The wave function of free particle initially at time t=0 is given by the wave packet (x,0) = [2π(Ax)]-¹/4 exp P{- x² 4(4x)² + ikox} where (Ax)2 represents the initial width of the wave packet (i.e. the variance). a) y(x, t). b) Determine the wave function for the free particle at some later time t, What is the width (the variance) of the wave packet at the later time t?
The wave function of free particle initially at time t=0 is given by the wave packet (x,0) = [2π(Ax)]-¹/4 exp P{- x² 4(4x)² + ikox} where (Ax)2 represents the initial width of the wave packet (i.e. the variance). a) y(x, t). b) Determine the wave function for the free particle at some later time t, What is the width (the variance) of the wave packet at the later time t?
Related questions
Question
![The wave function of free particle initially at time t=0 is given by the wave packet
$(x,0) = [2π(4x)3]-¹/4 exp{-4(4x)³
ikox}
+ ik
where (Ax) represents the initial width of the wave packet (i.e. the variance).
a)
(x, t).
b)
Determine the wave function for the free particle at some later time t,
What is the width (the variance) of the wave packet at the later time t?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41a25689-ab5e-4e16-8d98-9bb44c535fd3%2F48252764-6e37-40ee-a775-99b2d120cac8%2Fwx0u818_processed.png&w=3840&q=75)
Transcribed Image Text:The wave function of free particle initially at time t=0 is given by the wave packet
$(x,0) = [2π(4x)3]-¹/4 exp{-4(4x)³
ikox}
+ ik
where (Ax) represents the initial width of the wave packet (i.e. the variance).
a)
(x, t).
b)
Determine the wave function for the free particle at some later time t,
What is the width (the variance) of the wave packet at the later time t?
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 3 steps with 8 images
