Lecture 23

# Lecture 23 - ( 29 ( 29 ( 29 = Φ- & 142 43 describes...

This preview shows pages 1–5. Sign up to view the full content.

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( 29 ( 29 ( 29 = Φ- & 142 43 describes non-instantaneous responses ' t B t t t F t dt r for a generalized field , the response for the property is F B ( 29 ( 29 ( 29 ϖ ϖ ϖ χ ϖ χ ϖ- = = Φ t t B F e t dt i after effect function (describes a possible delay between the perturbation and the response) measure electric current flowing as a response to a Field. σ r ur J electric current, conductivity tensor, E applied field α α α α α α α α α = xx xy xz x x y yx yy yz y z zx zy zz z J E J E J E ϖ to find dependence, we look into - field, and average over a period of time when Field is on t dependent ( 29 ( 29 ( 29 ( 29 = Φ- r 142 43 2 describes non-instantaneous responses ' +O E Laplace- convolution t J t t t E t dt ( 29 ( 29 ϖ ϖ ϖ ϖ σ ϖ- = = uuuuur r r J where each component is given by i t E x e x t ( 29 ( 29 = - & r r consider the field as a perturbation, the interaction between total dipole moment and field t M E t h ( 29 ( 29 = - or (for the interaction on the direction) t M E t a a h a ( 29 Ψ + = Ψ h t t H = H h i H o ( 29 ( 29 ϖ ψ ψ ψ- Ψ = = m t m m m m m m t t e E o i a H ( 29 ( 29 ( 29 ( 29 = = = (only one state is populated) 1 0 for m if the perturbation is small, n m k k t t n t a a a a ( 29 ( 29 ϖ ϖ ψ ψ-- Ψ = + n m t t n m m n m t e t e i i a ( 29 ( 29 ( 29 ϖ ϖ ψ ψ-- = - ' where ' ' m n t t m m n t e t dt i a i h G = G charges current in the direction J charge x velocity b b b ( 29 ( 29 ( 29 Ψ Ψ Ψ the expectation value of the current J for the state t t J t b b ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ϖ ϖ ϖ ϖ ϖ ϖ ϖ ϖ ϖ ϖ ψ ψ ψ ψ ψ ψ---- Ψ Ψ = + + + ' ' ' ' ' ......
View Full Document

## This note was uploaded on 05/29/2011 for the course CHM 6461 taught by Professor Bowers during the Spring '08 term at University of Florida.

### Page1 / 17

Lecture 23 - ( 29 ( 29 ( 29 = Φ- & 142 43 describes...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online