The scope of this paper is to compare two different approaches for solving the Wheeler-DeWitt (WDW) equation in presence homogeneous matter (inflaton) and perturbations around it. standard Born-Oppenheimer (BO) decomposition, which consists factorizing out gravitational wave function then defining flow time through it, a more general BO decomposition where whole minisuperspace factorized out. a...

We show that a recent non-Born-Oppenheimer calculation of dipole moments exhibits obscure points and is not consistent with the well known Hellmann-Feynman theorem.

In response to an invitation from this journal, I am providing this mini-review of recent work from the Oppenheimer lab. Over the past 4 decades we have developed many assays that help us examine the role of specifc glycans in cellular interactions. Recently we have used two model systems for this work, the sea urchin embryo and yeast (Saccharomyces cerevisiae). We have developed two assays usi...

This thesis consists of four papers that concern error estimates for the BornOppenheimer molecular dynamics, and adaptive algorithms for the Car-Parrinello and Ehrenfest molecular dynamics. In Paper I, we study error estimates for the Born-Oppenheimer molecular dynamics with nearly crossing potential surfaces. The paper first proves an error estimate showing that the difference of the values of...

In this paper, I attempt to reconcile two different theoretical approaches to the philosophy of fiction, namely, the theory of abstract objects (hereafter ‘object theory’) and pretense theory. I think that the seminal insights of both theories are, for the most part, consistent with one another. To make this idea plausible, I spend a large part of what follows both correlating the basic notions...