projective Hilbert space

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Hilbert_projective_space
gptkbp:arises_from identifying vectors differing by a nonzero scalar multiple
gptkbp:category gptkb:geometry
gptkbp:definedIn the set of equivalence classes of nonzero vectors in a Hilbert space under scalar multiplication
gptkbp:field gptkb:mathematics
functional analysis
quantum mechanics
https://www.w3.org/2000/01/rdf-schema#label projective Hilbert space
gptkbp:importantFor gptkb:mathematical_foundations_of_quantum_mechanics
study of pure quantum states
gptkbp:relatedTo gptkb:Hilbert_space
gptkbp:structure gptkb:topology
Kähler manifold
gptkbp:used_in gptkb:geometry
gptkb:quantum_field_theory
representation theory
gptkbp:bfsParent gptkb:Fubini–Study_metric
gptkbp:bfsLayer 6