium and two electron atoms
- 2 - Many electron atoms
- 3 - Light - Atom Interaction
0. Physics of atoms -
Introduction
History
Hydrogen and hydrogen-like ions
Quantum Mechanics
Textbook facts, Schrödinger Equation
Wavefunctions
Spectra, Selection rules
Rydberg atoms
1. Helium and two electron atoms
Coordinate system, Schrödinger
Equation
Two electrons and spin
Helium spectra
Symmetry and Antisymmetry of wavefunctions
Parahelium and Orthohelium
Approximations to describe helium atom
Evaluation of repulsion term - Radial Integral
Exchange interaction
Variational method
Doubly excited states of Helium
2. Many electron atoms
Pauli-principle
and Hund’s rule
Antisymmetric functions for n-particles
Filling Shells
Ionization energies
Hartree Method - Selfconsistent field
Configurations
Screened potential and Centrifugal barrier
Slater Determinants
Helium example
Lithium example - Counting nonzero
terms
Schrödinger equation from
variational method
Variational method - deriving Hartree-Fock Equations
Total energy and the selfconsistent orbital energies
Evaluation of electron repulsion
Configuration mixing
3. Light - Atom Interaction
Overview of physical phenomena involved
Time dependent QM
Quantum Theory of Electromagnetic Field
Charged Particles In an Electromagnetic Field
Time dependent QM
Two-well problem vs One level in
continuum
Time-Dependent Schrödinger Equation Perturbation theory for TDSE
Dirac delta-function
Fermi Golden Rule
Density of States
Constant rate and exponential decay
Line width from exponential decay
Golden Rule Simulator Time-Dep. Schrödinger Eq. in
Simulator
Quantum Theory of
Electromagnetic Field
Eigenmodes for coupled
vibrations.
Algebraic Method for Harmonic Oscillator
Quantum Theory of extended systems - fields
Charged Particles In an
Electromagnetic Field
The Hamiltonian of Interaction
Emission of Radiation by
Excited Atom
The matrix element reduction
Dipole Approximation
Detailed Evaluation of Emission rate
Final W = 1 / T result ( T - lifetime )
Stimulated emission
Outline of the Course - Physical Optics part
Study materials:
There will be distributed detailed
notes during the lecture period (for both parts).
References to other books and texts will be given throughout the
lectures.
It is not necessary to purchase a specific book.
Exam:
The examination is oral and will take place in the first part of
December. The precise date will be agreed on,
depending on the needs of the students.
- Maxwell’s Equations
- Linearity and Superposition Principle
- Phase Velocity and Group Velocity
- Pulse Propagation in a Dispersive Medium
- Harmonic Plane Waves - Polarisation
- Reflection and refraction of a plane wave
- Generalisation of the reflection law and Snell’s law
- Reflectance and transmittance
- Unpolarised light (natural light)
- Rotation of the plane of polarisation upon reflection and
refraction
- Boundary Value Problems
- Rayleigh-Sommerfeld’s and Kirchhoff’s diffraction integrals
- Diffraction problems
- Fresnel diffraction
- Fraunhofer diffraction
- Circular aperture
- Rectangular aperture
- Focusing and imaging
- Electromagnetic radiation problems
- Field radiated by a localised source
- Field due to a point source - Green’s function
- Field radiated by a dipole
- Retarded solution of the wave equation
- Asymptotic diffraction theory