Regensburg 2004 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
DY: Dynamik und Statistische Physik
DY 26: General Statistical Physics
DY 26.4: Vortrag
Dienstag, 9. März 2004, 17:30–17:45, H2
High-Loop Variational Calculation of the Effective Potential — •Sebastian Brandt and Axel Pelster — Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
The thermodynamic properties of a quantum mechanical point particle moving in a one-dimensional potential V(x) follow from its effective potential Veff(X) where X denotes the path average. For zero temperature we present an efficient high-loop calculation of Veff(X) based on algebraic recursion relations. In case of an anharmonic oscillator with x3 and x4 interactions we resum the divergent loop expansion via variational perturbation theory. Using both frequency and position of a trial oscillator as variational parameters, we determine the ground-state energy of the above anharmonic oscillator for arbitrary coupling strength. For pure x4 interaction, we furthermore extend our approach to D spatial dimensions and investigate, in particular, the large D-limit.