Izbrisani sadržaj Dodani sadržaj
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Neka je:
* [[Hilbertov prostor]] <math>\mathcal{H}</math> [[Hilbertov prostor]],zajedno sa skalarnim produktom <math>\langle \cdot , \cdot \rangle</math> i normom <math>\| \cdot \| = {\langle \cdot , \cdot \rangle }^{\frac{1}{2}}</math>, te sa<math>\mathbf{1}_{\mathcal{H}}</math> kao operatorom identiteta u <math>\mathcal{H}\;</math>;
* [[Samoadjungirane linearne operatore]] u <math>\mathcal{H}</math> kao <math>\hat {A}\colon \mathcal{H} \supset D(\hat {A}) \to \mathcal{H}</math> i <math>\hat {B}\colon \mathcal{H} \supset D(\hat {B}) \to \mathcal{H}</math> sa [[Samoadjungirane linearne operatore|Samoadjungirani operatori]] u <math>\mathcal{H}</math> i <math>[\hat {A},\hat {B}] = a \mathbf{1}_{\mathcal{H} }</math>, gdje je <math>a \in \C \setminus \{ 0 \}</math>;
* Te <math>\psi \in { \; \bigl( D(\hat {A}) \cap D(\hat {B}) \cap {\hat {A}}^{-1} (D(\hat {B})) \cap {\hat {B}}^{-1} (D(\hat {A})) \bigr) \; } \subseteq \mathcal{H}</math> sa normom <math>\| \psi \| = 1</math> .
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