Renormalizing the kinetic energy operator in elementary quantum mechanics

In this paper, we consider solutions to the three-dimensional Schrodinger equation of the form psi(r) = u(r)/r, where u(0) not equal 0. The expectation value of the kinetic energy operator for such wavefunctions diverges. We show that it is possible to introduce a potential energy with an expectation value that also diverges, exactly cancelling the kinetic energy divergence. This renormalization procedure produces a self-adjoint Hamiltonian. We solve some problems with this new Hamiltonian to illustrate its usefulness.

Understanding and enhancing research-policy linkages in Australian housing: A discussion paper

This project aimed to develop a systematic framework for understanding the relationship between social science research and public policy, and to build more effective linkages between social researchers and policy practitioners in the Australian housing system, particularly through AHURI. The project is explicitly applied and solution-focused. It was undertaken in close collaboration with AHURI and has contributed to AHURI's overall mission and strategy to enhancing research-based housing policy. It provided an opportunity for the AHURI policy community to engage in a process of action-oriented, self-reflection around its core business of applied housing policy research.