# Formula Infinite square potential well (1d) Energy    Quantum number    Length

## Energy

Unit
Discrete energy values that a particle can have in the infinite potential well. The energy values are given by the integer quantum number $$n$$. For example $$n = 1$$:$W_{1} ~=~ \frac{h^2}{8m \, L^2}$

## Quantum number

Unit
The quantum number $$n$$ takes discrete values: $$n ~=~ 1,2,3...$$.

For $$n = 1$$, $$W_1$$ is the ground state energy (also called zero-point energy).

## Length

Unit
Length of the one-dimensional potential well.

## Mass

Unit
Mass of the particle in the potential well (for example the mass of an electron).

## Planck constant

Unit
Planck constant is a natural constant of quantum mechanics and has the value: $$h ~=~ 6.626 \, 070 \, 15 \,\cdot\, 10^{-34} \, \text{Js}$$.