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Course Description Course Name : Low Dimensional Quantum Systems I Course Code : FZ 487 Course Type : Optional Level of Course : First Cycle Year of Study : 4 Course Semester : Fall (16 Weeks) ECTS : 4 Name of Lecturer(s) : Asst.Prof.Dr. BERRİN ÖZDEMİR Learning Outcomes of the Course : A student that completes this course satisfactorily knows how to write and solve Schrödinger equation in one dimension; knows the meaning of wave function and how to use it; knows the probability density and expectation values. Knows wave mechanics and Schrödiner´s equation Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To introduce the Schrödinger equation to the students and to find solutions to it for the quantum wells, quantum wires, and quantum dots that form at heterostructures. The student gains experience by working on one dimensional simple problems that forms the basis of more complex problems. Course Contents : Wave mechanics and Schrödinger´s equation, free particles, bound particles, charge and current density, operators, band structure in one dimension, motion of electrons in energy band, density of states, band structure in two and three dimensions, phonons. 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 Wave mechanics, particle and de Broglie wave Make preparation related with subject lecture, discussion 2 Review of quantum physics and Schrödinger´s equation Make preparation related with subject lecture, discussion 3 Bound and free particle Make preparation related with subject lecture, discussion 4 Solution of Schrödinger´s equation for an infinite potential well Make preparation related with subject lecture, discussion 5 The discrete nature of energy eigenvalues in the problem of infinite potential well Make preparation related with subject lecture, discussion 6 Probability, current and charge density Make preparation related with subject lecture, discussion 7 Density of states Make preparation related with subject lecture, discussion 8 mid-term examination mid-term examination mid-term examination 9 semiconductors and their properties Make preparation related with subject lecture, discussion 10 Fermi energy, Fermi-Dirac distribution function, doping in semiconductors Make preparation related with subject lecture, discussion 11 The periodic potenstial and motion of an electron in this potential Make preparation related with subject lecture, discussion 12 energy band structure Make preparation related with subject lecture, discussion 13 Bragg´s law and the realation between Brag´s law and band gap Make preparation related with subject lecture, discussion 14 Acoustic phonons Make preparation related with subject lecture, discussion 15 Optic phonons Make preparation related with subject lecture, discussion 16/17 final examination final examination final examination   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  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)  Semiconductors for Micro and Nano Technology, J. G. Korvink, A. greiner, Wiley (2002)  The Physics od Semiconductors, M. Grundmann, Springer (2006) 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