Consider a d-functional potential well U(r) = -V8(r - a) spaced by the distance a from an infinite potential barrier U(r) = o at r < 0, as shown in the figure below. Obtain an equation for the energy level En of a bound state in the well. Using this equalion, find the minimum distance a. of the well from the barrier at which the bound state in the well disappears for all a < ac. %3D Infinite potential barrier - Eg Energy level of a bound state U(z) = -Vő(r - a)-
Consider a d-functional potential well U(r) = -V8(r - a) spaced by the distance a from an infinite potential barrier U(r) = o at r < 0, as shown in the figure below. Obtain an equation for the energy level En of a bound state in the well. Using this equalion, find the minimum distance a. of the well from the barrier at which the bound state in the well disappears for all a < ac. %3D Infinite potential barrier - Eg Energy level of a bound state U(z) = -Vő(r - a)-
Related questions
Question
Transcribed Image Text:Consider a 6-functional potential well U(x) = -V8(r - a)
spaced by the distance a from an infinite potential barrier U(r) o at
x < 0, as shown in the figure below. Obtain an equation for the energy
level Eg of a bouud state in the well. Using this equalion, find the minimum
distance ae of the well from the barrier at which the bound state in the well
disappears for all a < ac.
Infinite potential
barrier
Energy level of
a bound state
- E,
U(z) = -V6(r – a)-
Expert Solution
Step 1
The wave function (ψ (x)) disappears for (x < 0) since the potential energy is infinite there.
For (x > 0), the Schrodinger equation for the given system may be given as follows:
Step by step
Solved in 6 steps
