Prob-Current2011

Prob-Current2011 - Physical Chemistry Course Number: C362...

Info iconThis preview shows pages 1–2. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Physical Chemistry Course Number: C362 16 Additional reading: Probability Current 1. Consider the time-dependent Schrodinger Equation and its complex conju- gate: h t ( x, t ) = H ( x, t ) = h 2 2 m 2 x 2 + V ( x, t ) (16.10) h t ( x, t ) = H ( x, t ) = h 2 2 m 2 x 2 + V ( x, t ) (16.11) 2. Multiply Eq. ( 16.10 ) by ( x, t ) , and Eq. ( 16.11 ) by ( x, t ) : ( x, t ) h t ( x, t ) = ( x, t ) H ( x, t ) = ( x, t ) h 2 2 m 2 x 2 + V ( x, t ) (16.12) ( x, t ) h t ( x, t ) = ( x, t ) H ( x, t ) = ( x, t ) h 2 2 m 2 x 2 + V ( x, t ) (16.13) 3. Subtract the two equations to obtain (see that the terms involving V cancels out) h t [ ( x, t ) ( x, t )] = h 2 2 m ( x, t ) 2 x...
View Full Document

Page1 / 3

Prob-Current2011 - Physical Chemistry Course Number: C362...

This preview shows document pages 1 - 2. Sign up to view the full document.

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