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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Because quantum matter lives in this exponentially large Hilbert space.
—
Steven Strogatz, Quanta Magazine, 3 May 2023
Its Hilbert space consists of all possible combinations of amplitudes in the two locations.
—Charlie Wood, Quanta Magazine, 26 Sep. 2022
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
Steven Strogatz, Quanta Magazine, 3 May 2023
Its Hilbert space consists of all possible combinations of amplitudes in the two locations.
—Charlie Wood, Quanta Magazine, 26 Sep. 2022
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
These examples are programmatically compiled from various online sources to illustrate current usage of the word 'Hilbert space.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.
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“Hilbert space.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Hilbert%20space. Accessed 24 Apr. 2024.
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