Comments about "Schrödinger equation" in Wikipedia

This document contains comments about the article Schrödinger equation in Wikipedia
In the last paragraph I explain my own opinion.




The article starts with the following sentence.
The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system.
The Schrödinger equation describes the wave function.
It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject.
Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics.
This sentence does not say anything
Given a set of known initial conditions, Newton's second law makes a mathematical prediction as to what path a given physical system will take over time.
It is much more than only a set of initial conditions. You also need the positions of the objects involved in the simulation. Using these positions the first step is to calculate the masses of all the objects.
The Schrödinger equation gives the evolution over time of a wave function, the quantum-mechanical characterization of an isolated physical system.
The wave function exactly of what? Of each of all the electrons of one atom?

1 Definition

1.1 Preliminaries

1.2 Time-dependent equation

1.3 Time-independent equation

2 Properties

2.1 Linearity

2.2 Unitarity

2.3 Changes of basis

2.4 Probability current

2.5 Separation of variables

3 Examples

3.1 Particle in a box

3.2 Harmonic oscillator

3.3 Hydrogen atom

3.4 Approximate solutions

4 Semiclassical limit

5 Density matrices

6 Relativistic quantum physics and quantum field theory

6.1 Klein–Gordon and Dirac equations

6.2 Fock space

7 History

8 Interpretation

9. See also

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Modified: 26 January 2022

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