PHYS-251 Intro to Quantum Mech I
I2 PF Solving the Schrodinger Equation
NEBRASKA WESLEYAN UNIVERSITY
SPRING 2012 – 2013
Solving the Schrodinger Equation. Study section 2.1, and complete the following:
1.
Write down the (time dependent) Schrodinger Equation for a particle constrained to lie along the x axis and subject
to a potential energy V(x).
2.
What is the form of the solution (x, t) to the Schrodinger equation in the case that the method of separation of
variables is used?
3.
If (x, t) is a wave function, then (in general) what kind of wave would it represent? On the other hand, what kind
of wave does the separable solution represent? (The author does not mention this specifically, but it is worth
thinking about.) In the space below, can you draw these two kinds of waves?
4.
Explain how a separable solution produces a separation constant.
5.
Explain how the time independent “stationary states” are used to “build” any arbitrary wave function.
DEAN SIEGLAFF
Created: 25 JAN 2013
Modified:
1 of 1