In 1956 Artur Frost wells could serve as a model for diatomic molecules: suggested that two...

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In 1956 Artur Frost wells could serve as a model for diatomic molecules: suggested that two Dirac delta V(x) = -a [8(x-a/2) +8(x+a/2)]. (a) Sketch the potential (just a sketch, no need to do a computer-plotted graph). Note that a and a are positive. (b) Suppose in particular that h ma Solve the energy eigenvalue equation (assuming bound states E < 0) and find the allowed energies and stationary states. Hint: The potential is even. (c) Suppose instead that h 4ma How many bound stationary states are there in this case? (You don't have to find them, just tell me how many there are and why.) α: In 1956 Artur Frost wells could serve as a model for diatomic molecules: suggested that two Dirac delta V(x) = -a [8(x-a/2) +8(x+a/2)]. (a) Sketch the potential (just a sketch, no need to do a computer-plotted graph). Note that a and a are positive. (b) Suppose in particular that h ma Solve the energy eigenvalue equation (assuming bound states E < 0) and find the allowed energies and stationary states. Hint: The potential is even. (c) Suppose instead that h 4ma How many bound stationary states are there in this case? (You don't have to find them, just tell me how many there are and why.) α:

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