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Hamiltonian and Linear-Space Structure for Damped Oscillators: II. Critical Points
S. C. Chee, Alec Maassen van den Brink, K. Young
The eigenvector expansion developed in the preceding paper for a system of damped linear oscillators is extended to critical points, where eigenvectors merge and the time-evolution…
Hamiltonian and Linear-Space Structure for Damped Oscillators: I. General Theory
S. C. Chee, Alec Maassen van den Brink, K. Young
The phase space of damped linear oscillators is endowed with a bilinear map under which the evolution operator is symmetric. This analog of self-adjointness allows properties f…
SUSY Transformations for Quasinormal and Total-Transmission Modes of Open Systems
P. T. Leung, Alec Maassen van den Brink, W. M. Suen +2
Quasinormal modes are the counterparts in open systems of normal modes in conservative systems; defined by outgoing-wave boundary conditions, they have complex eigenvalues. The con…
Waves in Open Systems via Bi-orthogonal Basis
P. T. Leung, W. -M. Suen, C. P. Sun +1
Dissipative quantum systems are sometimes phenomenologically described in terms of a non-hermitian hamiltonian , with different left and right eigenvectors forming a bi-orthogon…