- #1

Clausius

- 4

- 0

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.