ECE 598KH
Quantum Mechanics for Nanoscience and Nanotechnology

This course will discuss the foundations and specific methods of quantum mechanics that apply more directly to problems arising in nano-technology and that are related to nano-electronics, nano-electro-mechanics or even certain nano-biological problems such as transport in ion channels.

Prerequisite: A command of advanced calculus, partial differential equations and Newton’s classical mechanics.
Credit: 4/4

Spring Semester, 2006
Instructor: Professor Karl Hess

SYLLABUS
Contact Info
Bibliography
Lecture Videos and lecture notes
HW's
TOPICS

CONTACT INFO:
3247, BI
Office Hours: TBA
Professor Hess' web page

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BIBLIOGRAPHY:

· W. Harrison, Quantum Mechanics.

· D.K. Ferry, Quantum Mechanics, (An introduction for device physicists and electrical engineers). Second Ed. Institute of Physics, 2001.

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LECTURES:

LECTURE NOTES (pdf format)

Lecture Number/Topic	Video Lecture (indexed)	Notes (PDF)	Video Only (Encoding, Size, Format)
Introduction Quantum Mechanics in Nanotechnology	Video Lecture	Slides	Video Only ( 256kbps, 93 MB, MOV) Video Only ( LARGE , 287 MB, MPG) Video Only ( 768kbps, 144 MB, WMV) Video Only ( 256kbps, 46 MB, WMV)
Introduction Quantum Information	Video Lecture	Slides	Video Only ( 256kbps, 106 MB, MOV) Video Only ( LARGE , 216 MB, MPG) Video Only ( 768kbps, 163 MB, WMV) Video Only ( 256kbps, 52 MB, WMV)
The Bardeen Transfer Hamiltonian Approach to Tunneling and its Application to STM and Carbon Nanotubes By Peter Albrecht	Video Lecture	Slides	Video Only ( 256kbps, 93 MB, MOV) Video Only ( LARGE , 286 MB, MPG) Video Only ( 768kbps, 143 MB, WMV) Video Only ( 256kbps, 45 MB, WMV)
Resonant Tunneling of Electrons: Application of Electromagnetic Concepts to Quantum Mechanic Phenomena By Greg H. Huff	Video Lecture	Slides	Video Only ( 256kbps, 89 MB, MOV) Video Only ( LARGE , 274 MB, MPG) Video Only ( 768kbps, 137 MB, WMV) Video Only ( 256kbps, 43 MB, WMV)

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HOMEWORKS (pdf formatted):

• HW1 (pdf format), Solutions
• HW2 (pdf format), Solutions
• HW3 (pdf format), Solutions
• HW4 (pdf format)
• HW5 (pdf format)
• HW6 (pdf format)

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OUTLINE OF TOPICS

 (a) Foundations

1. Introduction
2. From Newton to Hamilton
3. Hamilton-Jacobi
4. Quantization: Planck, Einstein, DeBroglie
5. Schroedinger’s Condition and Hamilton-Jacobi (Stationary Case)
6. Born’s probabilistic explanation
7. Bohm’s approach and the quantum potential
8. The many-body Schroedinger equation
9. Distribution functions
10. Kohn’s many body density functional theory
11. Local density functional theory
12. Solution for a crystal lattice
13. tight binding
14. pseudo potential

(b) Applications

1. Electronic conduction
2. Landauer-Buttiker
3. Quantum wells, wires dots (single electrons)
4. Many electrons, LDFT, Coulomb blockade, shell filling, quantum capacitance
5. The self-consistent solution: Schroedinger plus Poisson for a problem of nano-mechanics (a rod at given potential above grounded plate)
6. Larger aggregates of atoms in regular and not so regular positions (ionic channels)
7. How and when to use band structure programs (if you do not like to write one yourself)
8. How to use publicly available DFT and MD codes
9. Optics and quantum mechanics
10. Spontaneous and stimulated emission, absorption
11. The optical matrix element
12. Summary

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Last Updated:02/24/2006 (by Salvador Barraza-Lopez)

SYLLABUS | Contact Info | Bibliography | Lecture Videos and lecture notes | HW's | TOPICS