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Unformatted text preview:  Ψ(0) i = 1 , then what is  Ψ( t ) i ? (c) (5 points) Compute the expectation value of H with respect to the state  Ψ( t ) i . 4. (35 points) The Hamiltonian operator ˆ H of a particle in a “double Dirac deltafunction potential well” is given by ˆ H = ˆ p 2 2 mV { δ (ˆ x + a ) + δ (ˆ xa ) } where a is a real constant. (a) (12 points) Derive the transcendental equation whose roots give the eigenvalues of the bound states of even parity of ˆ H . (b) (12 points) Derive the transcendental equation whose roots give the eigenvalues of the bound states of odd parity of ˆ H . (c) (11 points) Show that there are altogether two bound states, one of even parity and one of odd parity. Sketch the two bound states....
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This note was uploaded on 12/10/2011 for the course PHYS 4221 taught by Professor Cflo during the Spring '11 term at CUHK.
 Spring '11
 CFLO
 mechanics

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