Meanings of according to quantum in English

The cations in 3-5 show substantial Ga-P double bond character and represent heteronuclear analogues of allyl cations according to quantum chemical calculations.

According to quantum theory, forces arise from the exchange of force-carrying particles

According to quantum mechanics, an electron can orbit only at certain specific distances, called energy levels, from its proton.

According to quantum theory, one cannot pinpoint an object's position and velocity with infinite precision, nor can one predict exactly the course of future events.

According to quantum theory, even one quantum of light will disturb the particle: it will change its velocity in a way that cannot be predicted.

( According to quantum theory, if the electrons have a definite speed the corresponding matter waves have a definite wavelength.)