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A particle of mass m and kinetic energy E > 0 approaches a delta-function barrier located at x = 0: V (2) = a8(x) a > 0 (a) Find expressions for the reflection and transmission probabilities. (b) If at time t = 0, the particle is in the region x < 0, find the probability that at a later time t, it will be found in the region a < x < b, with a, b > 0.

A particle of mass m and kinetic energy E > 0 approaches a delta-function barrier located at x = 0: V (2) = a8(x) a > 0 (a) Find expressions for the reflection and transmission probabilities. (b) If at time t = 0, the particle is in the region x < 0, find the probability that at a later time t, it will be found in the region a < x < b, with a, b > 0.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A particle of mass m and kinetic energy E > 0 approaches a delta-function barrier located at x = 0: V (x) = a8(x) a > 0 (a) Find expressions for the reflection and transmission probabilities. 0, the particle is in the region x < 0, find the probability that at a later time t, it will be found in (b) If at timet the region a < x < b, with a, b > 0.
Transcribed Image Text:A particle of mass m and kinetic energy E > 0 approaches a delta-function barrier located at x = 0: V (x) = a8(x) a > 0 (a) Find expressions for the reflection and transmission probabilities. 0, the particle is in the region x < 0, find the probability that at a later time t, it will be found in (b) If at timet the region a < x < b, with a, b > 0.
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