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Course Description Course Name : Low Dimensional Quantum Systems I Course Code : FK-607 Course Type : Optional Level of Course : Second Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 6 Name of Lecturer(s) : Asst.Prof.Dr. BERRİN ÖZDEMİR Learning Outcomes of the Course : Knows the quantum well, a bound particle and how to find its energy levels Can find the density of states for a one, two and three dimensional system Knows the Bloch theorem Understands why an electron moving in a solid can not take all energy values and knows what a valence and conduction band is Can write down the equations of motion for optic and acoustic phonons and can solve them Knows what a single and multiple heterostructure is and knows how the energy band profiles form. Knows the relation between quantum wells and low dimensional systems Can write down the Schrödinger equation for two dimensional systems and can solve it Can write down the Schrödinger´s equation in zero and one dimensions and can solve it. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : It is aimed to familiarize the students with low dimensional quantum systems and teach them quantum mechanics and solid state physics that is enough to study in the area of low dimensional systems Course Contents : Review of band structure in semiconductors; crystal structure; restricting particle motion to low dimensions, heterostructures; two, one and zero dimensional quantum systems. Language of Instruction : Turkish Work Place : Seminar room of Physics Department   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Schrödinger´s equation and making it time independent Study the relevant subjects lecture, discussion 2 Quantum well and finding the energy levels of a particle whose motion is restricted Study the relevant subjects lecture, discussion 3 Calculation of density of states in one, two and three dimensions Study the relevant subjects lecture, discussion 4 Bloch´s theorem and its application Study the relevant subjects lecture, discussion 5 Study of electron motion in a crystal Study the relevant subjects lecture, discussion 6 Dispersion of optic and acoustic phonons Study the relevant subjects lecture, discussion 7 Band structure calculation with tight binding method Study the relevant subjects lecture, discussion 8 mid-term examination mid-term examination mid-term examination 9 Heterostructures and their fabrication Study the relevant subjects lecture, discussion 10 Doping of Heterostructures, the band profile Study the relevant subjects lecture, discussion 11 Schrödinger´s equation for two dimensional systems Study the relevant subjects lecture, discussion 12 Solution of Schrödinger´s equation for square, triangular an parabolic wells Study the relevant subjects lecture, discussion 13 Schrödinger´s equation for one and zero dimensional systems Study the relevant subjects lecture, discussion 14 Solution of Schrödinger´s equation for one dimensional systems Study the relevant subjects lecture, discussion 15 Solution of Schrödinger´s equation for zero dimensional systems Study the relevant subjects 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. 5 2 Comprehend the importance of multidisciplinary studies related to Physics. 5 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. 5 5 Solve the problems in Physics by using research methods. 4 6 Carry out a study requiring expertise in physics independently. 4 7 Develop and provide new strategic approaches by taking responsibilty while solving the unexpected problems in Physics . 3 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. 0 13 Use information and communication technologies in advanced level and use the software related with physics area. 0 14 Oversee social, scientific, cultural and ethical values in order to collect, implement, interpret data in Physics. 0 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. 0 16 Use the knowledge, problem solving, and / or practical skills obtained in the Physics Field in interdisciplinary studies. 0 * 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