The mathematical formulations of quantum mechanics are abstract. A mathematical function, the wave function, provides information about the probability amplitude of position, momentum, and other physical properties of a particle.
Knowing that the adjective palatial is derived from the same Latin word as palace gives you a good sense of its meaning: magnificent, reminiscent of a home fit for a king. play look up
palace late 13c., official residence of an emperor, king, archbishop, etc., from O.Fr. palais, from M.L. palacium a palace, from L. palatium palace (cf. Sp. palacio, It. palazzo), from Mons Palatinus the Palatine Hill, one of the seven hills of ancient Rome, where Augustus Caesar's house stood (the original palace), later the site of the splendid residence built by Nero.