Schrödinger equation describes evolution of wave function from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac
The Schrödinger equation is the fundamental equation of quantum mechanics. It describes how the state of a system evolves over time. In particular, it specifies how the wave function of a system changes in response to the system's Hamiltonian operator. The Hamiltonian operator represents the total energy of the system, including both kinetic and potential energy. The Schrödinger equation is a partial differential equation that is typically written in the form of an eigenvalue equation. In this form, the equation relates the Hamiltonian operator to the wave function of the system. The eigenvalues of the Hamiltonian operator correspond to the energy levels of the system, and the eigenfunctions are the possible wave functions of the system. The time-dependent Schrödinger equation describes how the wave function evolves over time. It specifies how the wave function changes with time by relating the time derivative...
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