Suppose we had a classical particle in a frictionless box, bouncing back and forth at constant speed. The probability density of the position of the particle in soma box of length L is given by: p(x) 0 - (2² (24) 0 x < 0 Asin² (7) 0L a. Sketch the probability density as a function of position b. What must A be in order for p(x) to be normalized? Remember that you are welcome to use resources to solve integrals such as Wolfram Alpha, a table of integrals etc.
Suppose we had a classical particle in a frictionless box, bouncing back and forth at constant speed. The probability density of the position of the particle in soma box of length L is given by: p(x) 0 - (2² (24) 0 x < 0 Asin² (7) 0L a. Sketch the probability density as a function of position b. What must A be in order for p(x) to be normalized? Remember that you are welcome to use resources to solve integrals such as Wolfram Alpha, a table of integrals etc.
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Transcribed Image Text:Suppose we had a classical particle in a frictionless box, bouncing back and forth at constant
speed. The probability density of the position of the particle in soma box of length L is given by:
0
ans-fawr (7)
p(x)=
0
x < 0
A sin² (7) 0<x<L
I > L
a. Sketch the probability density as a function of position
b. What must A be in order for p(x) to be normalized? Remember that you are welcome to
use resources to solve integrals such as Wolfram Alpha, a table of integrals etc.
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