hi everybody, i'd like to discuss with you a problem occurred to me in the study of a central simmetry field in non rel. qm.(adsbygoogle = window.adsbygoogle || []).push({});

at a certain point, i get the linear operator [tex] P_{r}^{2}=\frac{1}{r}\frac{\partial^{2}}{\partial r^{2}}r [/tex], which is the square of radial momentum, and i want to determine the domain in which it is self-adjoint, i.e. the maximal subset [tex] D(P_{r}^{2})\in L^{2}(\mathbb{R}_{+},r^{2}\ \mathrm{d}r) [/tex] such that [tex]D(P_r^2)=D(P_r^2\dagger)[/tex] and the two coincide in the domain above.

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# Self-adjointness domain of P_r^2

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