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 nanodevices and
systems, are solely determined by quantummechanical 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 quantummechanical calculations, discuss the consequences of Heisenberg’s
uncertainty principle for nanostructures 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 
A1

2. 
Master the calculus of quantum mechanics and the mathematical tools 
A1

3. 
Learn computational methods for electronics structure analysis 
A1


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: 9783319317403
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: mfronzi@shibaura.itac.jp
Nonregionallyoriented course
Development of social and professional independence
 Course that cultivates an ability for utilizing knowledge
 Course that cultivates a basic problemsolving 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