Last Updated
：2025/11/28
projective Hilbert space
Noun
Japanese Meaning
ヒルベルト空間を、複素数倍で同一視する等価関係により割った商空間。すなわち、ベクトル同士が複素数の非零倍のみ違う場合に同一とみなす空間。
（ plural ）
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The quotient of a Hilbert space by an equivalence relation which considers a pair of vectors equivalent iff they differ only by a factor which is a complex number.
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projective Hilbert space
In quantum mechanics, the projective Hilbert space is the appropriate framework for describing pure states, since vectors that differ only by a nonzero complex scalar represent the same physical state.
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In quantum mechanics, the projective Hilbert space is the appropriate framework for describing pure states, since vectors that differ only by a nonzero complex scalar represent the same physical state.
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