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Course Description Course Name : Low Dimensional Quantum Systems II Course Code : FZ 488 Course Type : Optional Level of Course : First Cycle Year of Study : 4 Course Semester : Spring (16 Weeks) ECTS : 4 Name of Lecturer(s) : Asst.Prof.Dr. BERRİN ÖZDEMİR Learning Outcomes of the Course : Knows how the potential wells are created and learns two dimensional systems Knows how the triangular potential well is created experimentally and can write down the Schrödinger equation for that system Knows how to obtain a quadratic potential well and writes the Schrödinger equation for the system Finds the enrgy levels and the associated wave functions for quadratic potential well knows the effects of magnetic field on charged particles knows how to write Schrödinger´s equation in two dimension in the presence of electric field Knows the properties of a two diemnsional system in the presence of a magnetic field Knows approximation methods Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : The purpose of this course is to introduce the Schrödinger equation to the students; solve it under various potentials, electric and magnetic fields. The student also learns how to solve the Schrödinger equation approximately using perturbation methods. Course Contents : Potential wells and two dimensional systems, motion of charged particles in the presence of electric and magnetic fields, Schrödinger´s equation in the presence of electric and magnetic fields, approximation methods, time independent perturbation method, variational methods. Language of Instruction : Turkish Work Place : Lecture halls of Arts and Science Faculty   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Potential wells Make preparation related with subject lecture, discussion 2 One dimensional quantum wells and two dimensional systems Make preparation related with subject lecture, discussion 3 The discreetness of energy levels in potential wells Make preparation related with subject lecture, discussion 4 Triangular potential well in one dimension Make preparation related with subject lecture, discussion 5 Creation of one dimensional quadratic potential well Make preparation related with subject lecture, discussion 6 Solution of Schrödingers´s equation in a one dimensional quadratic potential well Make preparation related with subject lecture, discussion 7 motion of charged particles in the presence of magnetic fields Make preparation related with subject lecture, discussion 8 mid-term examination mid-term examination mid-term examination 9 Effects of magnetic field on two dimensional systems Make preparation related with subject lecture, discussion 10 Schrödinger´s equation in the presence of a magnetic field Make preparation related with subject lecture, discussion 11 The Fermi energy level Make preparation related with subject lecture, discussion 12 Approxiamtion methods Make preparation related with subject lecture, discussion 13 Finding the energy levels of a finite square potential well by graphical methods Make preparation related with subject lecture, discussion 14 The perturbation method Make preparation related with subject lecture, discussion 15 Variational methods Make preparation related with subject lecture, discussion 16/17 final examination   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Semiconductors for Micro and Nano Technology, J. G. Korvink, A. greiner, Wiley (2002)  The Physics od Semiconductors, M. Grundmann, Springer (2006)  The Physics of Low Dimensional Semiconductors, John H. Davies, Cambridge University Press, Cambridge (1998)  Low Dimensional Semiconductor Structures, Eds. K. Barnham, D. Vvedensky, Cambridge University Press (2001) Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 100     Homeworks/Projects/Others 1 0 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 Have knowledge of a foreign language at least monitoring developments in the field of physics. 0 2 Know the importance of individual development. 5 3 Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. 3 4 Design experiments in the field of physics. 0 5 Explain the basic concepts and principles in the field of physics. 5 6 Evaluate the developmets in the field of Physics by using scientific methods and techniques. 5 7 Combine the knowledge in the field of physics with the other scientific area. 4 8 Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. 5 9 Explain the methods of producing scientific knowledge in the field of physics. 5 10 Reach the Information in the field of physics, for the purpose of classification, and uses. 4 11 Use the advanced theoretical and practical knowledge acquired in the field of physics. 4 12 Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. 1 13 Use the information technologies in Physics area for their purpose. 2 14 Take responsibility as a team or alone to overcome the problems encountered in the field of physics . 2 15 Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. 0 16 Classify, use and critically evaluate the knowledg taken by his/her efforts. 4 17 Know that learning process is life-long and acts accordingly. 2 18 Both with colleagues, as well as off the field of builds relationships ethically use information, communication technologies. Define necessities in learning in scientific, social, cultural and artistic areas and improve himself/herself accordingly. 1 * 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 1 5 5     Mid-term Exams (Written, Oral, etc.) 1 2 2     Final Exam 1 2 2 Total Workload: 93 Total Workload / 25 (h): 3.72 ECTS Credit: 4