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- ...somorphic]] to its [[dual space|dual]] and is actually its own dual if the Hilbert space is real. ...ties or "observables" are postulated as [[self-adjoint operator]]s on that Hilbert space. States serve to assign statistical properties to observables of the system2 KB (258 words) - 12:33, 4 January 2009
- 12 bytes (1 word) - 08:14, 13 October 2007
- 67 bytes (8 words) - 12:32, 4 January 2009
- 955 bytes (150 words) - 15:15, 28 July 2009
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- ...somorphic]] to its [[dual space|dual]] and is actually its own dual if the Hilbert space is real. ...ties or "observables" are postulated as [[self-adjoint operator]]s on that Hilbert space. States serve to assign statistical properties to observables of the system2 KB (258 words) - 12:33, 4 January 2009
- {{r|Hilbert space}}423 bytes (60 words) - 15:14, 28 July 2009
- {{r|Hilbert space}}359 bytes (48 words) - 15:04, 28 July 2009
- {{r|Hilbert space}}297 bytes (43 words) - 12:20, 4 January 2009
- {{r|Hilbert space}}347 bytes (48 words) - 14:08, 26 July 2008
- * [[Hilbert space]]982 bytes (148 words) - 07:17, 3 December 2007
- ...2 is special since it is also a [[Hilbert space]] and is in fact the only Hilbert space among the <math>\scriptstyle L^p(\mathbb{T})</math> spaces, <math> \scripts2 KB (317 words) - 13:13, 14 July 2008
- {{r|Hilbert space}}497 bytes (65 words) - 16:06, 11 January 2010
- ...t class of reflexive Banach spaces are the [[Hilbert space]]s, i.e., every Hilbert space is a reflexive Banach space. This follows from an important result known as4 KB (605 words) - 17:25, 20 November 2008
- {{r|Hilbert space}}940 bytes (149 words) - 15:13, 28 July 2009
- {{r|Hilbert space}}1 KB (172 words) - 15:25, 15 May 2011
- ...is defined. A [[completeness|complete]] inner product space is called a [[Hilbert space]].1 KB (204 words) - 14:38, 4 January 2009
- {{r|Hilbert space}}296 bytes (36 words) - 18:51, 12 July 2008
- * [[Hilbert space]]3 KB (441 words) - 12:23, 4 January 2009
- ...tes of a quantum (mechanical) system. The state of a quantum system on a [[Hilbert space]] <math>\scriptstyle \mathcal{H}</math> is represented by a non-negative de ...(\mathcal{H})</math>. Let <math>\scriptstyle \mathcal{K}</math> be another Hilbert space (can be the same as <math>\scriptstyle \mathcal{H}</math>). A quantum opera4 KB (681 words) - 12:41, 22 February 2010
- ...f a complex [[matrix]] to linear operators on [[complex number|complex]] [[Hilbert space|Hilbert spaces]]. In this article the adjoint of a linear operator ''M'' wi ...matics, the ''adjoint'' of a linear operator ''T'' on an arbitrary complex Hilbert space ''H'', with inner product ⟨ ⋅, ⋅ ⟩<sub>''H''</sub>, c5 KB (914 words) - 08:41, 17 October 2009
- ...omain <math>\scriptstyle H_0</math> which is a dense subspace of a complex Hilbert space ''H'' then it is self-adjoint if <math>\scriptstyle A=A^*</math>, where <ma On an infinite dimensional Hilbert space, a self-adjoint operator can be thought of as the analogy of a real symme4 KB (709 words) - 06:58, 23 December 2008
- {{r|Hilbert space}}905 bytes (145 words) - 15:27, 28 November 2008
- {{r|Hilbert space}}598 bytes (75 words) - 20:17, 11 January 2010
- ...of quantum mechanics the state of a system corresponds to a vector in a [[Hilbert space]], so the state <math>|\psi\rangle</math> is analogous to the [[wave functi Let <math>\mathcal{H}</math> be a Hilbert space and <math>\mathcal{H}^*</math> its [[dual space]] (which is [[isomorphic]]4 KB (690 words) - 12:51, 26 March 2011