(d) The Schrödinger equation for a simple harmonic oscillator is given by = = (a²r²-8) 82² where a² = m, 3 = 2mE and w= √/k/m The ground state wave function of the oscillator is given by 40(x) = (2) ¹/4e-az²/2 Show, by substituting this function in the oscillator equation, that the groun the oscillator is given by E = Eo=hw
(d) The Schrödinger equation for a simple harmonic oscillator is given by = = (a²r²-8) 82² where a² = m, 3 = 2mE and w= √/k/m The ground state wave function of the oscillator is given by 40(x) = (2) ¹/4e-az²/2 Show, by substituting this function in the oscillator equation, that the groun the oscillator is given by E = Eo=hw
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Transcribed Image Text:(d) The Schrödinger equation for a simple harmonic oscillator is given by
=(a²-x²-3)
where a² = m, 3 = 2mE and w = √
√k/m
The ground state wave function of the oscillator is given by
vo(x) = (2) ¹/4e-az²/2
Show, by substituting this function in the oscillator equation, that the ground state of
the oscillator is given by
E = Eo=hw
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