Derivation of the Schrödinger equation III: the Central Limit Theorem

Abstract

In this paper, we show that the Central Limit Theorem is deeply ingrained in the mathematical and physical structure of Quantum Mechanics. We show, furthermore, that the Central Limit Theorem provides us with a clarification of the assumptions made by other quantization processes – in particular those using the notion of expansion of some variable up to second order.

Keywords

• Central Limit Theorem
• Mathematical derivation
• Schrödinger equation
• Teaching of Quantum Mechanics