ch39-p019 - 19 Schrdingers equation for the region x > L is...

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

View Full Document Right Arrow Icon
19. Schrödinger’s equation for the region x > L is d dx m h EU 2 2 2 2 0 8 0 ψ +− = π . If = De 2 kx , then d 2 / dx 2 = 4 k 2 De 2 kx = 4 k 2 and d dx m h k m h 2 2 2 2 0 2 2 2 0 8 4 8 ψψ = ππ This is zero provided k h mU E =− π 2 0 bg The proposed function satisfies Schrödinger’s equation provided k has this value. Since U 0 is greater than E in the region x > L , the quantity under the radical is positive. This means k is real. If k is positive, however, the proposed function is physically unrealistic.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the 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