Last Updated :2025/11/20

Hilbert space

Noun
Japanese Meaning
数学的関数が点の役割を果たすような一般化されたユークリッド空間。量子力学をはじめとする応用数学や物理学の理論において基礎的な概念として利用される。
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量子力学では、系の状態ベクトルは関数が点の代わりをする一般化されたユークリッド空間であるヒルベルト空間の要素であり、そこで内積が直交性を定めます。

plural

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(functional analysis) A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications.

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Hilbert space

In quantum mechanics, the state vectors of a system are elements of a Hilbert space that encodes inner products and orthogonality.

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In quantum mechanics, the state vectors of a system are elements of a Hilbert space that encodes inner products and orthogonality.

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