Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-04-06
Rev.Mod.Phys.70:1545,1998
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Review of Modern Physics, 70, 1545, 1998
Scientific paper
10.1103/RevModPhys.70.1545
An open system is not conservative because energy can escape to the outside. An open system by itself is thus not conservative. As a result, the time-evolution operator is not hermitian in the usual sense and the eigenfunctions (factorized solutions in space and time) are no longer normal modes but quasinormal modes (QNMs) whose frequencies $\omega$ are complex. QNM analysis has been a powerful tool for investigating open systems. Previous studies have been mostly system specific, and use a few QNMs to provide approximate descriptions. Here we review recent developments which aim at a unifying treatment. The formulation leads to a mathematical structure in close analogy to that in conservative, hermitian systems. Many of the mathematical tools for the latter can hence be transcribed. Emphasis is placed on those cases in which the QNMs form a complete set for outgoing wavefunctions, so that in principle all the QNMs together give an exact description of the dynamics. Applications to optics in microspheres and to gravitational waves from black holes are reviewed, and directions for further development are outlined.
Ching Emily S. C.
Leung Pak Tao
Suen W.-M.
Tong S. S.
Young Kenneth K.
No associations
LandOfFree
Waves in Open Systems: Eigenfunction Expansions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Waves in Open Systems: Eigenfunction Expansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Waves in Open Systems: Eigenfunction Expansions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-186795