In this paper, we study the scattering wave operators for a diatomic molecules by using the Born-Oppenheimer approximation. Assuming that the ratio h between the electronic and nuclear masses is small, we construct adiabatic wave operators that, under some non trapping conditions, approximate the two-cluster wave operators up to any powers of the parameter h.

Heinrich Scholz (1884–1956) was a German Protestant theologian, philosopher and logician who established the study of logic as an independent subject by founding Germany’s first research institute for logic, in Munster. Since he also contributed to historiography well acquainted with work Paul Hertz Gerhard Gentzen. (For further information on cf. Peckhaus, V. (2018). Scholz. In: The Stanford E...

We present a set of lecture notes for modeling stellar structure in regimes where general relativistic effects become important, such as for neutron stars. The framework draws directly from solving the Einstein equation for a spherically symmetric star in static equilibrium in terms of energy density, pressure, and a term like the gravitational potential. The equation is presented as a somewhat...

We examine Karen Bennett’s claim, in Bennett 2006, that the view articulated in Linsky and Zalta 1994 and 1996 is not consistent with the thesis of actualism. Actualism is the thesis that everything there is, i.e., everything that exists, is actual. Actualism has long been thought to be incompatible with the simplest quantified modal logic (QML), in which there is a fixed domain common to every...

Electronically nonadiabatic or non-Born-Oppenheimer (non-BO) chemical processes (photodissociation, charge-transfer, etc.) involve a nonradiative change in the electronic state of the system. Molecular dynamics simulations typically treat nuclei as moving classically on a single adiabatic potential energy surface, and these techniques are not immediately generalizable to non-BO systems due to t...