PMID: 15244924Jul 13, 2004Paper

Classical, semiclassical, and quantum investigations of the four-sphere scattering system

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jörg MainG Wunner

Abstract

A genuinely three-dimensional system, viz. the hyperbolic four-sphere scattering system, is investigated with classical, semiclassical, and quantum mechanical methods at various center-to-center separations of the spheres. The efficiency and scaling properties of the computations are discussed by comparisons to the two-dimensional three-disk system. While in systems with few degrees of freedom modern quantum calculations are, in general, numerically more efficient than semiclassical methods, this situation can be reversed with increasing dimension of the problem. For the four-sphere system with large separations between the spheres, we demonstrate the superiority of semiclassical versus quantum calculations, i.e., semiclassical resonances can easily be obtained even in energy regions which are unattainable with the currently available quantum techniques. The four-sphere system with touching spheres is a challenging problem for both quantum and semiclassical techniques. Here, semiclassical resonances are obtained via harmonic inversion of a cross-correlated periodic orbit signal.

References

May 1, 1993·Physical Review. a·P Gaspard, D Alonso
Mar 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Eckhardt, G Russberg
Oct 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P GaspardK Nakamura
Aug 21, 1989·Physical Review Letters·P Cvitanovic, B Eckhardt
Oct 28, 1991·Physical Review Letters·G TannerD Wintgen
Oct 24, 1994·Physical Review Letters·G VattayP E Rosenqvist
Jun 12, 1995·Physical Review Letters·H Primack, U Smilansky
Jan 15, 1996·Physical Review Letters·G Vattay, P E Rosenqvist
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T BartschG Wunner
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J Main, G Wunner
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J MainG Wunner

❮ Previous
Next ❯

Citations

Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jan Wiersig, Jörg Main
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander EberspächerGünter Wunner

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
T BartschG Wunner
Physical Review Letters
Fabricio Toscano Ozorio De Almeida AM
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Alexander EberspächerG Wunner
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C Manderfeld, H Schomerus
© 2022 Meta ULC. All rights reserved