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 2021  SS 2020  SS 2019  SS 2017  SS 2016  SS 2011 
Basic Information
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 nonphysics 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
Content
Introduction
Literature
1 Particle and Waves
2 States and measurements
3 Time Evolution
4 Onedimensional potentials
5 Approximative Methods
6 Symmetry transformatikons
7 Schrödinger equation in the central field
8 Applications: Twostate systems
9 Mixed states: density matrix
10 Entangled states, entanglement entropy
A Mathematical foundations
Learning Outcome
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 onedimensional problems and interpret the solution
3. apply the braket formalism
4. solve the hydrogen atom and other basic problem in threedimensions
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
Preconditions
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
Type  SWS  Title  Lecturer(s)  Dates  Links 

VO  4  Theoretical Physics 3 (Quantum Mechanics)  Vairo, A. 
Mon, 08:30–10:00, virtuell Wed, 10:00–12:00, virtuell 
eLearning 
UE  2  Open Tutorial for Theoretical Physics 3 (Quantum Mechanics) 
Kivel, N.
Steinbeißer, S.
Responsible/Coordination: Vairo, A. 
Wed, 12:00–14:00, virtuell and singular or moved dates 

UE  2  Exercise to Theoretical Physics 3 (Quantum Mechanics) 
Kivel, N.
Steinbeißer, S.
Responsible/Coordination: Vairo, A. 
dates in groups 
eLearning 
UE  2  Large Tutorial to Theoretical Physics 3 (Quantum Mechanics)  Kaiser, N. 
Mon, 12:00–14:00, PH HS1 and singular or moved dates 
eLearning 
Learning and Teaching Methods
Lecture: blackboard 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.
Media
Blackboard or powerpoint presentation
accompanying informations online
Literature
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 highlevel. 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.
Module Exam
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:
 setup 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 midterm of obtaining 80% of the total points of the problem sets.
Exam Repetition
The exam may be repeated at the end of the semester.
Current exam dates
Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.
Title  

Time  Location  Info  Registration 
Exam to Theoretical Physics 3 (Quantum Mechanics)  
Thu, 20211007, 14:15 till 15:45  MW: 2001 
Beachten Sie die Informationen zur Prüfungsteilnahme während der COVID19Pandemie unter https://www.tum.de/dietum/aktuelles/coronavirus/coronalehrepruefungen/. // See https://www.tum.de/en/abouttum/news/coronavirus/coronavirusexams/ for further information on exams during the COVID19 pandemic.  till 20210927 (cancelation of registration till 20211007) 