Question: Q6. (10 Points) Normalisation of 2D Quantum Harmonic Oscillator Wavefunction Please show the following integral: 2 TT 1 = drr do [(r, 0)]2 = 72

Q6. (10 Points) Normalisation of 2D Quantum Harmonic Oscillator Wavefunction Please

Q6. (10 Points) Normalisation of 2D Quantum Harmonic Oscillator Wavefunction Please show the following integral: 2 TT 1 = drr do [(r, 0)]2 = 72 where (r, 0) is given as: -arz 4(r, 0) = re 2 (2- ar2) cos 0 Hint 1: Make use of substitution x = qr2 dr 'dx 2vax Hint 2: Gamma function T(n + 1) = Sxe *dx = n! for integer n

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