QUANTUM MECHANICS FOR APPLICATIONS IN NANOELECTRONICS | FFF165 |

**Aim**

Most treatments of quantum mechanics have begun from the historical basis of the application to nuclear and atomic physics. This generally leaves the important topics of quantum well, tunneling, periodic potential, nanostructures, quantum electron transport, and quantum devices until the late in the course or even out of the course. This puts the students who are interested in solid state electronics and solid state physics at a disadvantage. Thus there is a need for a quantum mechanic course that concentrates primarily on examples taken from the new realm of artificially structured materials and small devices in solid state electronics. The purpose of this quantum mechanics course is to fulfill the need. Students will receive the materials in an order that concentrates on the important aspects of solid state electronics and the modern aspects of quantum mechanics that are becoming more and more used in everyday practice in this area. The topics and the examples used to illustrate the topics will be chosen from recent experimental studies, in the areas, which are important in todays development toward nanoelectronics including modern microelectronics, heteroepitaxially grown heterostructures, quantum well and superlattice structures, nanostructures, etc.

The course is taught in strong interaction with students participations in solving the problems taken from recent experiments in the area of nanostructures and nanoelectronics devices.

*Knowledge and understanding*

For a passing grade the student must

- be able to describe electronic structures and electron transport properties of nanostructures based on principles of quantum mechanics
- should be familiar and confident with the use of wave functions and operators to study quantum phenomena and quantum dynamics.
- should be able to apply the quantum mechanics to solid state nanostructures, such as semiconductor heterostructures, nanowires, superlattices and other modern nanostructures.

*Skills and abilities*

For a passing grade the student must

- be able to understand/grasp quantum mechanics concepts employed in recent research articles in the area of nanostructure physics and devices
- be able to apply the quantum mechanics to solid state nanostructures, such as semiconductor heterostructures, nanowires, superlattices and other modern nanostructures
- know what the tunneling effect is and how the effect can be described based on quantum mechanics
- be able to calculate electrical and optical properties of nanostructures

**Contents**

The course covers the following materials: 1. Foundations for quantum mechanics; 2. Electronic structure in semiconductor quantum structures; 3. Tunneling effects and quantum devices; 4. The harmonic oscillator and LC-circuit quantization; 5. Basic function, operators, and quantum dynamics; 6. Stationary perturbation theory and effects of electrical fields; 7. Time-dependent perturbation theory and optical transition rate.

**Literature**

David K Ferry, Quantum Mechanics: An Introduction for Devices Physicists and Electrical Engineers, 2nd ed. (IOP publishing, Bristol, 2001); ISBN 0-7530-0725-0.