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How wavelike properties of electrons lead to covalent bonds

In this video, Professor Steven Neshyba provides an overview of how wavelike properties of electrons lead to covalent bonding. Electron waves (like all waves) can be characterized by an oscillation between positive and negative phases. When orbitals from different atoms overlap, if the phases are in sync with each other then the waves tend to reinforce each other. This constructive interference increases the amplitude of the electron wave where the orbitals overlap, which translates into enhanced electron density between the atoms. This enhancement means electrons are more likely to experience attractions to both nuclei simultaneously, i.e., a covalent bond.