TY  - THES
A1  - Hohberger, Horst
T1  - Semiclassical asymptotics for the scattering amplitude in the presence of focal points at infinity
T1  - Semiklassische Asymptotik der Streuamplitude bei unendlich fernen Fokalpunkten
N2  - We consider scattering in $\R^n$, $n\ge 2$, described by the Schr\"odinger operator $P(h)=-h^2\Delta+V$, where $V$ is a short-range potential. With the aid of Maslov theory, we give a geometrical formula for the semiclassical asymptotics as $h\to 0$ of the scattering amplitude $f(\omega_-,\omega_+;\lambda,h)$ $\omega_+\neq\omega_-$) which remains valid in the presence of focal points at infinity (caustics). Crucial for this analysis are precise estimates on the asymptotics of the classical phase trajectories and the relationship between caustics in euclidean phase space and caustics at infinity.
N2  - Wir betrachten Streuung in $\R^n$, $n\ge 2$, beschrieben durch den Schr\"odinger operator $P(h)=-h^2\Delta+V$, wo $V$ ein kurzreichweitiges Potential ist. Mit Hilfe von Maslov Theorie erhalten wir eine geometrische Formel fuer die semiklassische Asymptotik ($h\to 0$) der Streuamplitude $f(\omega_-,\omega_+;\lambda,h)$ ($\omega_+\neq\omega_-$) welche auch bei Vorhandensein von Fokalpunkten bei Unendlich (Kaustiken) gueltig bleibt.
KW  - Mathematik
KW  - Physik
KW  - Streutheorie
KW  - Streuamplitude
KW  - Semiklassik
KW  - mathematics
KW  - physics
KW  - scattering theory
KW  - semiclassics
KW  - scattering amplitude
Y1  - 2006
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-11574
ER  - 
TY  - JOUR
A1  - Schmidt, Joachim
T1  - Die Arbeit bei irreversibler Druck-Volumen-Änderung
BT  - Varianten der Berechnung
N2  - For the calculation of the work in an irreversible pressure-volume change, we propose approxima-tions, which in contrast to the usual representation in the literature reflect the work performed during expansion and compression symmetrically. The calculations are based on the Reversible-Share-Theorem: Is used the force to overcome for calculating the work, so it captures only the configurational reversible work share.
KW  - physics
KW  - physical chemistry
KW  - thermodynamics
KW  - irreversible volume-change
KW  - reversible-share-theorem
KW  - total work
KW  - reversible work share
KW  - irreversible work share
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-74931
ER  -