A particle in the infinite square well has as its initial wave function an even mixture of the first two stationary states: V (x. 0) = A[¥1(x) + ¥2(x)]. Normalize ¥(x, 0). Find V(x,1) and |¥(x,t)|?.. Compute (x). Notice that it oscillates in time. What is the angular frequency of the oscillation? What is the amplitude of the oscillation? Compute (p). If you measured the energy of this particle, what values might you get, and what is the probability of getting each of them? Find the expectation value of H. How does it compare with Ej and E2?
A particle in the infinite square well has as its initial wave function an even mixture of the first two stationary states: V (x. 0) = A[¥1(x) + ¥2(x)]. Normalize ¥(x, 0). Find V(x,1) and |¥(x,t)|?.. Compute (x). Notice that it oscillates in time. What is the angular frequency of the oscillation? What is the amplitude of the oscillation? Compute (p). If you measured the energy of this particle, what values might you get, and what is the probability of getting each of them? Find the expectation value of H. How does it compare with Ej and E2?
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A prticle in the infinite square wen has its inidal wave fumtion
an even mixture of the first two stationary states:
Normalize IV(x. 0).
Find IV(x, t) and IV(x,0)I2
Compute<x>. Notice that it oscillates in time. What is the angular frequency
of the oscillation? What is the amplitude of the oscillation?
Compute <p>.
If you measured the energy what values might you gets and
what is the probability the value
Of H .HOW does it compare with E1and E2
*** Please pay attention to the picture***
![A particle in the infinite square well has as its initial wave function
an even mixture of the first two stationary states:
¥ (x. 0) = A[¥1(x)+ ¥2(x)].
Normalize ¥(x, 0).
/
Find V(x, 1) and |¥(x,1)|?..
Compute (x). Notice that it oscillates in time. What is the angular frequency
of the oscillation? What is the amplitude of the oscillation?
Compute (p).
If you measured the energy of this particle, what values might you get, and
what is the probability of getting each of them? Find the expectation value
of H. How does it compare with Ej and E2?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0d70d1d-e3af-42ab-998d-14dfa074d08e%2Faab082c6-98c3-43ac-b491-752a466b2fea%2Fzy0kewl_processed.png&w=3840&q=75)
Transcribed Image Text:A particle in the infinite square well has as its initial wave function
an even mixture of the first two stationary states:
¥ (x. 0) = A[¥1(x)+ ¥2(x)].
Normalize ¥(x, 0).
/
Find V(x, 1) and |¥(x,1)|?..
Compute (x). Notice that it oscillates in time. What is the angular frequency
of the oscillation? What is the amplitude of the oscillation?
Compute (p).
If you measured the energy of this particle, what values might you get, and
what is the probability of getting each of them? Find the expectation value
of H. How does it compare with Ej and E2?
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