Born Rule

Introduction to Born Rule - Probability Density

In quantum mechanics, the Born rule establishes the relationship between the state of a quantum system and the probabilities of its possible outcomes. The probability density function, denoted as P(x), determines the probability of finding a quantum system in a specific state. The Born rule states that the probability P(x) is equal to the absolute square of the probability amplitude for finding the system in that state. Mathematically, this can be represented as P(x) = |x|^2.

Parameter usage:

• probability = Probability of finding the quantum system in a specific state

Output:

• P(x) = Probability density

Data validation

The probability should be between 0 and 1.

Summary

The Born rule defines the probability density function in quantum mechanics and is a fundamental concept in the interpretation of quantum mechanics.