Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
(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).

icon
Related questions
Question

No written by hand solution 

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).
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
steps

Step by step

Solved in 3 steps with 13 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer