Hi everybody,

I was reading about the Uncertainty principle and I came across the statement: "

*the position-space wavefunction of a minimum-uncertainty state is a Gaussian. Indeed, because it’s a minimum-uncertainty state, its momentum-space wavefunction is also a Gaussian*." Unfortunately it was stated without any mathematical proof or diagrams so I am a bit puzzled!

Also, what does it mean exactly that: "

*The first energy level of a system is minimum uncertainty.*" My guess it that it means for lower energies the uncertainty in the energy is minimum. However, due to the quantized nature of the energy levels, how is it possible to be uncertain about the energy of a particle?