Physics, asked by jagggotaguts6187, 1 year ago

Given the wave function: Determine the normalization constant A.

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Answered by Anonymous
0
To determine the normalization constant A in a given wave function, we need to know the boundry condition which is that the probability of finding the particle at a specefic location ( given by psi^2) approaches 0 as the distance approaches infinity. And the probability of finding the particle in all of the space is 1.

So what we basically need to do is

1) Take the complex conjugate of the wave function

2) Multiply it by the real wave function

3) Integrate with respect to distance from +infinity to -infinity or from the given boundry condition and equate it with 1

4) Solve for A

Note:- Please always check for even and odd functions as they simplify the calculations a lot.

Note:- Also you can solve integral using partial integration by breaking it into (-infinity to zero) to (zero to +infinity)

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