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Spectral Singularities of a General Point Interaction
Complex potential spectral singularity point interaction PT -symmetry
2011/8/31
Abstract: 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 special cases...
Spectral Singularities of a Complex Spherical Barrier Potential and Their Optical Realization
Complex potential spectral singularity zero-width resonance gain medium threshold gain spherical dye laser
2011/8/31
Abstract: 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 that occurs a...
Spectral Singularities of a Complex Spherical Barrier Potential and Their Optical Realization
Complex potential spectral singularity zero-width resonance gain medium threshold gain spherical dye laser
2011/8/16
Abstract: 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 that occurs a...
Spectral singularities such as exceptional points invoke specific physical effects. The present
paper focuses upon the time dependent solutions of the Schr¨odinger equation. In a simple model it is d...
Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
Scattering Potentials Infi nite Refl ection Transmission Coefficients real Energies
2010/4/16
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering po...
Spectral Singularities, Biorthonormal Systems, and a Two-Parameter Family of Complex Point Interactions
complex potential spectral singularity biorthonormal system scattering bound state quasi-Hermitian PT -symmetry point interaction
2010/4/13
A curious feature of complex scattering potentials v(x) is the appearance of spectral singularities. We offer a quantitative description of spectral singularities that identifies them with an obstruct...