## Superposition Exercise #5

#### Please answer the following 2 questions
regarding the Physlet:

#### Description

A particle is in a one-dimensional box of length a=1. It
is in a normalized superposition of two states. There is an equal amount
of each state. Shown is Psi^{ }and the results of the integral
that give <x> and <x^{2}>.

Vary n_{1} and n_{2} keeping n_{1}<n_{2}
to avoid double counting and also avoid n_{1}=n_{2}. Vary the quantum
numbers from 1 to 10.

#### Questions

- What do you notice about <x> and <x
^{2}>? Do your
results differ from the states that were not a superposition of states?
- For n
_{1} = 1 n_{2} = 2, what is Dx?

#### Credits

Script by Mario Belloni.

Questions by Mario Belloni.

Java applets by Wolfgang Christian.