# Quantum Mechanics and Particle Incident

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Part 1

A particle incident on the potential step with

a certain energy E < U is described by the

wave Ïˆ(x) = (1/ 2)* {(1 + i)e^ikx + (1 âˆ’ i)e^ikx }, x â‰¤ 0

Ïˆ(x) = e ^âˆ’kx , x â‰¥ 0

Evaluate the penetration depth Î´ = 1/k for

9.4 MeV protons incident on this 23.4 MeV

step. Answer in units of fm.

Part 2

A particle of energy E approaches a step bar-

rier of height U0 .

What should be the ratio E/U0 so that the

reï¬‚ection coeï¬ƒcient is 0.2?

https://brainmass.com/physics/light-reflection/quantum-mechanics-particle-incident-157129

#### Solution Preview

Hi there

Here is the solution to the two questions.

Note that for the second problem I used the ...

#### Solution Summary

This solution contains step-by-step calculations to determine the penetration depth and the ratio of E/U0 for a specific reflection coefficient.

$2.49