Information
Course Goal / Objective
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 Content
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.
Course Precondition
Resources
Notes
Low Dimensional Semiconductor Structures, Eds. K. Barnham, D. Vvedensky, Cambridge University Press (2001)
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows how the potential wells are created and learns two dimensional systems |
| LO02 | Knows how the triangular potential well is created experimentally and can write down the Schrödinger equation for that system |
| LO03 | Knows how to obtain a quadratic potential well and writes the Schrödinger equation for the system |
| LO04 | Finds the enrgy levels and the associated wave functions for quadratic potential well |
| LO05 | knows the effects of magnetic field on charged particles |
| LO06 | knows how to write Schrödinger´s equation in two dimension in the presence of electric field |
| LO07 | Knows the properties of a two diemnsional system in the presence of a magnetic field |
| LO08 | Knows approximation methods |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the basic concepts and principles in the field of physics. | |
| PLO02 | - | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | |
| PLO03 | - | Combine the knowledge in the field of physics with the other scientific area. | |
| PLO04 | - | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | |
| PLO05 | - | Explain the methods of producing scientific knowledge in the field of physics. | |
| PLO06 | - | Reach the Information in the field of physics, for the purpose of classification, and uses. | |
| PLO07 | - | Use the advanced theoretical and practical knowledge acquired in the field of physics. | |
| PLO08 | - | Design experiments in the field of physics. | |
| PLO09 | - | Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. | |
| PLO10 | - | Use the information technologies in Physics area for their purpose. | |
| PLO11 | - | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | |
| PLO12 | - | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | |
| PLO13 | - | Classify, use and critically evaluate the knowledg taken by his/her efforts. | |
| PLO14 | - | Know that learning process is life-long and acts accordingly. | |
| PLO15 | - | 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. | |
| PLO16 | - | Have knowledge of a foreign language at least monitoring developments in the field of physics. | |
| PLO17 | - | Know the importance of individual development. | |
| PLO18 | - | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Potential wells | Make preparation related with subject | |
| 2 | One dimensional quantum wells and two dimensional systems | Make preparation related with subject | |
| 3 | The discreetness of energy levels in potential wells | Make preparation related with subject | |
| 4 | Triangular potential well in one dimension | Make preparation related with subject | |
| 5 | Creation of one dimensional quadratic potential well | Make preparation related with subject | |
| 6 | Solution of Schrödingers´s equation in a one dimensional quadratic potential well | Make preparation related with subject | |
| 7 | motion of charged particles in the presence of magnetic fields | Make preparation related with subject | |
| 8 | mid-term examination | mid-term examination | |
| 9 | Effects of magnetic field on two dimensional systems | Make preparation related with subject | |
| 10 | Schrödinger´s equation in the presence of a magnetic field | Make preparation related with subject | |
| 11 | The Fermi energy level | Make preparation related with subject | |
| 12 | Approxiamtion methods | Make preparation related with subject | |
| 13 | Finding the energy levels of a finite square potential well by graphical methods | Make preparation related with subject | |
| 14 | The perturbation method | Make preparation related with subject | |
| 15 | Variational methods | Make preparation related with subject | |
| 16 | final examination | ||
| 17 | final examination |