Operator (physics): Difference between revisions

Revision as of 17:55, 23 February 2005

Revision as of 20:52, 22 March 2005

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[[Category:Operator theory]]

[[Category:Theoretical physics]]

In mathematical formulations of [[quantum mechanics]], an [[operator]] is a [[linear transformation]] from a [[Hilbert space]] to itself. An ''[[observable]]'' is a [[self-adjoint]] operator. By extension, operator is also used to refer to an element of a [[C-star-algebra|C* algebra]]. For the justitication of this usage, see [[Gelfand-Naimark theorem]]

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[[Category:Operator theory]]

[[Category:Theoretical physics]]