Quantum states evolve according to Schrödinger's equation from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac
The evolution of a quantum state is governed by Schrödinger's equation. This equation describes how the state of a quantum system changes over time. It provides a precise mathematical framework for understanding the dynamics of quantum systems. Schrödinger's equation is a differential equation that relates the time derivative of the quantum state to the Hamiltonian operator, which represents the total energy of the system. The equation is linear and deterministic, meaning that given an initial state, the future state of the system can be uniquely determined. The time evolution described by Schrödinger's equation is unitary, meaning that it preserves the normalization of the quantum state....
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