1. The problem statement, all variables and given/known data The ground state wave function of a one-dimensional simple harmonic oscillator is [tex]\varphi_0(x) \propto e^(-x^2/x_0^2)[/tex], where [tex]x_0[/tex] is a constant. Given that the wave function of this system at a fixed instant of time is [tex] \phi\phi \propto e^(-x^2/y^2)[/tex] where y is another constant., find the probablity, that if the energy is measured , the system will be in the ground state 2. Relevant equations 3. The attempt at a solution [tex] dP=|\varphi_0|^2 dx[/tex] According to my book(Peebles) , [tex]=|\varphi_0|^2=|\phi_0|^2[/tex];, so therefore [tex] dP=|\phi_0|^2 dx[/tex]?