Y(x,0) = C[¥1(x) +42 (x)] a) Find C so that the wavefunction is normalized b) Find the wave function Y(x,t)at any later time t. (For bonus, use your favorite computer package to create an animation of the probability density as a function of time.) c) Compute Y (x,t)¥(x,t) to show that this superposition is not a stationary state.

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Y(x,0) = C[¥1(x) +42 (x)]
a) Find C so that the wavefunction is normalized
b) Find the wave function Y(x,t)at any later time t. (For bonus, use your favorite
computer package to create an animation of the probability density as a
function of time.)
c) Compute Y (x,t)4(x,t) to show that this superposition is not a stationary
state.
d) If many systems are prepared in this state and their energies are measured
at some later time, what will the result be?
Transcribed Image Text:Y(x,0) = C[¥1(x) +42 (x)] a) Find C so that the wavefunction is normalized b) Find the wave function Y(x,t)at any later time t. (For bonus, use your favorite computer package to create an animation of the probability density as a function of time.) c) Compute Y (x,t)4(x,t) to show that this superposition is not a stationary state. d) If many systems are prepared in this state and their energies are measured at some later time, what will the result be?
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