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These effects illustrate the superiority of the field theoretical second quantisation approach as compared with the wave function formalism.
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In the rare case of a hypernucleus, a third baryon called a hyperon, with a different value of the strangeness quantum number can also share the wave function.
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Additionally, the ability to scale solutions allows one to solve for a wave function without normalizing it first.
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Corollary: the ground state density uniquely determines the potential and thus all properties of the system, including the many-body wave function.
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In quantum mechanics a free particle has as state function a plane wave function, which is a non-square-integrable function of well-defined momentum.
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On the other hand, in the many-worlds interpretation of quantum mechanics, reality consists only of a deterministically evolving wave function, non-locality is a non-issue.
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The wavefunction itself, and not the particles, determines the dynamical evolution of the system: the particles do not act back onto the wave function.
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This may result in a change of the positron's state, collapsing its wave function and reducing the instantaneous chance of electron-positron annihilation.
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Intuitively, one might think that such a wave function should randomly ionize atoms throughout the cloud chamber, but this is not the case.
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That is, the wave function of the system before interchanging equals the wave function of the system after interchanging.
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