Pole structure of the Hamiltonian $\zeta$-function for a singular potential

H. Falomir, P. A. G. Pisani, A. Wipf

We study the pole structure of the $\zeta$-function associated to the Hamiltonian $H$ of a quantum mechanical particle living in the half-line ${\mathbf{R}}^{+}$, subject to the singular p…