M0165000
2 Nanostructure Physics II
The second part of this lecture concerns the importance of quantum mechanics to describe effects in the nanoworld. The properties
of new nanoscale materials, their fabrication and applications, as well as the operational principles of nano-devices and
systems, are solely determined by quantum-mechanical laws and principles. We will outline the basic principles of quantum
mechanics (QM), the axioms, the Schrödinger equation, and the required mathematical tools like perturbation theory. In this
lecture, we will solve several basic examples of quantum-mechanical calculations, discuss the consequences of Heisenberg’s
uncertainty principle for nano-structures and present the tunnelling effect as an important example, which is the base for
scanning tunnelling microscopy.
To learn about the importance of quantum mechanics for nanostructures. To Understand the underlying principle of scanning
tunnelling microscopy
The students will get an introduction to quantum mechanics and the necessary mathematical tools. Several calculations will
be carried out, including the QM description of the tunnelling effect, which is the base for scanning tunnelling microscopy.
|
Goals and objectives |
Course Outcomes |
1. |
Learn about the importance of quantum mechanics for nanostructures |
A-1
|
2. |
Master the calculus of quantum mechanics and the mathematical tools |
A-1
|
3. |
Learn computational methods for electronics structure analysis |
A-1
|
|
Class schedule |
HW assignments (Including preparation and review of the class.) |
Amount of Time Required |
1. |
Introduction – problem of classical physics in atomic scale |
Review of the lecture |
100分 |
Read the handouts |
90分 |
2. |
Basic principles of QM: The axioms |
Read the hand out view of the lecture |
100分 |
Read the handouts |
90分 |
3. |
The Schrödinger equation |
Review of the lecture |
100分 |
Read the handouts |
90分 |
4. |
The Uncertainty principle |
Review of the lecture |
100分 |
Read the handouts |
90分 |
5. |
Potential well |
Review of the lecture |
100分 |
Read the handouts |
90分 |
6. |
Perturbation theory |
Review of the lecture |
100分 |
Read the handouts |
90分 |
7. |
Exercises – calculus |
Review of the lecture |
100分 |
Read the handouts |
90分 |
8. |
Midterm exam and discussion on the solutions |
Preparation for midterm exam |
200分 |
9. |
QM consequences for nanostructures |
Review of the lecture |
100分 |
Read the handouts |
90分 |
10. |
Tunnelling I: Basic calculations |
Review of the lecture |
100分 |
Read the handouts |
90分 |
11. |
Computational methods for electronics structure analysis I |
Review of the lecture |
100分 |
Read the handouts |
90分 |
12. |
Computational methods for electronics structure analysis II |
Review of the lecture |
100分 |
Read the handouts |
90分 |
13. |
Computational methods for electronics structure analysis III |
Review of the lecture |
100分 |
Read the handouts |
90分 |
14. |
Final exam and discussion on the solutions |
Preparation for final exam |
200分 |
Total. |
- |
- |
2680分 |
Relationship between 'Goals and Objectives' and 'Course Outcomes'
|
midterm exam |
final exam |
Total. |
1. |
10% |
20% |
30% |
2. |
15% |
20% |
35% |
3. |
15% |
20% |
35% |
Total. |
40% |
60% |
- |
Evaluation method and criteria
The students will be evaluated based on their:
midterm exam, activity during the class (presentation and discussion) will contribute 40% of the grade;
final exam will contribute 60% of the grade.
Students need at least 60% of the full score to pass this course.
Textbooks and reference materials
1. C. Papadopoulos, Nanofabrication, principles and applications, Springer 2016, ISBN: 978-3-319-31740-3
2. Some scientific papers will be handed out
Office hours and How to contact professors for questions
- Office hour Mondays and Tuesdays 9am to 5pm
- email: m-fronzi@shibaura.it-ac.jp
Non-regionally-oriented course
Development of social and professional independence
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic problem-solving skills
Most classes are interactive
Course by professor with work experience
Work experience |
Work experience and relevance to the course content if applicable |
N/A |
N/A |
Education related SDGs:the Sustainable Development Goals
Feedback on exams, assignments, etc.
Last modified : Mon Mar 20 17:43:11 JST 2023