Analytical solution to the Schrodinger equation of a laser-driven correlated two-particle system

The time-dependent quantum system of two laser-driven electrons in a harmonic oscillator potential is analysed, taking into account the repulsive Coulomb interaction between both particles. The Schrodinger equation of the two-particle system is shown to be analytically soluble in case of arbitrary laser frequencies and individual oscillator frequencies, defining the system. Quantum information processing could be a possible field of applicationComment: 5 page

Measurement, Decoherence and Chaos in Quantum Pinball

The effect of introducing measuring devices in a ``quantum pinball'' system is shown to lead to a chaotic evolution for the particle position as defined in Bohm's approach to Quantum Mechanics.Comment: Latex, uses ioplppt style, two figures. Also can be ftp'd anonymously from: ftp://zaphod.phys.port.ac.uk/pub/papers/paper2

Quantum Chaos Versus Classical Chaos: Why is Quantum Chaos Weaker?

We discuss the questions: How to compare quantitatively classical chaos with quantum chaos? Which one is stronger? What are the underlying physical reasons

Exact field ionization rates in the barrier suppression-regime from numerical TDSE calculations

Numerically determined ionization rates for the field ionization of atomic hydrogen in strong and short laser pulses are presented. The laser pulse intensity reaches the so-called "barrier suppression ionization" regime where field ionization occurs within a few half laser cycles. Comparison of our numerical results with analytical theories frequently used shows poor agreement. An empirical formula for the "barrier suppression ionization"-rate is presented. This rate reproduces very well the course of the numerically determined ground state populations for laser pulses with different length, shape, amplitude, and frequency. Number(s): 32.80.RmComment: Enlarged and newly revised version, 22 pages (REVTeX) + 8 figures in ps-format, submitted for publication to Physical Review A, WWW: http://www.physik.tu-darmstadt.de/tqe

Die Anwendung des Multiple Sclerosis Functional Composite (MSFC) unter Berücksichtigung klinischer Parameter

$\textbf {Problem:}$ Die MS ist eine fluktuierende Erkrankung. Der MSFC wurde aus drei Tests für Arm- Bein und kognitive Funktion entwickelt. Untersucht wurde Durchführbarkeit, Korrelation mit Verlaufsform und Erkrankungsdauer und das Verhältnis zur EDSS. $\textbf {Methode:}$ 108 MS-Patienten führten den MSFC durch. Die Ergebnisse wurden mit EDSS-Werten, Verlaufsform und Erkrankungsdauer verglichen. $\textbf {Ergebnis:}$ Unterschiede bzgl. der Verlaufsform zeigen beide Tests signifikant. Mit der Erkrankungsdauer korrelierten der MSFC und die EDSS; Korrelation zwischen dem MSFC und der EDSS r=-0,51. $\textbf {Diskussion:}$ Der MSFC ist einfach durchzuführen, besitzt eine hohe Reliabilität und Validität. Der MSFC enthält neben der Beinfunktion Informationen über weitere Komponenten der MS. Der MSFC wird der Symptomvielfalt gerecht und reagiert sensitiver auf Veränderungen, daher Anwendung in Studien über kurze Zeit und in kleinen Kollektiven möglich. Anpassungsfähigkeit besteht durch den möglichen Austausch von Komponenten im Z-Score

Die Politik des Zeremoniells: Huldigungsfeiern im langen 19. Jahrhundert

Schwengelbeck M. Die Politik des Zeremoniells: Huldigungsfeiern im langen 19. Jahrhundert. Historische Politikforschung; 11. Frankfurt am Main: Campus-Verl.; 2007

UNIFIED THEORY OF LYAPUNOV EXPONENTS AND A POSITIVE EXAMPLE OF DETERMINISTIC QUANTUM CHAOS

Faisal F, SCHWENGELBECK U. UNIFIED THEORY OF LYAPUNOV EXPONENTS AND A POSITIVE EXAMPLE OF DETERMINISTIC QUANTUM CHAOS. PHYSICS LETTERS A. 1995;207(1-2):31-36.A unified theory of quantum Lyapunov exponents, based on the Hamilton-Jacobi formulation of quantum mechanics, is applied to Weigert's quantum cat map. It is shown to provide a definite positive example of deterministic quantum chaos in terms of extreme sensitivity on initial conditions and a positive definite Lyapunov exponent

IONIZATION OF THE ONE-DIMENSIONAL COULOMB ATOM IN AN INTENSE LASER FIELD

SCHWENGELBECK U, Faisal F. IONIZATION OF THE ONE-DIMENSIONAL COULOMB ATOM IN AN INTENSE LASER FIELD. PHYSICAL REVIEW A. 1994;50(1):632-640.Interaction of the one-dimensional (1D) Coulomb atom with an intense radiation field is analyzed using the ''hard'' Coulomb potential V(c)(x)=-1/\x\ and the ''soft'' Coulomb potential V(x)=-1/square-root x2 + 1. Evolution of the probability wave packet and the photoelectron spectra is simulated numerically. In strong fields it is found (a) that the electron wave packet can break up into individual subpackets, (b) that there is a one-to-one correlation between the subpackets in space and the above-threshold-ionization peaks in energy, and (c) that a spatial confinement of the probability density can occur at a very high intensity. Finally, an example is given which indicates that the 1D ''hard'' Coulomb atom is less stable than the 1D ''soft'' Coulomb atom

Transition to deterministic chaos in a periodically driven quantum system and breaking of the time-reversal symmetry

Schwengelbeck U, Faisal F. Transition to deterministic chaos in a periodically driven quantum system and breaking of the time-reversal symmetry. PHYSICAL REVIEW E. 1997;55(5):6260-6263.The phenomenon of transition from regular to chaotic dynamics in a periodically driven quantum system is demonstrated. The associated quantum Lyapunov numbers are determined analytically. A numerical experiment is made to test the nature of time evolution predicted by the theory. In contrast to the evolution in the regular domain, the passage to deterministic quantum chaos is found to break the time-reversal symmetry of the quantum dynamics, whenever the latter cannot be followed with infinite precision