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What are the variables that make up the wave-function? How does one use the wave-function to...

What are the variables that make up the wave-function? How does one use the wave-function to
determine the probability of finding a particle in some finite space?
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Answer #1

A wave-function is a complex function of space and time

x denotes the position and t denotes the time.

The probability that a particle can be found in some finite space is usually given by the probability density.

Probability density of a particle corresponding to a wave function is given by,

Now, the probability that the particle will be found in a finite space is given by

dV denotes an infitesimally small volume

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