Normalizing the wave function psi x AYour derivation is mostly correct, but you made a small mistake when evaluating the integralbeginequation.A rvert2 dx 1. The antiderivative of a constant C is the product of this constant with the integration variable, e.C. Sobeginalign. Psi StatisticsA wave function in quantum physics is a mathematical description of the quantum state of a system. The Official Highway Code Free Download more. The wave function is a complexvalued probability amplitude, and.Fc2e%2Fc2e4c192-1778-47ab-8931-e58536fdd7be%2FphpKEmQcJ.png' alt='Wave Function Psi' title='Wave Function Psi' />Psi Wave FunctionA rvert2 dx Bigl x lvert A rvert2 Bigr b3b lvert A rvert2 bigl3b bbigr 4 b lvert A rvert2 1.Rightarrow A pm frac12 sqrtb.As for the pm sign ambiguity In quantum mechanics, we know that a wave function can always be multiplied by a constant phase factor beginequation.Schrodinger equation and the probability current are unaffected by the above transformation.So since 1 emathrmi pi and 1 emathrmi 2 pi are examples of such constant phase factors it doesnt make a difference, from a physics point of view, whether you use frac12 sqrtb or frac12 sqrtb since both lead to the exact same physical results and are thus physically equivalent.
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November 2017
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