Hamiltonian and Linear-Space Structure for Damped Oscillators: I. General Theory

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dc.creatorChee, S. C.
dc.creatorBrink, Alec Maassen van den
dc.creatorYoung, K.
dc.date2002-06-18
dc.date2004-02-10
dc.date.accessioned2026-07-07T04:29:15Z
dc.date.available2026-07-07T04:29:15Z
dc.descriptionThe phase space of $N$ damped linear oscillators is endowed with a bilinear map under which the evolution operator is symmetric. This analog of self-adjointness allows properties familiar from conservative systems to be recovered, e.g., eigenvectors are "orthogonal" under the bilinear map and obey sum rules, initial-value problems are readily solved and perturbation theory applies to the_complex_ eigenvalues. These concepts are conveniently represented in a biorthogonal basis.
dc.descriptionREVTeX4, 10pp., 1 PS figure. N.B.: `Alec' is my first name, `Maassen van den Brink' my family name. v2: extensive streamlining
dc.identifierhttps://arxiv.org/abs/math-ph/0206026
dc.identifierhttp://arxiv.org/abs/math-ph/0206026
dc.identifierJ. Phys. A _37_, 8865 (2004)
dc.identifierdoi:10.1088/0305-4470/37/37/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57087
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectRings and Algebras
dc.subjectClassical Physics
dc.titleHamiltonian and Linear-Space Structure for Damped Oscillators: I. General Theory
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