De Broglie wave as a spatial energy density wave

De Broglie wave as a spatial energy density wave

(zenodo.org) Transverse and longitudinal wave coupling In classical mechanics, transverse waves can only exist in an elastic medium where there are shear stresses (e.g., solids). Longitudinal waves exist in solids as well as in liquids and gases. They transmit disturbance through compression and rarefaction. If we talk about a particle as some wave structure in space, we can ask the question: If the particle has a wave nature, which wave creates the interference pattern - transverse or longitudinal? What happens in a single-slit experiment? When a particle passes through the slit, its wave function envelopes the obstacle and creates an interference pattern. This property is characteristic of all waves, whether they are transverse or longitudinal. But assuming that the de Broglie wave is inherently longitudinal, this might explain: Why the wave function obeys the Schrödinger equation, which is similar to the equation for acoustic waves. Why a particle experiences wave effects even without the presence of a medium (which is strange for ordinary mechanics). Is a transverse wave always accompanied by a...
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