Answer to Question #137616 in Field Theory for Sneha

Question

What is position probability density.

Answer 1

Solution

In Quantum mechanics position probability density tells to finding a particle in particular range.

Consider a particle is probable to find in a to bthen position probability density is given by

$P=\frac{\int^a_b\psi^*\psi d\tau}{\int_{all \space}\psi^*\psi d\tau}$

For all space

$P={\int_{all \space}\psi^*\psi d\tau}$

$P={\int_{all \space}|\psi |^2d\tau}=1$