2009.03.27-ECE659-L28-notes

2009.03.27-ECE659-L28-notes - ECE 659 Quantum Transport:...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 659 Quantum Transport: Atom to Transistor Lecture 28: Spin Orbit Interaction II Supriyo Datta Spring 2009 Notes prepared by Samiran Ganguly H s 2 1 V 1 2 D(E) E 2 1 Schrodinger Equation: x1 differential equation Dirac Equation: x4 differential equation ( 29 ( 29 2 p qA p qA i qV t m + + + = a a a a 1x1 differential equation p i B A A E V t = - = = -- a a a a a 4x4 differential equation ( 29 ( 29 2 2 mc I c p qA i qV t c p qA mc I + + = +- a a a a a a , , , p are all 2x2 matrix, I is a 2x2 identity matrix . z x y x y z p p ip p p ip p - = +- a a If V and A are 0, the solution is a plane wave: / ikx iEt e e- E-k relation for Dirac Equation: E k With a higher order approximation we get another term which is a relativistic correction term and is the spin-orbit coupling...
View Full Document

Page1 / 4

2009.03.27-ECE659-L28-notes - ECE 659 Quantum Transport:...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online