Wave function of a simple harmonic oscillator

[noblegas]

Homework Statement

The ground state wave function of a one-dimensional simple harmonic oscillator is

\varphi_0(x) \propto e^(-x^2/x_0^2), where x_0 is a constant. Given that the wave function of this system at a fixed instant of time is \phi\phi \propto e^(-x^2/y^2) where y is another constant., find the probablity, that if the energy is measured , the system will be in the ground state

Homework Equations

The Attempt at a Solution

dP=|\varphi_0|^2 dx

According to my book(Peebles) , =|\varphi_0|^2=|\phi_0|^2;, so therefore dP=|\phi_0|^2 dx?

 

[noblegas]

anyone still not understand my question?

 

[sleventh]

hello noble,
i'm wondering if you take the integral of your state function from 0 to infinity then divide that result the integral of your ground state function from 0-infinity will you get a function dependent on energy, whereas you could use an energy sample at any time to give the probability?