Convince yourself that function exp(-x2/2) is an eigenfunction of the operator (1/2)(-d2/dx2 x2). Compute the corresponding eigenvalue. (We will see in class that this operator is the Hamiltonian for the harmonic oscillator, if one sets the mass, frequency, and the Planck's constant at 1.)
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Convince yourself that function exp(-x2/2) is an eigenfunction of the operator (1/2)(-d2/dx2 x2). Co...
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