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2 d2 The Hamiltonian operator for the harmonic oscillator is given by + uw, where 2u dx2 Mi is the reduced mass and w 2tv

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2 d2 The Hamiltonian operator for the harmonic oscillator is given by + uw, where 2u dx2 Mi is the reduced mass and w 2tv is the angular frequency. Is the function f(x) = x exp exp[- an eigenfunction of that Hamiltonian? 2 Yes, and the eigenvalue is w. Yes, and the eigenvalue is w. Yes, and the eigenvalue is 3w 2 No

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