Der Monte Penegal

Quantum Monte Carlo Simulation of van der Waals Systems

das g?ttliche aus der sicht rumis und der romantiker

die kultur eines jeden landes kann als ein nicht in sich abgeschlossenes system angesehen werden, das durch das handeln der menschen, durch anpassung, ubernahme, bereicherung etc. mit unterschiedlichem grad der dynamik, st?ndig im wandel ist. als eine ihrer auspr?gungen, werden in der literatur verschiedener kulturkreise die interkulturellen gemeinsamkeiten deutlich sichtbar. der ursprung vorha...

Average Performance of Quasi Monte Carlo Methods for Global Optimization 3 VAN DER CORPUT SEQUENCES

In this paper we compare the average performance of one class of low-discrepancy quasi-Monte Carlo sequences for global optimization. Weiner measure is assumed as the probability prior on all optimized functions. We show how to construct van der Corput sequences and we prove their consistency. Numerical experimentation shows that the van der Corput sequence in base 2 has a better average perfor...

Monte Carlo Simulation Approach to Internal Partition Functions for van der Waals Molecules

The calculation of the internal partition function Qint, and the density of states N, is an important topic which has a vast range of applications. In fact, its accurate determination for a nonseparable potential is a long standing problem which goes back to the foundations of statistical mechanics. The density of states is required for the evaluation of reaction rate constants in transition st...

Interdimensional degeneracies in van der Waals clusters and quantum Monte Carlo computation of rovibrational states.

Quantum Monte Carlo estimates of the spectrum of rotationally invariant states of noble gas clusters suggest interdimensional degeneracy in N-1 and N+1 spatial dimensions. We derive this property by mapping the Schrodinger eigenvalue problem onto an eigenvalue equation in which D appears as a continuous variable. We discuss implications for quantum Monte Carlo and dimensional scaling methods.