FYTA12, statistical part

Schedule

For this part, the lectures are marked with S, the exercises with ÖS, and the SI sessions with SIS in the course schedule.

It consists of two parts:
(S1) Statistical Mechanics (6 hp, given first part of semester),
(S2) Quantum Mechanics (9 hp, given last part of semester).

Literature

Swedish: H.-U. Bengtsson och Patrik Edén (reviderad 2:a uppl.), Grundläggande statistisk fysik och kvantmekanik (for sale at the Theoretical Physics expedition).

(English alternative: to be decided, if needed.)

Weekly planning for vt 2016 (preliminary)

Statistical mechanics part (6 hp)

w 3.: Chpts. 1–3: State variables, entropy, the Boltzmann factor, closed vs. open systems.
w 4.: Chpts. 4–5: Partition function, free energy.
w 5.: Chpts. 6–8: Heat machines, heat capacity, the equipartition principle, black body radiation.
w 6.: Chpts. 9–10: The quantum hypothesis, wave-particle dualism.
(Laboration: Normal modes.)
w 7.: Chpts. 11–12: Heat capacities in quantum systems, identical particles.
w 8.: Chpts. 13–14: Degenerate fermion or boson gases.
(Laboration: Rubber band.)
w 9.: Leftovers and repetition.
w 10.: Repetition. Exam.

Quantum mechanics part (9 hp)

w 11.: Chpts. 15–18: Operators, states, Schrödinger eq., 1-D box.
w 13.: Chpts. 19–22: Parity, id. particles, piecewise const. pot., Mickey Mouse crystal, tunnelling.
(Computer exercise: Bose-Einstein condensation)
w 14.: Chpts. 23–24: Linear algebra, measurements, indeterminacy.
w 15.: Chpts. 25–26: The harmonic oscillator. Static perturbation theory.
w 16.: Chpts. 27–28: Time-dependent perturbation theory. Scattering.
w 17.: Chpts. 29–30: 3-D SE, angular momentum, gen. ang. mom.
w 18.: Chpt. 31: Radial SE. Hydrogen atom. Spin.
(Computer exercise: Scattering)
w 19.: Chpts. 32–34: Spin and its representations; spin in arb. directions
w 20.: Chpts. 35–36: Addition of angular momenta. Bell's inequalities.
w 21.: Leftovers and repetition. Exam.

Distributed notes etc.

Statistical mechanics

Quantum mechanics

Overview of the quantum mechanics part
Answers to exercises
Extra övningsuppgifter i kvantmekanik, med kortfattad facit.
Gamla tentauppgifter, med svar.
Gammal tenta -12 (120601).
Gammal tenta -13 (130530).
Gammal tenta -14 (140605).
Gammal tenta -15 (150529).

Exercises

All exercises in HUB/PE are suitable for training purposes, and the correct answers for some of them are given above.

Tasks treated on exercise sessions

Statistical mechanics

Quantum mechanics

w13.: 15.1, 16.4, 18.3, 20.2, 22.2, 22.4
w16.: 23.1, 24.6, 25.5, 26.3
w17.: Hemgjord uppgift BS-25, 29.1, 30.1, 30.2
w19.: 33.2, 33.4, 34.1, 34.2, 34.4

Hand-in tasks

Solution to be handed in before the following Thursday at 1:15 PM (unless otherwise stated). The tasks should be solved individually, and the solutions should be written in a nice and easily readable manner, or typeset using a computer.

Statistical physics

w5.: Exercise 5.6 in the book.
w7.: Exercise 8.2 in the book.
w9.: Exercise 12.3 in the book.

Quantum mechanics

w14.: Exercise 20.5
w17.: Exercise 26.2
w18.: Exercise 28.1
w20.: Exercise 34.2

Various messages

Fel och oklarheter etc. i HUB/PE:

Uppg. 27.2: Felaktigt uttryck för p_max²/c² i slutet av del (c), ska vara:
((m_n² − m_p² − m_e²)² − 4 m_p²m_e²) / (4 m_n²).

Additional reading

F. Mandl, Statistical Physics (Wiley, 2nd ed.).

B.H. Bransden och C.J. Joachain, Introduction to Quantum Mechanics (Longman Scientific and Technical, 2nd ed.).

J.J. Sakurai, Modern Quantum Mechanics (Addison-Wesley).

Senast ändrad 2016–05–24