Pole structure of the Hamiltonian $\zeta$-function for a singular potential
Pole structure of the Hamiltonian $\zeta$-function for a singular potential
We study the pole structure of the ζ-function associated with the Hamiltonian H of a quantum mechanical particle living in the half-line +, subject to the singular potential gx−2 + x2. We show that H admits nontrivial self-adjoint extensions (SAE) in a given range of values of the parameter g. …