SUSY Transformations for Quasinormal and Total-Transmission Modes of Open Systems

Simple item page
dc.creatorLeung, P. T.
dc.creatorBrink, Alec Maassen van den
dc.creatorSuen, W. M.
dc.creatorWong, C. W.
dc.creatorYoung, K.
dc.date1999-09-28
dc.date.accessioned2026-07-07T04:32:58Z
dc.date.available2026-07-07T04:32:58Z
dc.descriptionQuasinormal modes are the counterparts in open systems of normal modes in conservative systems; defined by outgoing-wave boundary conditions, they have complex eigenvalues. The conditions are studied for a system to have a supersymmetric(SUSY) partner with the same complex quasinormal-mode spectrum (or the same except for one eigenvalue). The discussion naturally includes total-transmission modes as well(incoming at one extreme and outgoing at the other). Several types of SUSY transformations emerge, and each is illustrated with examples, including the transformation among different Poschl-Teller potentials and the well-known identity in spectrum between the two parity sectors of linearized gravitational waves propagating on a Schwarzschild background. In contrast to the case of normal modes, there may be multiple essentially isospectral partners, each missing a different state. The SUSY transformation preserves orthonormality under a bilinear map which is the analog of the usual inner product for conservative systems. SUSY transformations can lead to doubled quasinormal and total-transmission modes; this phenomenon is analysed and illustrated. The existence or otherwise of SUSY partners is also relevant to the question of inversion: are open wave systems uniquely determined by their complex spectra?
dc.description40 pages, 21 figures
dc.identifierhttps://arxiv.org/abs/math-ph/9909030
dc.identifierhttp://arxiv.org/abs/math-ph/9909030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58402
dc.subjectMathematical Physics
dc.titleSUSY Transformations for Quasinormal and Total-Transmission Modes of Open Systems
dc.typetext

Files

Collections

arXiv