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# Dialogues - 1

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Interpretation of Wave Function

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### The interpretation of  $$| The interpretation of \(|\psi(x,t)|\,dx$$ as probability at time $$t$$ of finding particle at position between $$x$$ and  $$x+ dx$$ is inconsistent with conservation of probability as derived from the Schr\"{o}dinger equation.
If $$|\psi(x,t)|$$ is the probability density for position at time $$t$$, then the probability that the position will have any value will be given by
$$\int_{-\infty}^\infty |\psi(x,t)|dx$$. For such an interpretation, we must use the  normalization
$\int_{-\infty}^\infty |\psi(x,t)|\, dx =1$