A particle confined in a one-dimensional box of length L(<= X <= L) is in a state described by the wave function where **check attached image** where A and B are constants given by real numbers. A) Determine which relationship A and B must satisfy for the wavefunction to be normalized. B) Suppose that A = B. What is the probability of the particle being found in the interval 0 <= X <= L/2? C) What are the values ​​of A and B that minimize the probability of finding the particle in the range of positions 0 <= X <= L/2?

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A particle confined in a one-dimensional box of length L(<= X <= L) is in a state described by the wave function where

**check attached image**

where A and B are constants given by real numbers.

A) Determine which relationship A and B must satisfy for the wavefunction to be normalized.

B) Suppose that A = B. What is the probability of the particle being found in the interval 0 <= X <= L/2?

C) What are the values ​​of A and B that minimize the probability of finding the particle in the range of positions 0 <= X <= L/2?

(x) = W1(x) + g2(x), onde
()
(r) = Asin
2(1) = B sin
e
%3D
Transcribed Image Text:(x) = W1(x) + g2(x), onde () (r) = Asin 2(1) = B sin e %3D
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