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Consider the 1-dimensional quantum harmonic oscillator of mass u. xeax*/½ is an eigenfunction of the Hamiltonian for this a. Show that the wave function uk system. In this case, a =

Consider the 1-dimensional quantum harmonic oscillator of mass u. xeax*/½ is an eigenfunction of the Hamiltonian for this a. Show that the wave function uk system. In this case, a =

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12. ( Consider the 1-dimensional quantum harmonic oscillator of mass u. a. Show that the wave function ý = xex*/2 is an eigenfunction of the Hamiltonian for this uk system. In this case, a = b. What is the eigenvalue of this wave function in terms of ħ and w?
Transcribed Image Text:12. ( Consider the 1-dimensional quantum harmonic oscillator of mass u. a. Show that the wave function ý = xex*/2 is an eigenfunction of the Hamiltonian for this uk system. In this case, a = b. What is the eigenvalue of this wave function in terms of ħ and w?
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