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SOLVED:Show that the wave functions for the ground state and the first excited state of the simple harmonic oscillator, given in Equation 6-58, are orthogonal, that is, show that ∫ψ0(x) ψ1(x) d x=0
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Ground state wavefunction | Quantum Physics I | Physics | MIT OpenCourseWare
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The ground-state wave function for the electron in a hydrogen atom is ψ1 s(r)=(1)/(√(πa0^3)) e^-r / a0 where r is the radial coordinate of the electron and a0 is the Bohr radius. (a) Show that the wave function as given is normalized. (b) Find the probability of locating the electron between r1=a0 / 2 and r2=3 a0 / 2. | Numerade
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