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?
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?
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