In Section 3 we introduced the KleinGordon equation (formula (3.2)). Although it is a fundamental equation in relativistic quantum mechanics, it does not really fit the quantum world framework. The wave function does not completely describe the state of a particle at time . This is because the KleinGordon equation is a second order differential equation in time variable (unlike the Schrödinger equation). In this post we will discuss a way to take a ‘squareroot’ of the KleinGordon equation.

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