Is the wavefunction always an analytic signal?

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The wavefunction is not always an analytic signal; it can represent any square integrable function. The discussion clarifies that the imaginary part of the wavefunction is not necessarily the Hilbert transform of the real part. This distinction is crucial for understanding the properties of wavefunctions in quantum mechanics.

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olgerm
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Is wavefunction always analytic signal?
Is imagnigray part of wavefunction hilbert transform of real part of wavefunction?
 
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olgerm said:
Is the wavefunction always an analytic signal?
Is the imaginay part of the wavefunction a hilbert transform of the real part of the wavefunction?
No. It can be any square integrable function.
 
Last edited:

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