Consider a particle moves in 1-Dimension under the Hamiltonian H = Let the (x) = Ae a the wave function for the particle. 2m (a) Determine the normali zation constant A. (b)What is the probability density to find the particle in the position X. (c) If the particle is trapped in the region o sxsa Find the probability to fid the particle in this region.

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Consider a particle moves in 1-Dimension under the Hamiltonian H =
2m
Let the (x) = Aet)
the wave function for the particle.
(a) Determine the normali zation constant A.
(b) What is the probability density to find the particie in the position X.
(0) If the particle is trapped in the region o s xsa Find the probability to fid the particle in this regi on.
Transcribed Image Text:Consider a particle moves in 1-Dimension under the Hamiltonian H = 2m Let the (x) = Aet) the wave function for the particle. (a) Determine the normali zation constant A. (b) What is the probability density to find the particie in the position X. (0) If the particle is trapped in the region o s xsa Find the probability to fid the particle in this regi on.
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