Electron double-slit experiment transverse or longitudinal waves?

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The double-slit experiment with electrons demonstrates an interference pattern that does not correspond to traditional transverse or longitudinal waves. Instead, the electron waves are described by a quantum mechanical wave function, which indicates probabilities of physical interactions rather than physical oscillations. This wave function allows for the emergence of wave-like properties, such as interference, but these behaviors are not indicative of a true physical phenomenon. The underlying nature of electron waves is fundamentally different from classical wave types. Ultimately, the interference pattern cannot be used to classify electron waves as either transverse or longitudinal.
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In the case of the double-slit experiment using electrons, what kind of interference pattern is created? Characteristic to transverse or longitudinal waves? Can we tell only analyzing the interference pattern what type of waves created it? Thanks!
 
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The electron waves are not transverse or longitudinal. They do not represent any physical oscillations. Rather, their wave properties are only manifested by the fact that the likelyhood of a physical interaction in space can be described by the quantum mechanical wave function. This wave function allows for the matter waves to have a phase which allows for traditional wave properties like interference to arise. But these underlying wave behavior is not a true physical phenomenon, only its consequences.
 
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