Answer to Question #110956 in Quantum Mechanics for Kailash

Question

Obtain an expression of probability for finding the free particle at position x confined in a box of length a

Answer 1

The wave-function of a free particle at position x confined in 1-dimensional a box of length a can be found from Schrodinger equation:

$$\psi=\sqrt{\frac{2}{a}}\text{ sin}\bigg[\frac{\pi n}{a}x\bigg]$$