At time t = 0 the normalized wave function for a particle of mass m in the one-dimensional infinite well (see first image) is given by the function in the second image. Find ψ(x, t). What is the probability that a measurement of the energy at time t will yield the result ħ2π2/2mL2? Find for the particle at time t. (Hint: can be obtained by inspection, without an integral)
At time t = 0 the normalized wave function for a particle of mass m in the one-dimensional infinite well (see first image) is given by the function in the second image. Find ψ(x, t). What is the probability that a measurement of the energy at time t will yield the result ħ2π2/2mL2? Find for the particle at time t. (Hint: can be obtained by inspection, without an integral)
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At time t = 0 the normalized wave function for a particle of mass m in the one-dimensional infinite well (see first image) is given by the function in the second image.
Find ψ(x, t). What is the probability that a measurement of the energy at time t will yield the result ħ2π2/2mL2? Find <E> for the particle at time t. (Hint: <E> can be obtained by inspection, without an integral)
Transcribed Image Text:V(x) =
0 0 < x <L
∞ elsewhere
Transcribed Image Text:) = { 1 + √² sin + + + √² sin ²²
√2
0
4(x) =
0 < x < L
elsewhere
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