Question

In: Physics

What is normalzing a wavefunction and how do you do it step by step? Please show...

What is normalzing a wavefunction and how do you do it step by step? Please show TWO different examples (one for SHO question, an IPW question, etc) Thanks!

Solutions

Expert Solution

WE DEFINE total Probabity of a wave function as for 1 dimention

So one thing we always take is Total Probabity must be 1 so to that we set the

Note: Space in the sense the limits where it can go(some times its all upto infinity(harmonic oscillator or limited to some region(particle in a box).

there are not many steps to do.

1. Calculate the

2. know the entire region where the particle is allowed( integration limits) whether they are 1D,2D or 3D

3. Do the integration and equate to 1

4. Do the basic algegra and find the coefficent to make the wave Normalized

Examples:

I dont understand what is IPW--- I will do for Particle in a box intstead.Its basic and easy to understand.

please see the examples below.


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