Source: /cirosantilli/continuous-spectrum-functional-analysis

= Continuous spectrum
{disambiguate=functional analysis}

= Continuous spectrum
{synonym}

Unlike the simple case of a <matrix>, in <infinite dimensional> vector spaces, the spectrum may be continuous.

The quintessential example of that is the spectrum of the <position operator> in <quantum mechanics>, in which any <real number> is a possible <eigenvalue>, since the particle may be found in any position. The associated <eigenvectors> are the corresponding <Dirac delta functions>.