# Homework Help: Canonical Quantization problem; finding Schroedinget time-dependent equation

1. Apr 20, 2012

### Nimthiriel

1. The problem statement, all variables and given/known data

A particle of mass m is confined in a Pösxhl-Teller potential as defined by:

V(x) = -V0sech2(αx)

Where V0 and α are constants representing the depth and width of the well.

Use canonical quantisation to find the time-depndent Schrödunger equation for a particle in the PT potential.

2. Relevant equations

3. The attempt at a solution

I assumed that I'd be required to Use an operator on this equation and I gathered from various readings that it is related to the Uncertainty Principle.

ΔxΔp≥(h-bar)/2

V(x)p(x) = (h-bar)/i d/dx -V0sech2(αx)

I performed the derivative and didn't get anything useful. I checked it on Wolfram Alpha and my calculus was fine, so I think I'm on the wrong track.

Am I using the right operator? Am I even supposed to use an operator??

Guidance would be appreciated.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution