(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle that can move in one dimension and that is in a stationary state, is bound by a potential V(x) = (1/2)kx^2. The wave function is [tex]\Psi[/tex](x,t) = [tex]\psi[/tex](x)exp(-iEt/[tex]\hbar[/tex])

We look at a state in which [tex]\psi[/tex](x) = Aexp(-x^2/2a^2a^2), where a is a constant and A is the normalisation constant. Determine a so that [tex]\psi[/tex](x) is an energy state. What is the energ of the particle?

3. The attempt at a solution

I don't really know what to do here, but setting up the wave equation tends to be a good start:

H[tex]\psi[/tex](x) = E[tex]\psi[/tex](x), where H = -([tex]\hbar[/tex]^2/2m)(d^2/dx^2) + kx^2/2

How can I determine a so that [tex]\psi[/tex](x) is an energy state?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Particle bound by quadratic potential

**Physics Forums | Science Articles, Homework Help, Discussion**