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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Self-adjointness domain of P_r^2

**Physics Forums | Science Articles, Homework Help, Discussion**