(a) Define the probability density for a given wave function. How do you normalise a wave function? 4 (b) The wave function of a particle is described by: 4(x) = {Ae-x/ª, 0, -asxsa otherwise where A and lal are positive real constants. (1) Sketch and normalise . (ii) Where is the particle most likely to be found? Why? (iii) Calculate the expectation values of (x) and (x²).
(a) Define the probability density for a given wave function. How do you normalise a wave function? 4 (b) The wave function of a particle is described by: 4(x) = {Ae-x/ª, 0, -asxsa otherwise where A and lal are positive real constants. (1) Sketch and normalise . (ii) Where is the particle most likely to be found? Why? (iii) Calculate the expectation values of (x) and (x²).
Related questions
Question
No written by hand solution
Transcribed Image Text:1. (a) Define the probability density for a given wave function. How do you normalise
a wave function?
W
(b) The wave function of a particle is described by:
-x/a -a≤x≤a
otherwise
Þ(x) = {Ae-¯x/ª.
0,
where A and lal are positive real constants.
(1) Sketch and normalise .
(ii) Where is the particle most likely to be found? Why?
(iii) Calculate the expectation values of (x) and (x²).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 13 images
