An explanation of the Schrodinger equation?

Question

What is the Schrodinger equation? What does a wave function actually MEAN? I have a very very basic knowledge of calculus(integral and differential). A simplified explanation would be preferred.

Answer 1

In quantum mechanics, the Schrodinger equation is a partial differential equation that describes how the quantum state of some physical system changes with time. In classical mechanics, the equation of motion is Newton's second law, and equivalent formulations are the Euler–Lagrange equations and Hamilton's equations. All of these formulations are used to solve for the motion of a mechanical system and mathematically predict what the system will do at any time beyond the initial settings and configuration of the system.

In quantum mechanics, the analogue of Newton's law is Schrodinger's equation for a quantum system (usually atoms, molecules, and subatomic particles whether free, bound, or localized). It is not a simple algebraic equation, but (in general) a linear partial differential equation. The differential equation describes the wave function of the system, also called the quantum state or state vector.

Answer 2

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Answer 3

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