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Showing 2011 · math-phShow all
3 papers · 2 filters
math-ph2011★ 35 cited
Spectral Singularities of a General Point Interaction
Ali Mostafazadeh
We study the problem of locating spectral singularities of a general complex point interaction with a support at a single point. We also determine the bound states, examine the spe…
math-ph2011★ 50 cited
Spectral Singularities of a Complex Spherical Barrier Potential and Their Optical Realization
Ali Mostafazadeh, Mustafa Sarisaman
The mathematical notion of a spectral singularity admits a physical interpretation as a zero-width resonance. It finds an optical realization as a certain type of lasing effect tha…
math-ph2011★ 36 cited
Semiclassical Analysis of Spectral Singularities and Their Applications in Optics
Ali Mostafazadeh
Motivated by possible applications of spectral singularities in optics, we develop a semiclassical method of computing spectral singularities. We use this method to examine the spe…