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(Solved): Let P2 be the operator defined by Equation (5.25) and the operator defined by ...


Let the self-adjoint operator \( H=P^{2} \) be defined by \[ \langle x|H| \phi\rangle=-\frac{d^{2}}{d x^{2}}\langle x \mid \p???????

Let P2 be the operator defined by Equation (5.25) and the operator defined by \left \langle x|P|\phi \right \rangle=\frac{1}{i}\frac{d}{dx}\left \langle x|\phi \right \rangle

With the same requirements for the functions \left \langle x|\phi \right \rangle. Show that as a consequence of (5.26) P and P2 are self-adjoint operators. Are P and P2 self-adjoint operators if (5.26) is not fulfilled?

Let the self-adjoint operator be defined by for every component of any . In order that and any power of these operators be defined in , the space of components must be the space of continuous infinitely differentiable functions for which Further


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In science, a self-adjoint administrator on a limitless layered complex vector space V with inward item {\displaystyle \langle \cdot ,\cdot \rangle }\
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