Which of a, b or c is most likely to be correct? J Hint: Romombor tho roguirod rtiog of rono
Which of a, b or c is most likely to be correct? J Hint: Romombor tho roguirod rtiog of rono
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I think the answer is B and C. but I'm confused single-valued function and normalizable(finite) function. Could you please explain them in detail?
Thank you very much

Transcribed Image Text:Potential wavefunctions for a 1-d system have been suggested. They
are
a. V(x)
N tan(ax) for 0 < x < ∞ and N and a are con-
stants.
b. V(x)
Nx/²e¬ax for 0 < x < ∞ and N and a are con-
stants.
c. V(x)
Which of a, b or c is most likely to be correct? Justify your answers.
Hint: Remember the required propoerties of wavefunctions from our
discussion of postulate 1:
N sin(ax) for 0 < x < ∞ and N and a are constants.
1. They must be single valued
2. They must
3. They must be normalizable, i.e.
continuous
dx V* V
(2.2)
0,
must be finite: it's a probability density.
Expert Solution

Step 1
Wavefunctions
Wavefunctions are mathematical functions that encode the properties of a particle. The values of all the observables are present in the wavefunction of the particle. In Quantum Mechanics, the wavefunction is generally represented by the Greek letter .
The wavefunction satisfies an equation known as Schrodinger's equation. In one dimension the Schrodinger's equation is expressed as
is the potential energy of the particle and is known as the energy eigenvalue.
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