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Atom- och molekylfysik FYSC11 - HT 2012


Omtenta - Re-exam

The re-exam will take place on Tuesday, 15 January 2013. Please register with Mikael Antic not later than 8 January if you want to take the exam - registration is compulsory.

Updated schedule

Updated schedule (1 September 2012)

Compulsory hand-in exercises

First hand-in problem sheet (due 14 September)
Second hand-in problem sheet (due 23 September)
Third hand-in problem sheet (replacement for problem sheet 1) (due 19 October)
Fourth hand-in problem sheet (to be solved by student who have not achieved an average of 70% or more for the first two hand-in problem sheets)


Planning and reading suggestions

List of subjects and reading suggestions


Compendium, covering QM intro and hydrogen atom

Compulsory reading and exercises for following lecture

For Friday, 7 September

Please read the following passages of the compendium:
Repetition of lecture of 5 September: chapters 1, 3.1-3.2.6
New material: chapters 3.2.7-3.3.2, 2

The exercise for Friday is: in 3d-space, write the projector onto the vector (5,3,1) and project the vector (4,4,3) onto the vector (5,3,1).

For Monday, 10 September

Please read the following passages of the compendium:
From start of section 3.4 to equation (4.29). Don't solve tasks on pp 62/63.

Show that the square of the spin angular momentum commutes with any component of the spin angular momentum.

For Tuesday, 11 September

Please read the remaining part of the compendium.

From the tasks on pp 62/63, show that ωl-ml2 ≥ 0.

For Thursday, 13 September

Please read the following passages of Demtröder (available as e-book from University Library (choose Lovisa)):
Sections 5.2, 5.3, 5.4
If you can make it get also started with passages 5.6 and 5.7.

No exercise for Thursday ...

For Friday, 14 September

Reading: section 5.6 - 5.8 in Demtröder.

Exercise: Calculate the relativistic corrections for the hydrogen atom in states with orbital angular momentum quantum number 3.

For Monday, 17 September

Reading: remaining parts of chapter 5 and section 6.3 in Demtröder

Exercise: -

For Tuesday, 18 September

Reading: section 6.1 in Demtröder.

Exercise: What is the Zeeman splitting of the helium transition 2 2S1/2 → 3 2P1/2?

For Wednesday, 19 September

Reading: section 6.2 in Demtröder.

Exercise: Calculate the eigenvalues to the eigenstates χ1 and χ4.

For Thursday, 20 September

Reading: section 6.4 in Demtröder.

Exercise: -

For Monday, 24 September

Reading: section 6.5 in Demtröder.

Exercise: Determine the term symbols for the helium ground state and three lowest excited states in helium.

For Tuesday, 25 September

Reading: section 11.2.2 in Demtröder.

Exercise: Determine the allowed states for a p3 configuration.

For Monday, 15 October

Reading: no reading.

We will take about the Einstein coefficients and lasers (read in Demtröder sections 7.1, 8.1 and 8.4).

For Tuesday, 16 October, and Wednesday, 17 October

Reading: Demtröder section 9.5, if you manage also 9.4.


The exam will take place on Friday, 26 October, between 14.00 and 19.00 in Sparta, hall D.

As a preparation for the exam, you should look at the following things:

  • hand-in problems,
  • labs,
  • practice questions below,
  • reading according to the List of subjects and reading suggestions (you *don't* have to read all the books, choose a book that suits you - but remember that you (in principle) have to cover all topics),
  • homework according to this page.

In the exam, there will be exercises in which you will be asked to describe a topic (experiment, outline of a theory, physical models, etc.). There will also be exercises where you will have to calculate, similar to what you have done in the hand-in problems, and there will be exercises in which you will have to interpret physical data. No detailed derivation will be required (e.g. of the solution to the Schrödinger equation of the hydrogen atom), but you should know the starting point (e.g. Schrödinger equation), ansatz (e.g. separation of wave function into a radial and an angular part), and principal solution (e.g. that the solution to the angular Schrödinger equation of the hydrogen atom are the spherical harmonics and that the hydrogen energy is -13.6 eV / n2).

Suitable literature

  • W. Demtröder, Atoms, Molecules and Photons, Springer, 2006, available as e-book from the University Library
  • S. Andersson, F. Bruhn, J. Hedman, L. Karlsson, S. Lunell, K. Nilson, & J. Wall, Atom- och molekylfysik, Uppsala universitet
  • H. Haken & H. C. Wolf, The Physics of Atoms and Quanta, Springer, 2005 (or earlier editions), available as e-book from the University Library
  • A. Thorne, U. Litzén, & S. Johansson, Spectrophysics

Practice questions

Practice questions for the exam




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