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Course Description |
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Course Name |
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Low Dimensional Quantum Systems II |
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Course Code |
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FK-602 |
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Course Type |
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Optional |
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Level of Course |
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Second Cycle |
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Year of Study |
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1 |
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Course Semester |
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Spring (16 Weeks) |
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ECTS |
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6 |
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Name of Lecturer(s) |
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Asst.Prof.Dr. BERRİN ÖZDEMİR |
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Learning Outcomes of the Course |
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Knows how to write Schrödinger equation in the presence of electric and magnetic fields Knows how to find the energy levels of a confined electron in a uniform electric field writes and solves the Schrödinger equation for a two dimensional electron gas under a normal magnetic field Knows how to use approxiamtion methods for those problems that can not be solved in a closed form Knows Fermi´s golden rule Knows the scattering of electrons for doped low dimensional systems Knows the scattering from short range impurities Knows scattering processes that result from phonons
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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It is aimed to investigate the effect of electric and magnetic fields on low dimesional systems and to bring the student to a level so that he/she can solve problems related to
low dimensional systems. |
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Course Contents |
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Low dimensional systems under electric and magnetic fields, approximation methods, Fermi´s golden rule and scatterings, acoustic phonon scattering, optical phonon scattering, remote impurity scattering, short range scatterers |
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Language of Instruction |
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Turkish |
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Work Place |
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Lecture halls of the Faculty |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Schrödinger´s equation under electric and magnetic fields |
investigate the related topic |
lecture, discussion |
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2 |
Solution of Schrödinger´s equation under a uniform electric field for two dimensional systems |
investigate the related topic |
lecture, discussion |
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3 |
The effect of magnetic field on two dimensional electron gas and solution of Schrödinger´s equation for such a system |
investigate the related topic |
lecture, discussion |
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4 |
Time independent perturbation theory |
investigate the related topic |
lecture, discussion |
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5 |
Degenerate perturbation theory |
investigate the related topic |
lecture, discussion |
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6 |
Time dependent perturbation theory |
investigate the related topic |
lecture, discussion |
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7 |
Variational priciple |
investigate the related topic |
lecture, discussion |
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8 |
mid-term examination |
mid-term examination |
mid-term examination |
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9 |
Scattering and Fermi´s golden rule |
investigate the related topic |
lecture, discussion |
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10 |
Scattering due to impurities |
investigate the related topic |
lecture, discussion |
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11 |
Optical phonon scattering |
investigate the related topic |
lecture, discussion |
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12 |
Electron-phonon interaction |
investigate the related topic |
lecture, discussion |
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13 |
Absorption in quantum wells |
investigate the related topic |
lecture, discussion |
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14 |
Longe range impurity scattering in a two dimensional electron gas |
investigate the related topic |
lecture, discussion |
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15 |
Longe range impurity scattering in a two dimensional electron gas (cont´d) and other scattering mechanisms |
investigate the related topic |
lecture, discussion |
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16/17 |
Final examination |
Final examination |
Final examination |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
The Physics low dimensional semiconductor, Davies, Cambridge University Press (1998)
Quantum wells, wires and dots, Harrison, John Wiley and Sons, Inc (1999)
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
3 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Develop and deepen the knowledge as a specialist in physics or different areas based on the Physics Bachelor´s qualification level. |
4 |
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2 |
Comprehend the importance of multidisciplinary studies related to Physics. |
3 |
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3 |
Use his/her advanced theoretical and practical knowledge in Physics efficiently. |
5 |
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4 |
Integrate and interpret the knowledge from different disciplines with the help of his professional knowledge in Physics and conceptualize new perspectives. |
3 |
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5 |
Solve the problems in Physics by using research methods. |
5 |
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6 |
Carry out a study requiring expertise in physics independently. |
5 |
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7 |
Develop and provide new strategic approaches by taking responsibilty while solving the unexpected problems in Physics . |
2 |
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8 |
Take the responsibility of being the leader while solving the problems related to physical environments. |
2 |
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9 |
Evaluate the knowledge and skills gained in Physics by having a critical view and directs his/her learning. |
2 |
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10 |
Systematically transfer the current developments in the field of physics and his/her work to the person in physics field or outside of the field by supporting qualitative and quantitative data. |
3 |
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11 |
Take action to change the norms of social relations and critically examine these relationships, and develop them if necessary. |
0 |
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12 |
Make communication in oral and written by using at least one foreign language in the level of European Language Portfolio B2 level. |
4 |
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13 |
Use information and communication technologies in advanced level and use the software related with physics area.
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4 |
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14 |
Oversee social, scientific, cultural and ethical values in order to collect, implement, interpret data in Physics. |
3 |
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15 |
Develop strategies, policies and implementation plans in the issues related to the field of physics and evaluate the results obtained within the framework of quality processes. |
1 |
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16 |
Use the knowledge, problem solving, and / or practical skills obtained in the Physics Field in interdisciplinary studies. |
3 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
3 |
10 |
30 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
14 |
14 |
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Final Exam |
1 |
14 |
14 |
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Total Workload: | 142 |
| Total Workload / 25 (h): | 5.68 |
| ECTS Credit: | 6 |
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