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Module Number:
| 14289
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| Module Title: | Computational Quantum Physics |
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Computergestützte Quantenphysik
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| Department: |
Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
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| Responsible Staff Member: | -
Prof. Dr. rer. nat. Gorelova, Darya
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| Language of Teaching / Examination: | English |
| Duration: | 1 semester |
| Frequency of Offer: |
Every winter semester
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| Credits: |
6
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| Learning Outcome: | After successfully completing the module, students will be able to solve complex physical problems by means of computer coding and simulations. Students are familiar with various numerical methods that are used in quantum mechanics, as well as in other fields. Students are extensively experienced in writing codes for solving problems numerically. Students have in-depth knowledge of quantum mechanics and can deal with quantum dynamical processes. |
| Contents: | Numerical approaches:Lancos algorithm, Monte Carlo algorithm, Machine Learning, Numerov algorithm, Cranck-Nicolson Algorithm, Runge-Kutta algorithm, etc. Approximate solutions of the time-dependent Schrödinger equation. Calculations of the temporal evolution of a wave-function, electron density, spin state, spectra, taking into account decoherence.Programming languages: C++ or python. |
| Recommended Prerequisites: | Knowledge of quantum mechanics on the level of a physics bachelor. Knowledge of C++ or python. |
| Mandatory Prerequisites: | None |
| Forms of Teaching and Proportion: | -
Lecture
/ 2 Hours per Week per Semester
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Exercise
/ 2 Hours per Week per Semester
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Self organised studies
/ 120 Hours
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| Teaching Materials and Literature: | - Philipp O.J. Scherer. Computational Physics. Simulation of Classical and Quantum Systems.
- Rubin H. Landau, Manuel Jose Paez, Cristian C. Bordeianu. Computational Physics. Problem Solving with Computers.
- Jos Thijssen. Computational Physics.
- Joshua Izaac and Jingbo Wang. Computational Quantum Mechanics.
- Tannor, David J. Introduction to Quantum Mechanics: A Time-Dependent Perspective.
- F. Grossmann. Theoretical Femtosecond Physics. Atoms and Molecules in Strong Laser Fields.
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| Module Examination: | Prerequisite + Final Module Examination (MAP) |
| Assessment Mode for Module Examination: | Prerequisite:
- Successful completion of of exercise assignments (50% must be reached)
Final module examination:
- Written examination, 90 min. (Solving tasks on the computer )
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| Evaluation of Module Examination: | Performance Verification – graded |
| Limited Number of Participants: | None |
| Part of the Study Programme: | -
Master (research-oriented) /
Physics /
PO 2021
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| Remarks: | - Study programme Physics M.Sc.: Compulsory elective module in the complexes „Physical Specialization with Theoretical Focus“, topic area „Theory, Simulation and further topics“
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| Module Components: | - Lecture: Computational Quantum Physics
- Accompyning exercises
- Related examination
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| Components to be offered in the Current Semester: | |
