Concept explainers
(a)
Interpretation:
The probability for the particle having wavefunction
Concept introduction:
For the normalization of the wavefunction, the wavefunction is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.
Where,
•
•
•
Answer to Problem 10.27E
The probability for the particle having wavefunction
Explanation of Solution
For the probability of the wavefunction the expression is as follows.
Where,
•
•
•
•
Substitute the values in the above equation as follows.
The above equation is simplified as given below.
The probability for the particle having wavefunction
(b)
Interpretation:
The probability for the particle having wavefunction
Concept introduction:
For the normalization of the wavefunction, the wavefunction is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.
Where,
•
•
•
Answer to Problem 10.27E
The probability for the particle having wavefunction
Explanation of Solution
For the probability of the wavefunction the expression is as follows.
Where,
•
•
•
•
Substitute the values in the above equation as follows.
The above equation is simplified as follows.
The probability for the particle having wavefunction
(c)
Interpretation:
The probability for the particle having wavefunction
Concept introduction:
For the normalization of the wavefunction, the wavefunction is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.
Where,
•
•
•
Answer to Problem 10.27E
The probability for the particle having wavefunction
Explanation of Solution
For the probability of the wavefunction the expression is as follows.
Where,
•
•
•
•
Substitute the values in the above equation as follows.
The above equation is simplified as follows.
The probability for the particle having wavefunction
(d)
Interpretation:
The probability for the particle having wavefunction
Concept introduction:
For the normalization of the wavefunction, the wavefunction is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.
Where,
•
•
•
Answer to Problem 10.27E
The probability for the particle having wavefunction
Explanation of Solution
For the probability of the wavefunction the expression is as follows.
Where,
•
•
•
•
Substitute the values in the above equation as follows.
The above equation is simplified as given below.
The probability for the particle having wavefunction
(e)
Interpretation:
The probability for the particle having wavefunction
Concept introduction:
For the normalization of the wavefunction, the wavefunction is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.
Where,
•
•
•
Answer to Problem 10.27E
The probability for the particle having wavefunction
Explanation of Solution
For the probability of the wavefunction the expression is as follows.
Where,
•
•
•
•
Substitute the values in the above equation as follows.
The above equation is simplified as follows.
The plot the probabilities versus
Figure 1
The plot shows the probability for the given wave function. According to this plot, the probability of finding the particle is maximum in the range of
The probability for the particle having wavefunction
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