We study the quantum foundations of a theory of large amplitude collective motion for a Hamiltonian expressed in terms of canonical variables. In previous work the separation into slow and fast (collective and non-collective) variables was carried out without the explicit intervention of the Born Oppenheimer approach. The addition of the Born Oppenheimer assumption not only provides support for...

In this paper, we show that a variety of important philosophical claims that Saul Kripke has advanced in his work are either provable in, or validated by, the theory of abstract objects (hereafteròbject theory'). 1 We'll investigate both metaphysical claims and claims concerning language which appear in Kripke's work. To establish that one of Kripke's metaphysical claims is provable in object t...

J. Robert Oppenheimer, ambitious leader of the Manhattan Project, struggled with intense ethical dilemmas. To continue to work on the atom bomb, he had to abandon his communist friends in order to prove to military monitors his loyalty to the US government. Later, Oppenheimer faced the moral implications of the project’s success. His struggles with ambition, betrayal, and moral quandaries made ...

Molecular Calculations with Explicitly Correlated Gaussians Sergiy Bubin,*,† Michele Pavanello,*,‡ Wei-Cheng Tung, Keeper L. Sharkey, and Ludwik Adamowicz* †Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, United States ‡Department of Chemistry, Rutgers University Newark, Newark, New Jersey 07102, United States Department of Chemistry and Biochemistry and ...