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Quantum physics for engineering

SYLLABUS

 

 

Course outline

 Quantum physics has not only been central in answering fundamental questions in science, but has served to further our capability to design and exploit phenomena for applications in materials engineering, electrical engineering and of course applied physics. Devices such as semiconductor lasers, light-emitting diodes, and transistors cannot be understood without considering quantum physics. This course provides the background in this field of essential engineering based on various application examples for devices.

So, the purpose of this course is
•This course provides a basis for semiconductor physics, quantum confinements, band structure engineering,  light-matter interaction, and wave-mechanical descriptions of electrons, photons, and phonons*.

• Semiconductors such as LEDs, Laser diodes, and transistors are mostly closely related with quantum physics.

• Nanoscale materials are described based on quantum physics since the wave properties are revealed better in small scale. Therefore, semiconductors (mostly 2-dimensional quantum wells, useful for devices) and novel nano-materials (e.g., Graphene, TMDCs, BTS) are discussed based on quantum physics.

Text book and reference 

Textbook
•Quantum mechanics: fundamentals and applications to technology ** by J. Singh: This is good summary of all. Ch. 4-6 are good for applications.

• Nanoscale energy transport and conversion by G. Chen: this is modernized version for engineering students. Ch. 2-3 have especially full with intuitive pictures.

•Recommended references:
-송희성, 양자역학, all-around mathematical descriptions which are easy to follow  (written in Korean).

-(advanced) Wave mechanics applied to semiconductor heterostructures by G. Bastard. The author developed the variational method for calculating wavefunctions in electrical devices.

-(advanced) The physics of low-dimensional semiconductors by J. H. Davies. Dimensionality is discussed well.
 

* This is the carrier of heat and not fully developed in contrast to electronics and photonics, which implies the importance of further research. It will be dealt with when we have enough time and students ask related questions.
**Pre-requisites: Nothing specific as long as you can solve differential equations, but  refer to Appendix A (p. 474~) of Singh and Ch. 1 of Chen for basics if you are not familiar with basics before we deal with Schrodinger Eq.. 
 

Schedule

 

Week

Description

*Remarks

1st

Class overview (today) and basics of waves  (Wed. day)

 Chen Ch. 2*

2nd

Wave nature of matter

 Chen Ch.2 

3rd

Schrödinger equation

 Chen Ch. 2

4th

Particle in a quantum well

 Che Ch. 2 /Singh Ch. 3.3

5th

Harmonic Osicllator

 Chen/Ch. 2/Singh Ch. 3.4

6th

Particle in a periodic potential

 Singh Ch. 3.5

7th

Midterm exam

 

 

 

 

 

 

 

 

 

Weekly Course Schedule (8~16 weeks)

Week

Description

*Remarks

8th

Tunneling

 Singh Ch. 4

9th

Spherical symmetric potential 

 Singh Ch. 5

10th

Spherical symmetric potential 

 Singh Ch. 5

11th

Symmetries and conservation laws

 Singh Ch. 6

12th

Time-independent approximations

 Singh Ch. 8

13th

Time-dependent approximations

 

14th

Variational method

 Bastard Ch. 13**

15th

Contemporary application examples

 

16th

Final exam

 

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