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"http://wwwinformationdelightinfo/encyclopedia/entry/integral" class="copylinks">Integral over the whole of three-dimensional space, then it is possible to choose a ''normalising constant'', ''c'', so that by replacing ψ by ''c''ψ the integral becomes 1 Then the probability that a particle is within a particular region ''V'' is the integral over ''V'' of ψ<sup>2</sup> Which means, according to the Copenhagen Interpretation of Quantum Mechanics , that, if some observator tries to measure the quantity associated to this probability amplitude, the result of the measurement will lie within Σ with a probability P(Σ) given by
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\int_\Sigma^{} \psi(x)^2 dx / \int_\Sigma^{} dx </math>
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"http://wwwinformationdelightinfo/encyclopedia/entry/Schrödinger_equation" class="copylinks">Schrödinger Equation
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abla \psi - \psi
- }
ight) = {\hbar \over m} Im \left( \psi ^{---}
abla \psi
ight)
The probability flux satisfies a quantum
Continuity Equation , i.e.:
::
where P(x,t) is the
Probability Density and measured in units of ''(probability)/(volume) = r
-3''.
This equation is the mathematical equivalent of
Probability Conservation Law .
It is easy to show that for a plane
Wave Function ,
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A^2 {k \hbar \over m} </math>
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