Theoretical Physics 3 (Quantum Mechanics)
Module PH0007 [ThPh 3]
Module version of SS 2019
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|SS 2020||SS 2019||SS 2017||SS 2016||SS 2011|
PH0007 is a semester module in German language at Bachelor’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Mandatory Modules in Bachelor Programme Physics (4th Semester)
- Physics Modules for Students of Education
If not stated otherwise for export to a non-physics program the student workload is given in the following table.
|Total workload||Contact hours||Credits (ECTS)|
|270 h||120 h||9 CP|
Responsible coordinator of the module PH0007 in the version of SS 2019 was Norbert Kaiser.
Content, Learning Outcome and Preconditions
1 Particle and Waves
2 States and measurements
3 Time Evolution
4 One-dimensional potentials
5 Approximative Methods
6 Symmetry transformatikons
7 Schrödinger equation in the central field
8 Applications: Two-state systems
9 Mixed states: density matrix
10 Entangled states, entanglement entropy
A Mathematical foundations
After successful participation, students are able to:
1. understand the implications of Schrödinger's equation and how to describe states with wave functions
2. solve Schrödinger's equation for one-dimensional problems and interpret the solution
3. apply the bra-ket formalism
4. solve the hydrogen atom and other basic problem in three-dimensions
5. explain the concept of spin and the Stern Gerlach experiment
6. solve problems that involve two quantum states
7. solve problems using approximate methods
8. understand the concept of density matrices and quantum entanglement
PH0005, PH0006, MA9201, MA9202, MA9203, MA9204
for students studying bachelor of science education mathematics / physics: PH0005, PH0006, PH0003, MA9937, MA9938, MA9939, MA9940
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||4||Theoretical Physics 3 (Quantum Mechanics)||Vairo, A.||
Mon, 08:30–10:00, PH HS1
Wed, 10:00–12:00, PH HS1
|UE||2||Open Tutorial for Theoretical Physics 3 (Quantum Mechanics)||
Responsible/Coordination: Vairo, A.
Wed, 12:00–14:00, ZEI 0001
|UE||2||Exercise to Theoretical Physics 3 (Quantum Mechanics)||
Responsible/Coordination: Vairo, A.
|dates in groups||
Learning and Teaching Methods
Lecture: black-board presentation
Open tutorial: The open tutorial provides the opportunity for solving the exercises for oneself or as a group. The open tutorial is overseen by different tutors an leaves room for further discussions and exchange with other students.
Tutorial: The tutorial is held in small groups. In the tutorial the weekly exercises are presented by the students and the tutor. They also provide room for discussions and additional explanations to the lectures.
Blackboard or powerpoint presentation
accompanying informations on-line
D.J. GRIFFITHS, Introduction to Quantum Mechanics, Prentice Hall.
Good introductory materials.
F. SCHWABL, Quantenmechanik, Springer.
Highler level of detail and good presentation
J.L. BASDEVANT, J. DALIBARD, Quantum Mechanics, 2005.
Cleanly worked out; discusses both the mathematical basics as well as conceptual questions. Focuses allso an new experiments and applications.
R. SHANKAR, Principles of Quantum Mechanics, 2011.
Includes a mathematical description. Quite detailed.
M. LE BELLAC, Quantum Physics, 2012. Sorgfältige Darstellung, aber auf
quite high-level. Not useful as the only sorce for the first contact with Quantum Mechanics
J.J. SAKURAI, J.J. NAPOLITANO Modern Quantum Mechanics, 2010.
Good textbook which is also on a higher level.
R.P. FEYNMAN, R.B. LEIGHTON, M. SANDS, Feynman Vorlesungen über Physik III: Quantenmechanik, 1988.
Feynmans remarkable style with very detailed explanations. Not as systematic as other books.
Description of exams and course work
There will be a written exam of 90 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested exemplarily at least to the given cognition level using calculation problems and comprehension questions.
For example an assignment in the exam might be:
- set-up and solution of the Schrödinger equation for a particle in a potential and interpretation of the solutions
- interpretation of the physical consequences of a given wave function
Participation in the exercise classes is strongly recommended since the exercises prepare for the problems of the exam and rehearse the specific competencies.
There will be a bonus (one intermediate stepping of "0,3" to the better grade) on passed module exams (4,3 is not upgraded to 4,0). The bonus is applicable to the exam period directly following the lecture period (not to the exam repetition) and subject to the condition that the student passes the mid-term of obtaining 80% of the total points of the problem sets.
The exam may be repeated at the end of the semester.