Consider a one-dimensional particle which is confined within the region 0≤x≤a and whose wave function is u(x, t) = sin (x/a) exp (-iwt). (a) Find the potential V(x). (b) Calculate the probability of finding the particle in the interval a/4 ≤ x ≤3a/4.

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Consider a one-dimensional particle which is confined within the region 0≤x≤ a and whose wave
function is u(x, t) = sin (x/a) exp (-iwt). (a) Find the potential V(x). (b) Calculate the probability of
finding the particle in the interval a/4 ≤ x ≤3a/4.
fictr fidt t
2it
92.niz Isinn:
=
n fidar
1). (b(6\xh; fingen-like wan-like ction nit
Transcribed Image Text:Consider a one-dimensional particle which is confined within the region 0≤x≤ a and whose wave function is u(x, t) = sin (x/a) exp (-iwt). (a) Find the potential V(x). (b) Calculate the probability of finding the particle in the interval a/4 ≤ x ≤3a/4. fictr fidt t 2it 92.niz Isinn: = n fidar 1). (b(6\xh; fingen-like wan-like ction nit
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