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Our Guest:

The Hamiltonian of a quantum harmonic oscillator is a function of the coordinate x and the momentum p: H=1/2(x²+p²) (for simplicity we have set the mass and the spring constant to 1). The usual commutation relation is satisfied: [x,p]=i (Planck's constant is set to 1). Question: can you write down the projection operator onto the ground state as a function of x and p?

Please send your solutions to the email address at the bottom of this page.

More problems like this one may be found on the Problems page.