With recent developments in simulating nonadiabatic systems to high accuracy, it has become possible to determine how much energy is attributed to nuclear quantum effects beyond zero-point energy. In this work, we calculate the non-relativistic ground-state energies of atomic and molecular systems without the Born-Oppenheimer approximation. For this purpose, we utilize the fixed-node diffusion ...

We present an alternative method for the kinematic analysis of high proper motion surveys and discuss its application to the survey of Oppenheimer et al. (2001) for the selection of reliable halo white dwarfs (WDs). The local WD space density we estimate is ρWD ≃ 1 ÷ 2 · 10 −5 M⊙pc −3 , which is about an order of magnitude smaller than the value derived in Oppenheimer et al. (2001), and is cons...

We examine the e€ect of the diagonal Born±Oppenheimer correction on dynamics in two simple systems ± the Hooke's atom in an external harmonic potential and the collinear hydrogen exchange reaction. The transmission probability for the Hooke's atom, calculated within the Born±Oppenheimer approximation, is simply shifted in energy with respect to the exact result, and this is corrected by the dia...

The motion of a muon in two centers coulomb field is one of the interesting problems of quantum mechanics. The adiabatic expansion method is powerful approach to study the muonic three-body system. In this investigation the three-body problem is studied for shortrange interactions. Bound states and energy levels of this system were calculated and compared with their Born-Oppenheimer method coun...

.......................................................................................................... 5 Chapter 1 – Introduction ............................................................................. 8 1.1 Carbon Nanomaterials ............................................................................................9 1.2 Applications of Carbon Nanotubes ..............................

We study the magnetic Laplacian in the case when the Neumann boundary contains an edge. We provide complete asymptotic expansions in powers of h of the low lying eigenpairs in the semiclassical limit h→ 0. In order to get our main result we establish a general method based on a normal form procedure, microlocal arguments, the Feshbach-Grushin reduction and the Born-Oppenheimer approximation.

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...