About: Projective Hilbert space

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In mathematics and the foundations of quantum mechanics, the projective Hilbert space of a complex Hilbert space is the set of equivalence classes of non-zero vectors in , for the relation on given by if and only if for some non-zero complex number . The equivalence classes of for the relation are also called rays or projective rays. This is the usual construction of projectivization, applied to a complex Hilbert space.

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  • In mathematics and the foundations of quantum mechanics, the projective Hilbert space of a complex Hilbert space is the set of equivalence classes of non-zero vectors in , for the relation on given by if and only if for some non-zero complex number . The equivalence classes of for the relation are also called rays or projective rays. This is the usual construction of projectivization, applied to a complex Hilbert space. (en)
  • L'espace projectif de Hilbert, en mathématiques et en mécanique quantique, est un espace projectif d'un espace de Hilbert complexe. (fr)
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  • In mathematics and the foundations of quantum mechanics, the projective Hilbert space of a complex Hilbert space is the set of equivalence classes of non-zero vectors in , for the relation on given by if and only if for some non-zero complex number . The equivalence classes of for the relation are also called rays or projective rays. This is the usual construction of projectivization, applied to a complex Hilbert space. (en)
  • L'espace projectif de Hilbert, en mathématiques et en mécanique quantique, est un espace projectif d'un espace de Hilbert complexe. (fr)
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  • Espace projectif de Hilbert (fr)
  • Projective Hilbert space (en)
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