This preview shows page 1. Sign up to view the full content.
Unformatted text preview: not even suspected for the massive particles in 1911. 039 qfull 00600 2 3 0 moderate math: complex numbers Extra keywords: (HRW977:66E) 3. A complex number z is dened by z = x + iy , where x and y are real numbers and i = 1 is imaginary. The real part of z is x = Re[ z ] and the imaginary part is y = Im[ z ] The complex conjugate of z is dened by z = x iy . a) What is zz ? b) Prove that ( z 1 z 2 ) = z 1 z 2 . c) Prove that p 1 z P = 1 z . d) Prove that p z 1 z 2 P = z 1 z 2 . 039 qfull 00700 2 5 0 moderate thinking: Schrodinger eqn. 4. Do the following. a) Verify that the full timedependent wave function ( x,t ) = ( x ) e iEt/h reduces the full timedependent Schrodinger equation h 2 2 m 2 x 2 + V ( x ) = ih t to the timeindependent Schrodinger equation h 2 2 m 2 x 2 + V ( x ) = E...
View
Full
Document
 Fall '06
 Buchler
 Physics, Photon

Click to edit the document details