136.019 Quantum Mechanics I
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2022W, VU, 5.0h, 10.0EC


  • Semester hours: 5.0
  • Credits: 10.0
  • Type: VU Lecture and Exercise
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to explain fundamental experiments and theoretical foundations of quantum mechanics. Students are proficient in Dirac's formalism, basic operator algebra and are able to solve simple single-particle problems (e.g. free particle, harmonic oscillator, hydrogen atom) employing various mathematical techniques. Furthermore students understand basic principles of the quantum mechanical description of physical variables (e.g. angular momentum, spin).

Subject of course

Foundations of quantum mechanics: fundamental experiments, Schrödinger equation, wave mechanics, Dirac formalism, eigenvalue problems, scattering theory, angular momentum and spin, harmonic oscillator, measurement processes in quantum theory, hydrogen atom, perturbation theory.

Teaching methods

Involving students in the lecture by asking questions, tutorials to solve problems independently and to present the results as well as plena to discuss and reiterate difficult or complex topics.

Mode of examination


Additional information

Registration required via TISS - unitl latest 6.10.2022 23:59
Sign off via TISS - unitl latest 31.10.2022 23:59

Cancelled: Wednesday, 5.10. 2022 09:00 FH HS 5 (held by Tobias Schäfer)

First Lecture: Thursday, 6.10.2022 09:00 FH HS 5

First Exercises: Friday, 14.10. 2022 9:00

Weekly Lectures and Exercise Classes:

Tuesday 9:00-10:00 Lectures
Wednesday 9:00-10:00 Lectures
Thursday 9:00-10:00 Lectures
Friday: 9:00-10:00 Exercises


planned at the following Mondays from 9:00-10:00:
10.10, 17.10, 07.11, 14.11, 28.11., 23.01




Course dates

Wed09:00 - 10:0005.10.2022 - 25.01.2023 FH HS5Vorlesung
Thu09:00 - 10:0006.10.2022 - 26.01.2023 FH HS5Vorlesung
Mon09:00 - 10:0010.10.2022 - 23.01.2023 FH HS5Plenum
Tue09:00 - 10:0011.10.2022 - 24.01.2023 FH HS5Vorlesung
Fri09:00 - 10:0014.10.2022 - 20.01.2023 Gruppeneinteilung auf TUWEL beachtenTutorium
Mon09:00 - 10:0024.10.2022 FH HS5Vorlesung
Fri12:00 - 15:0018.11.2022 Gruppeneinteilung beachtenQT1 Erster Test
Fri09:00 - 11:0027.01.2023 Gruppeneinteilung beachtenQT1 Zweiter Test
Quantum Mechanics I - Single appointments
Wed05.10.202209:00 - 10:00 FH HS5Vorlesung
Thu06.10.202209:00 - 10:00 FH HS5Vorlesung
Mon10.10.202209:00 - 10:00 FH HS5Plenum
Tue11.10.202209:00 - 10:00 FH HS5Vorlesung
Wed12.10.202209:00 - 10:00 FH HS5Vorlesung
Thu13.10.202209:00 - 10:00 FH HS5Vorlesung
Fri14.10.202209:00 - 10:00 Gruppeneinteilung auf TUWEL beachtenTutorium
Mon17.10.202209:00 - 10:00 FH HS5Plenum
Tue18.10.202209:00 - 10:00 FH HS5Vorlesung
Wed19.10.202209:00 - 10:00 FH HS5Vorlesung
Thu20.10.202209:00 - 10:00 FH HS5Vorlesung
Fri21.10.202209:00 - 10:00 Gruppeneinteilung auf TUWEL beachtenTutorium
Mon24.10.202209:00 - 10:00 FH HS5Vorlesung
Tue25.10.202209:00 - 10:00 FH HS5Vorlesung
Thu03.11.202209:00 - 10:00 FH HS5Vorlesung
Fri04.11.202209:00 - 10:00 Gruppeneinteilung auf TUWEL beachtenTutorium
Mon07.11.202209:00 - 10:00 FH HS5Plenum
Tue08.11.202209:00 - 10:00 FH HS5Vorlesung
Wed09.11.202209:00 - 10:00 FH HS5Vorlesung
Thu10.11.202209:00 - 10:00 FH HS5Vorlesung

Examination modalities

Two written exams (80%):

18.11.2022 at 12:00 and 27.1.2023 at 9 am
In each exam 40% of the points are needed as a minimum.

An additional test on 31.3.2023 starting at 9:00 in the FH Hörsaal 1 - MWB replaces the exam in which less points have been gained.

Duration of tests: 2 hours; exam tasks from lectures and tutorials; you are allowed to take with you: pen(s). Student ID.


Tutorium (20%):

The prepared exercises can be marked with a cross online in the TUWEL. The tutors use the crosses list to randomly select students for presentations. Each student must present at least two times. Voluntary presentation is not possible. The presentation is not graded.

If a cross is found to be unjustified during the presentation, all the crosses for this week will be deleted for this person. A cross is justified if the person can show that he or she has worked intensively on the task and was able to work out a solution (regardless of whether the solution is right or wrong).

There will be 10 exercise sheets with 5 crosses for each, totaling 50 crosses. 45 crosses correspond to 100% of the crosses. Additional crosses count as extra points, which further improve the overall grade. The crosses are only valid for attending students. A minimum of 12 crosses is needed for the exercise sheets 1-5. Furthermore a minimum of 12 crosses is needed for the exercise sheets 6-10.

Overall grade:

The overall grade is composed of the tutorium (20%) and two written exams (80%). 50% of the combined points are required to pass.

[87.5%,100.0%] => Note 1
[75.0%, 87.5%) => Note 2
[62.5%, 75.0%) => Note 3
[50.0%, 62.5%) => Note 4
[00.0%, 50.0%) => Note 5



DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri - 15.11.2024written03.11.2024 17:00 - 08.11.2024 23:59TISSQT1 1.Prüfung

Course registration

Begin End Deregistration end
21.09.2022 00:00 06.10.2022 23:59 31.10.2022 23:59

Registration modalities

Please register in TISS for this course and the exercise groups until 7.10.2020. 


Study CodeObligationSemesterPrecon.Info
033 201 Technical Mathematics Mandatory elective
033 261 Technical Physics Mandatory5. Semester
860 GW Optional Courses - Technical Mathematics Not specified


"script" for the course is available (buying it cannot replace attendening the lectures though). Lecture notes and presentations (slides) will be made available after each lecture in tuwel.

Further reading:

1.) A. Messiah, Quantum Mechanics, 2 Vols (North Holland)
2.) C. Cohen Tannoudji et al., Quantum Mechanics, 2 Vols (McGraw-Hill)
3.) L. I. Schiff, Quantum Mechanics (McGraw-Hill)
4.) L.D. Landau u. E. M. Lifshitz, Quantenmechanik (Lehrbuch der Theoretischen Physik, Vol. III)
5.) F. Schwabl, Quantenmechanik (Springer)

Preceding courses

Continuative courses


  • Attendance Required!