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Show that the two lowest energy states of the simple harmonic oscillator, ψ0(x) and ψ1(x) from...

Show that the two lowest energy states of the simple harmonic oscillator, ψ0(x) and ψ1(x) from Equation

ψn(x) = Nn e^ (− β^2 x^2/2) Hn(βx) n= 0,1..., satisfies the time-independent Schrӧdinger equation.

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