Ground state of harmonic oscillator

[Knot Head]

Homework Statement

Verify that the ground state (n=0) wavefunction is an eigenstate of the harmonic
oscillator Hamiltonian. Using the explicit wavefunction of the ground state to calculate
the average potential energy <0|\hat{v}|0> and average kinetic energy <0|\hat{T}| 0>

Homework Equations

\int^{\infty}_{0}(x^{2n} e^{-ax^{2}})dx=\frac{1x3x5x...x(2n-1)}{2^(n+1)a^n}\sqrt{\frac{\pi}{a}}

The Attempt at a Solution

I did the ground state harmonic oscillation standard alteration with "a" and got \\Psi_{0}(x)=1/(\pi^{1/4}\sqrt{x_{0}})*e^-x^2/2x^{2}_{0}

 

[vela]

You're going to have to make a bit more of an effort to work the problem on your own before you'll get any help here.

 

[texans57]

ill just go ask this question another website, thanx