Hilbert space
noun
Hil·bert space
ˈhil-bərt- 
: a vector space for which a scalar product is defined and in which every Cauchy sequence composed of elements in the space converges to a limit in the space
Examples of Hilbert space in a Sentence
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That’s all well and good, but our Universe isn’t well-described as a physical Hilbert space, so that isn’t a compelling argument.
—
Ethan Siegel, Big Think, 8 Aug. 2025
Because quantum matter lives in this exponentially large Hilbert space.
—Steven Strogatz, Quanta Magazine, 3 May 2023
Instead it is found in a 4-D mathematical entity called a Hilbert space.
—Davide Castelvecchi, Scientific American, 8 Feb. 2022
This is most clear with the many-worlds interpretation of quantum mechanics, which says that the world is described by a state in a Hilbert space evolving according to the Schrodinger equation and that's it.
—Sean Carroll, Discover Magazine, 4 June 2012
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Ethan Siegel, Big Think, 8 Aug. 2025
Because quantum matter lives in this exponentially large Hilbert space.
—Steven Strogatz, Quanta Magazine, 3 May 2023
Instead it is found in a 4-D mathematical entity called a Hilbert space.
—Davide Castelvecchi, Scientific American, 8 Feb. 2022
This is most clear with the many-worlds interpretation of quantum mechanics, which says that the world is described by a state in a Hilbert space evolving according to the Schrodinger equation and that's it.
—Sean Carroll, Discover Magazine, 4 June 2012
Cite this Entry
“Hilbert space.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Hilbert%20space. Accessed 29 Sep. 2025.
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