At time t = 0 a particle is represented by the wave function A, OsIsa, as I ≤ b, (,0)=A, 0. otherwise, where A,a, and bare (positive) constants. (a) Normalize (that is, find A, in terms of a and b). (b) Sketch V(,0), as a function of z. (c) Where is the particle most likely to be found, at t=0?
At time t = 0 a particle is represented by the wave function A, OsIsa, as I ≤ b, (,0)=A, 0. otherwise, where A,a, and bare (positive) constants. (a) Normalize (that is, find A, in terms of a and b). (b) Sketch V(,0), as a function of z. (c) Where is the particle most likely to be found, at t=0?
Related questions
Question
Transcribed Image Text:1.
At time t = 0 a particle is represented by the wave function
A²,
0≤x≤ a,
V(,0)=A,
a≤x≤b,
otherwise,
where A,a, and b are (positive) constants.
(a) Normalize (that is, find A, in terms of a and b).
(b) Sketch V (1,0), as a function of x.
(c) Where is the particle most likely to be found, at t = 0?
(d) What is the probability of finding the particle to the left of a?
in the limiting cases b = a and b = 2a.
(e) What is the expectation value of z?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
