This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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....
View
Full Document
 Spring '11
 CFLO
 mechanics, bound states, odd parity, Even Parity

Click to edit the document details