# Quantum Mechanics Equations

1. Apr 12, 2010

### libbon

Im not sure if this belongs in the math department but, i just want to know what are some fundamental quantum mechanics equations that you should know, for example, Heisenberg's is delta x times delta p =h/2, i can't use the real symbols so i just said that.

2. Apr 12, 2010

### dx

Why don't you just look at a standard textbook? You wont learn anything from a list of equations.

3. Apr 12, 2010

### jeblack3

The Schrodinger equation. If you don't need to worry about relativity, magnetism or the interactions of multiple particles, it's

$$i \hbar \frac{\partial \psi(\vec{r}, t)}{\partial t} = - \frac{\hbar^2}{2m} \nabla^2 \psi(\vec{r}, t) + V(\vec{r}, t) \psi(\vec{r}, t)$$

4. Apr 13, 2010

### ZapperZ

Staff Emeritus
I would not consider the HUP's as being "fundamental". It is more of a consequence of what is known as the First Quantization principle, i.e. [A,B], with A and B being observable operators.

The Hamiltonian/Schrodinger equation would be a very good candidate for being a "fundamental equation" for QM. For any phenomenon, the ability to accurately describe it with a Hamiltonian is one of the most crucial aspect of understanding the phenomenon. The other being the ability to either solve, or construct an accurate (or accurate enough) solution to the Hamiltonian.

Zz.