What are the fundamental equations of Quantum Mechanics?

[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.

 

[dx]

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

 

[jeblack3]

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

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

 

[ZapperZ]

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.

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/Schrödinger 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.