ch38-p056 - 56. (a) Using Euler’s formula eiφ = cos φ +...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: 56. (a) Using Euler’s formula eiφ = cos φ + i sin φ, we rewrite ψ(x) as ψ ( x ) = ψ 0 eikx = ψ 0 ( cos kx + i sin kx ) = (ψ 0 cos kx ) + i (ψ 0 sin kx ) = a + ib, where a =ψ0 cos kx and b = ψ0 sin kx are both real quantities. (b) The time-dependent wave function is ψ ( x , t ) = ψ ( x )e − iωt = ψ 0eikx e −iωt = ψ 0ei ( kx −ωt ) = [ψ 0 cos( kx − ωt )] + i[ψ 0 sin( kx − ωt )]. ...
View Full Document

This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online