This page will be updated at least every week .....

*Latest Change: 18.11.96
*The course started August 26th 1996, at 12.15

We started with comments on the curriculum and start talking about the history and future of AMOS

About the Importance of AMOS:

(our short version)

Link to the AMOS Report, US

The topics covered

- One electron atoms (from Q.M. Courses...)
- Atomic Units: and typical quantities (A very simple Lecture Note)
- Helium atom and two electron atoms
- The role of symmetry (SPIN)
- Independent particle model
- Evaluation of the repulsion Matrix element
- Starting on thursday September 5th: Many electron atoms

Hartree's method: the average interaction, charge density created by the 'other' electrons, selfconsistent field. - Many electron atoms: The Hartree Fock equations

Slater determinants (antisymmetry)

Evaluation of the ground state total energy (with consideratins of the n! terms, orthogonality etc.

The expression with I and K terms - Direct term and exchange term: The non-local potential

excursion to elementary quantum mechanics

The wavefunction - Variational Method of derivation details: The functional, the functional variation (analogue of the differential ), the functional derivative
- IMPORTANT: The Hartree-Fock single electron energies:

The total energy is NOT the sum of all the single electron energies;

The repulsion energy must be subtracted, is counted twice! - Koopmans theorem, which exolains the simple fact, that though

the total energy is NOT the sum of single electron energies,

the ionization energy is still given by the subtraction of the given orbital's single electron energy.

This is a very interesting result,*should be well understood* - The Periodic System
- About the energies and electron wavefunctions

the s-states are lowered compared to p, d, etc states

Explanation in terms of the potential - Now comes time to work with the computer exercise

The Selfconsistent Field Computer Exercises in Stockholm

- Interaction of atoms with light

Here we have a lot of notes to look at. - About harmonic oscillator (creation and annihilation)
- Adnan Baqi's note
- L.Kocbach's handwritten note
- Bransden and Joachains many pages
- We also talked about the calculations ( a model). Here is a new version
of it to be used in MATLAB (follow the links ...)
**Golden Rule Simulator** - More on Fermi's Golden Rule
- Einstein's A and B coefficients, as an introduction to transport - type problems
- Simple theory of lasers: only 4 state lasing systems, based on amplification
**Atoms in strong fields**. A set of notes to read.**Special**: splitting of lines in strong radiation field.- Rotating wave approximation(see the
**Rotating Wave Approximation**in Matlab ). - Basics of Molecular Physics
- Born-Oppenheimer approximation: what is it?
- The hydrogen molecule ion; bonding, antibonding;
- Correlation diagrams;
- Vibrations and Rotations: Spectra; The Dipole Moment
- Atomic Collisions
- The concept of the Cross Section
- Greens function - Born Approximation: Electron Collisions
- Atomic (massive projectiles
- Relativistic Physics: The Dirac Equation
- Dirac Equation, Alpha and Beta Matrices; Small and large Components
- Spin and Spin orbit Coupling in nonrelativistic limit
- Separation of Radial equations
- Phenomena
- What is Zeeman effect
- Spin Orbit; Spectra (Fine Structure)
- Hyperfine Structure
- Exotic Atomic Systems (positronium, muonium, muonic fusion, antiproton atoms)
- Auger Effect and Dielectronic Recombination, Resonances
- Connection with other Fields of Physics
- Nuclear Physics: Shell Model;
*The Internal Conversion* - Particle Physics (QED, parity nonconservation....)
- Solid state physics (ferromagnetism...)

P(r) -> < r | P >

In the week 7th-11th Octber (and some postponed to the next week) we had a series of 'consultation' hours, generally 2 students present. In the following we have most of the topics discussed listed. In the final version, we shal put also the names of the people who asked the questions, because they now are sort of 'experts' on that topic.... Here is a listing of the question formulated as exercises and some comments.

Also, the formulae will be set in as pictures later

The presence of the topic on this list does not at all imply that the topic is more important than any other. But it is naturally important when you want to understand as much as possible.

It would be nice if you read them, check the information about 'who
asked what' and let me know more about it, so that we can update it.

The second round of consultations took place in the weeks. These were
also acompanied by some computer exercises towards the end. Here
is a link to another set of questions

New program (Improved Version with Graphical Interface)

Rotating Wave Approximation

Physics constants

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