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Hilbert space

NOUN
  1. a metric space that is linear and complete and (usually) infinite-dimensional

How To Use Hilbert space In A Sentence

  • An infinite-dimensional Hilbert space arises even in the simple situation of the location of a single particle.
  • He was mainly interested in the applications of this subject to linear transformations on Hilbert space.
  • If a set of quantum systems compose a system whose quantum state is represented quantum mechanically by a tensor-product state-vector which does not factorize into a vector in the Hilbert space of each individual system, those systems are said to be entangled. Holism and Nonseparability in Physics
  • ● Piron's result: from elementary questions recover the geometry of the Hilbert space (over the reals, complex, and quaternionic numbers). Recently Uploaded Slideshows
  • Idempotent operator algebras acting on a Hilbert space H are defined.
  • In chapter three we mainly studied the pseudo - inverse operator and the frame in Hilbert space.
  • The momentum states will also be represented in this same Hilbert space.
  • We shall need to take a glimpse at the mathematical structure of a Hilbert space.
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