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(52206)  Theoretische Physik II (Quantenmechanik) für LA und Nanoscience

 

Wintersemester 2016/2017

Prof. Dr. F. Evers, Dr. D. Hernangómez Pérez

News

  • First lecture starts on October, 17
  • Warm-up exercise sessions on October, 18/19/20!
  • Graded exercise sessions start the following week
    (from October, 25)
    Sign up on-line to your preferred exercise session on the LSF until October, 20
  • Gruppe 1 (Dienstag) exercise session has been cancelled
  • Check below important information about the final exam.
  • Additional session for questions February, 7; 13:15 – 14:45; Raum PHY 3.1.24
  • Check below important information about the second exam. Registration in FlexNow is closed.
  • Course is dimissed. Thank you for your participation!

Lectures (4 SWS)

Montag, 12:15 – 13:45; Raum: H33
Donnerstag, 8:15 – 9:45; Raum: PHY 9.2.01
wavefunction
 

Exercises (2 SWS)

  • Gruppe 1: Dienstag, 13:00 – 15:00; Raum: PHY 5.0.21 → Cancelled
  • Gruppe 2: Mittwoch, 11:30 – 13:00; Raum: PHY 9.1.08
  • Gruppe 3: Mittwoch, 15:00 – 17:00; Raum: PHY 9.1.10
  • Gruppe 4: Donnerstag, 13:00 – 15:00; Raum: PHY 5.1.01
  • Gruppe 5: Donnerstag, 12:00 – 14:00; Raum: 2.0.31 (first two sessions), Raum: H33 (afterwards)

Rules for the exercises

Problem solving is crucial to really understand the material taught in the lectures. Therefore, you should try to work out the exercises by yourselves. In order to motivate you to do so, the following rules apply:

  • Each week there will be an exercise sheet.
  • At the beginning of each exercise session, you check in the list which problems are you prepared to present on the blackboard.
    Based on that list, one student will be randomly selected to present her/his solution.
  • In order to participate in the final exam, you have to check at least 50% of the total points over the course of the semester.
  • Academic integrity: cheating will not be tolerated!

Wir wünschen Ihnen viel Erfolg bei der Quantenmechanik!

Beratungstutorium zur Übung

Donnerstag, 17:00 – 18:30; Raum: PHY 5.0.20.


Final exam

Donnerstag, February 9; 8:00 (sharp!) – 10:00. Raum: PHY 9.2.01
Allowed aids ("Hilfsmittel"): 2 sheets of A4 paper with hand-written theory notes, doubled-sided.
Not allowed: books, lecture notes, exercise sheets or any electronic devices (calculators, etc.).

Exam correction

Donnerstag, February 9; 12:00-14:00; Raum: H33.

Exam results

List of grades (by Matr.-Nr.)
"Klausureninsicht": Montag, February 13; 11:00-12:00, Office Prof. Evers (PHY 3.1.25)

Second exam

Donnerstag, April 27; 9:00 (sharp!) – 11:00. Raum: PHY 9.1.10
Allowed aids ("Hilfsmittel"): 2 sheets of A4 paper with hand-written theory notes, doubled-sided.
Not allowed: books, lecture notes, exercise sheets or any electronic devices (calculators, etc.).

Exam results

Please, contact Dr. Daniel Hernangómez Pérez, office PHY 3.1.24.


Syllabus

Prerequisites

This course presumes the following mathematical background: complex numbers, elementary linear algebra, basic mathematical analysis (differential and integral calculus, Fourier series), ordinary and partial differential equations. The student should also understand elementary classical mechanics (Newton's formulation) and have some notions of electromagnetism.

Contents

  • Wellen und Teilchen: Historische Einführung
  • Wellenmechanik: Schrödingergleichung
  • Eindimensionale Quantensysteme
  • Zentralkraftproblem und Wasserstoffatom
  • Bewegung im elektromagnetischen Feld
  • Drehimpuls und Spin. Addition von Drehimpulsen
  • Mehrelektronensysteme
  • Verschränkte Zustände

Problem sheets

Updated versions with typos corrected

  • Blatt 0 (Discussion: October, 18/19/20) - not graded
  • Blatt 1 - deutschprachige version here - (Discussion: October, 25/26/27)
  • Blatt 2 - deutschprachige version here - (Discussion: November, 2/3)
  • Blatt 3 - deutschprachige version here - (Discussion: November, 9/10)
  • Blatt 4 - deutschprachige version here - (Discussion: November, 16/17)
  • Blatt 5 - deutschprachige version here - (Discussion: November, 23/24)
    Note: new version with corrected definition of the wavefunction amplitudes [Aufgabe 1.(a)].
  • Blatt 6 - deutschprachige version here - (Discussion: November, 30 / December, 1)
  • Blatt 7 - deutschprachige version here - (Discussion: December, 7/8)
  • Blatt 8 - deutschprachige version here - (Discussion: December, 14/15)
  • Blatt 9 - deutschprachige version here - (Discussion: December, 21/22)
  • Blatt 10 - deutschprachige version here - (Discussion: January 11/12) - Christmas sheet
  • Blatt 11 - deutschprachige version here - (Discussion: January, 18/19)
  • Blatt 12 - deutschprachige version here - (Discussion: January, 25/26)
    Note: new version with corrected definition for the wavefunction [Aufgabe 1].
  • Probeklausur - deutschprachige version here - (Discussion: February, 1/2)

Literature

Recommended texts (deutschprachige und englischprachige)

  1. Quantenmechanik (QM I),
    F. Schwabl,
    Springer - Lehrbuch (2007). 

  2. Introduction to Quantum Mechanics,
    D. J. Griffiths,
    Pearson Prentice Hall (2004). 
  3. Quantenmechanik (Band 1 und 2)
    C. Cohen-Tannoudji, B. Diu, F. Laloë,
    de Gruyter (2009 und 2010). 
  4. Modern Quantum Mechanics,
    J. J.  Sakurai (autor), S. F. Tuan (Herausgeber),
    Prentice Hall (1993).

Further reading

  1. Quantum Mechanics: Non-Relativistic Theory,
    L. D. Landau, E. M. Lifshitz,
    Elsevier (1981). 
  2. The Principles of Quantum Mechanics,
    P. A. M. Dirac,
    Oxford University Press, 4th edition (1988).
  3. The Feynman Lectures on Physics, Vol.III: Quantum Mechanics,
    R. P. Feynman, R. B. Leighton, M. Sands,
    Basic Books, New Millenium Ed. (2011).
  4. Lectures on Quantum Mechanics,
    S. Weinberg,
    Cambridge University Press, 2nd edition (2015)

 

 
Last modified: 9th Jan, 2018 by Daniel Hernangomez