For a quantum harmonic oscillator, write down a differential equation for the wavefunction of the ground state, by directly deriving it from the defining property.
a|0> = 0 Solve such a differential equation (up to normalisation).
Attempt:
For a quantum harmonic oscillator, write down a differential equation for the wavefunction of the ground state, by directly deriving it from the defining property.
a|0> = 0 Solve such a differential equation (up to normalisation).
Attempt: