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A particle confined in an infinite potential well (box) of sides at x = 0 and x = a is located in the left quarter of the box such that it is described by the wave function 4/a, (x) = 0, 0

A particle confined in an infinite potential well (box) of sides at x = 0 and x = a is located in the left quarter of the box such that it is described by the wave function 4/a, (x) = 0, 0

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A particle confined in an infinite potential well (box) of sides at O and x = a is located in the left quarter of the box such that X%3D it is described by the wave function 4/a, 0 < x< a/4 (x) = %3D 0, elsewhere Calculate the probability that a measurement of the energy yields E1 %3D 2ma? P(E) = 0.25 %3D P(E) = 0.35 %3D P(E) = 0.88 %3D O P(E) = 0.07 O PIE) = 0.56
Transcribed Image Text:A particle confined in an infinite potential well (box) of sides at O and x = a is located in the left quarter of the box such that X%3D it is described by the wave function 4/a, 0 < x< a/4 (x) = %3D 0, elsewhere Calculate the probability that a measurement of the energy yields E1 %3D 2ma? P(E) = 0.25 %3D P(E) = 0.35 %3D P(E) = 0.88 %3D O P(E) = 0.07 O PIE) = 0.56
Given that the operator B = i(1+ x?) d + x, dx Find the eigen functions of B corresponding to zero eigen value. y(x) = w(x) = O w(x) = 1+x y(x) = O w(x) = VI +x
Transcribed Image Text:Given that the operator B = i(1+ x?) d + x, dx Find the eigen functions of B corresponding to zero eigen value. y(x) = w(x) = O w(x) = 1+x y(x) = O w(x) = VI +x
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