Quantificational noun phrase

Definition
Quantificational noun phrase is a noun phrase which in LF moves into an A-bar position, binding its trace the way an operator binds a variable.

Example
If sentence (i)a means that for every girl it is the case that he gave her a book, its LF looks like (i)b where the quantificational noun phrase every girl is moved into an A-bar position, leaving behind a variable x and taking scope over a book, and is decomposed into the 'quantifier' every x and its restriction x a girl.

(i) a he gave a book to every girl b every x, x a girl] [he gave a book to x

Links
Utrecht Lexicon of Linguistics