Verify that the reflection coefficient is unity in this case.

Question

A particle of mass m moves in a one-dimensional box of length l with the potential V = 00, Il. At a certain instant, say t 0, the wave function of this particle is %3D known to have the form V = V30/15 x (1 – x), 0 0) as a series, and expressions for the coefficients in the series.

Answer 1

Question

Chapter 7, Problem 1P

(a)

To determine

Verify that the reflection coefficient is unity in this case.

(b)

To determine

Relation of k to E in order for in order for ψ(x) to solve Schrodinger’s equation in the region where (x≤0) and (x>0) . Also discuss about ratio E/U.

(c)

To determine

The penetration depth for 10 MeV protons incident on this step.

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A particle of mass m moves in a one-dimensional box of length l with the potential V = 00, Il. At a certain instant, say t 0, the wave function of this particle is %3D known to have the form V = V30/15 x (1 – x), 0 0) as a series, and expressions for the coefficients in the series.

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