This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (3.9) Using this we can guess a wave equation of the form (3.10) Actually using the definition of energy when the problem includes a potential, (3.11) (when expressed in momenta, this quantity is usually called a "Hamiltonian") we find the timedependent Schrödinger equation (3.12) We shall only spend limited time on this equation. Initially we are interested in the timeindependent Schrödinger equation, where the probability is independent of time. In order to reach this simplification, we find that must have the form (3.13) If we substitute this in the timedependent equation, we get (using the product rule for differentiation) (3.14) Taking away the common factor we have an equation for that no longer contains time, the timeindepndent Schrödinger equation (3.15) The corresponding solution to the timedependent equation is the standing wave ( 3.13 )....
View
Full
Document
This note was uploaded on 11/09/2011 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.
 Fall '10
 DavidJudd
 Physics

Click to edit the document details