The quantomic oscillator's amplitude

[hokhani]

how can we calculate the amplitude of a one dimensional harmonic oscillator using wave function?

 

[dextercioby]

There's no amplitude, but probability amplitude to obtain spectral values of a certain observable being measured.

 

[hokhani]

yes
but how can we get close to the classical significance "Oscillator Amplitude"?

 

[Dickfore]

The coherent states follow most closely the classical motion of a linear harmonic oscillator.

 

[hokhani]

ok, thanks
then,
if we want to examine a classical harmonic oscillator by quantum approach, how should we regard the most displacement from center?