The probability that a particle is in a given small region of space is proportional to ?

The probability that a particle is in a given small region of space is proportional to ?

Explanation

In quantum mechanics, the wave function psi(x, t) describes the quantum state of a particle.

The probability density of finding the particle at a particular position in space is given by:


P(x) = |psi(x, t)|^2

This means:

  • The square of the magnitude (or absolute value) of the wave function gives the probability per unit length (or volume) of finding the particle in that region.

  • This principle is known as the Born interpretation.