arXiv subjects

E. R. Hilf

Publications and source records attributed to E. R. Hilf.

2 recordsLinked to original sources

arXiv1995

Simple Quantum Mechanical Phenomena and the Feynman Real Time Path Integral

The path integral formalism gives a very illustrative and intuitive understanding of quantum mechanics but due to its difficult sum over phases one usually prefers Schrödinger's approach. We will show that it is possible to calculate simple quantum phenomena by performing Feynman's sum over all paths staying entirely in real time. Once the propagator is obtained it is particularly easy to get the energy spectrum or the evolution of any wavefunction.

quant-ph↗

arXiv1994

Structures and Stabilities of H3+(H2)n Clusters (n=1-11)

Geometries and energies for H3+(H2)n clusters (n = 0, ..., 11) have been calculated using standard "ab initio" methods. Up to clusters with n = 6, four different Pople basis sets (DZ, TZ, TZP) have been used in the calculations. For larger cluster sizes, the calculations have been carried out with one basis set (DZ) using the HF/CISD method. We discuss here only the nice counterplay of polarisation effects between the central H3+ ion and the adsorbed H2 molecules, which naturally governs both the geometric structure and the energy of the clusters.

cond-mat↗