CN3-QM - 1 1 Selected Topics in Quantum Mechanics EE339...

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Unformatted text preview: 1 1 Selected Topics in Quantum Mechanics EE339 student observed during first quantum mechanics lecture * * a c t u a l l y D r . J o h n P a u l S t a p p u n d e r g o in g a c c e l e r a t io n o n t h e G-W h i z r o c k e t s l e d in 1 9 4 7 . 2 Outline ¡ Disclaimer and Introduction ¡ Some experimental observations ¡ Particle wavefunctions and their interpretation ¡ Eigen-states, measurement, and the Uncertainty Principle ¡ Energy eigenstates ¡ Basic quantum mechanical behaviors by example ¡ Spin, indistinquishability, Pauli exclusion and Fermi statistics ¡ One more example of quantum mechanical behavior: covalent bonding forces ¡ Summary of important concepts 2 3 Introduction and disclaimer As much as we may think of electrons as particles, often times they (and other “particles”) behave more like waves (such as ripples on a pond). This wave nature of particles has a profound effect on the way the universe as a whole and, of specific interest here, solid- state devices work … … and the more so the smaller devices become. 4 However, moving in the opposite direction, the UT-Austin ECE department dropped its requirement for a introduction to modern physics course or even a chemistry course. The choice in this course is then between the “and then a miracle occurs” approach to device physics, or providing an boot-camp-like introduction to the basic concepts of quantum mechanics. And really, with an undergraduate degree in physics (as well as ECE) I feel almost morally obligated to choose the latter (even though it may be painful to some of you not to mention myself). 3 5 DNA: 2-1/2 nm diameter Head of a pin 1-2 mm Human hair: ~60-120 μ m diameter Red blood cells with white cell: ~ 2-5 μ m Ant: ~5 mm Carbon nanotube: ~1-3 nm diameter The Scale of things Microworld 0.1 nm 1 nanometer (nm) 0.01 μ m 10 nm 0.1 μ m 100 nm 1 micrometer ( μ m) 0.01 mm 10 μ m 0.1 mm 100 μ m 1 mil imeter (mm) 1 cm 10 mm 10-2 m 10-3 m 10-4 m 10-5 m 10-6 m 10-7 m 10-8 m 10-9 m 10-10 m Visible Nanoworld 1,000 nanometers = Infrared Ultraviolet Microwave Soft x-ray 1,000,000 nanometers = Microworld 0.1 nm 1 nanometer (nm) 0.01 μ m 10 nm 0.1 μ m 100 nm 1 micrometer ( μ m) 0.01 mm 10 μ m 0.1 mm 100 μ m 1 mil imeter (mm) 1 cm 10 mm 10-2 m 10-3 m 10-4 m 10-5 m 10-6 m 10-7 m 10-8 m 10-9 m 10-10 m Visible Nanoworld 1,000 nanometers = Infrared Ultraviolet Microwave Soft x-ray 1,000,000 nanometers = Quantum corral (48 iron atoms on copper positioned with an STM tip) (IBM): 14nm diameter Length of switchable conduction channel in current state-of-the-art MOSFETs: 25 nm Length of switchable conduction channel in MOSFETs by ~2012: 14 nm Width of switchable conduction channel in current state-of-the-art MOSFETs (~2-3 nm) 6 Beyond CMOS (??): an excerpt from the 2005 International Roadmap for Semiconductors (ITRS), Emerging Research Devices 4 7 However, in the immortal words of Douglas Adam’s Hitchiker’s Guide to the Galaxy , “Don’t panic.” I am under no delusions...
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This note was uploaded on 02/03/2009 for the course EE 339 taught by Professor Banjeree during the Spring '08 term at University of Texas.

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CN3-QM - 1 1 Selected Topics in Quantum Mechanics EE339...

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