2009.03.13-ECE659-L25-notes

2009.03.13-ECE659-L25-notes - e e --+ = = = 2 2 B z B z B t...

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ECE 659 Quantum Transport: Atom to Transistor Lecture 25: Spin Matrices I Supriyo Datta Spring 2009 Notes prepared by Samiran Ganguly
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z B A P 2 cos θ light 2 cos 2 1 μ 2 0 α A P spin 0 β :cos :sin cos :sin sin z x y φ 2 2 :cos 2 :sin 2 i i up e down e - + Vectors: Spinors:
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Hanle Effect: ˆ ˆ ˆ 0 ˆ 0 B z B z z z B z B z μ - - - B Ag atoms Stern Gerlach Experiment Bohr Magneton: ( 29 23 2 2 3 10 3 2 2 10 10 10 10 1 B q m Am A m A Ang - - - - = = = × = ×
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2 3 23 2 29 3 6 10 10 10 Id M d Am m A m - - = = = 0 0 1 0 0 1 B z B z B z B u u d i B d d dt u B d μ = -   = -   Components of vector: , , x y z S S S 2 2 0 B z x y B z y y y B d S S dt B d S S dt d S dt = - = = 0 1 0 2 1 0 0 0 0 0 x x B z y y z z S S B d S S dt S S -   =   dhDh± 2 2 ( ) (0) cos 2 ( ) (0) sin 2 B z B z B z B t i i B t i i du i B u dt u t u e e d t d
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Unformatted text preview: e e --+ = = = 2 2 B z B z B t B d dt = = 2 1 1 z x x B x y y z z x L S S B d S S dt S S L =- dhDh 2 B d S B S dt = a a a Rotation matrices: , , , , x y z x y z L L L x y y x z L L L L L-=...
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This note was uploaded on 01/30/2011 for the course ECE 659 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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2009.03.13-ECE659-L25-notes - e e --+ = = = 2 2 B z B z B t...

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