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
|