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  Course Description
Course Name : Low Dimensional Quantum Systems II

Course Code : FK-602

Course Type : Optional

Level of Course : Second Cycle

Year of Study : 1

Course Semester : Spring (16 Weeks)

ECTS : 6

Name of Lecturer(s) : Asst.Prof.Dr. BERRİN ÖZDEMİR

Learning Outcomes of the Course : 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

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : 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.

Course Contents : 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

Language of Instruction : Turkish

Work Place : Lecture halls of the Faculty


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Schrödinger´s equation under electric and magnetic fields investigate the related topic lecture, discussion
2 Solution of Schrödinger´s equation under a uniform electric field for two dimensional systems investigate the related topic lecture, discussion
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
4 Time independent perturbation theory investigate the related topic lecture, discussion
5 Degenerate perturbation theory investigate the related topic lecture, discussion
6 Time dependent perturbation theory investigate the related topic lecture, discussion
7 Variational priciple investigate the related topic lecture, discussion
8 mid-term examination mid-term examination mid-term examination
9 Scattering and Fermi´s golden rule investigate the related topic lecture, discussion
10 Scattering due to impurities investigate the related topic lecture, discussion
11 Optical phonon scattering investigate the related topic lecture, discussion
12 Electron-phonon interaction investigate the related topic lecture, discussion
13 Absorption in quantum wells investigate the related topic lecture, discussion
14 Longe range impurity scattering in a two dimensional electron gas investigate the related topic lecture, discussion
15 Longe range impurity scattering in a two dimensional electron gas (cont´d) and other scattering mechanisms investigate the related topic lecture, discussion
16/17 Final examination Final examination Final examination


  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)
Required Course Material(s)


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 80
    Homeworks/Projects/Others 3 20
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Develop and deepen the knowledge as a specialist in physics or different areas based on the Physics Bachelor´s qualification level. 4
2 Comprehend the importance of multidisciplinary studies related to Physics. 3
3 Use his/her advanced theoretical and practical knowledge in Physics efficiently. 5
4 Integrate and interpret the knowledge from different disciplines with the help of his professional knowledge in Physics and conceptualize new perspectives. 3
5 Solve the problems in Physics by using research methods. 5
6 Carry out a study requiring expertise in physics independently. 5
7 Develop and provide new strategic approaches by taking responsibilty while solving the unexpected problems in Physics . 2
8 Take the responsibility of being the leader while solving the problems related to physical environments. 2
9 Evaluate the knowledge and skills gained in Physics by having a critical view and directs his/her learning. 2
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
11 Take action to change the norms of social relations and critically examine these relationships, and develop them if necessary. 0
12 Make communication in oral and written by using at least one foreign language in the level of European Language Portfolio B2 level. 4
13 Use information and communication technologies in advanced level and use the software related with physics area. 4
14 Oversee social, scientific, cultural and ethical values in order to collect, implement, interpret data in Physics. 3
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
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).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 14 3 42
    Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
    Homeworks, Projects, Others 3 10 30
    Mid-term Exams (Written, Oral, etc.) 1 14 14
    Final Exam 1 14 14
Total Workload: 142
Total Workload / 25 (h): 5.68
ECTS Credit: 6