Last Updated:2025/11/28
Sentence

量子力学では、非ゼロの複素数によるスカラー倍だけで異なるベクトルを同一視して得られるヒルベルト空間の商空間が、純粋状態を記述するための適切な枠組みである。

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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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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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Related words

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。
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量子力学では、非ゼロの複素数によるスカラー倍だけで異なるベクトルを同一視して得られるヒルベルト空間の商空間が、純粋状態を記述するための適切な枠組みである。

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