Exceptional points of non-Hermitian operators
From MaRDI portal
Publication:4466317
DOI10.1088/0305-4470/37/6/034zbMath1044.81039arXivquant-ph/0304152OpenAlexW3103270411MaRDI QIDQ4466317
Publication date: 9 June 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0304152
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items
Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians ⋮ Pseudo-Hermitian systems with \(\mathcal {PT}\)-symmetry: degeneracy and Krein space ⋮ Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system ⋮ Exceptional Points in a Non-Hermitian Extension of the Jaynes-Cummings Hamiltonian ⋮ Physical Aspect of Exceptional Point in the Liouvillian Dynamics for a Quantum Lorentz Gas ⋮ Particular spectral singularity in the continuum energies: a manifestation as resonances ⋮ Loschmidt Echo and Fidelity Decay Near an Exceptional Point ⋮ The Scattering Problem in PT‐Symmetric Periodic Structures of 1D Two‐Material Waveguide Networks ⋮ On the non-self-adjoint and multiscale character of passive scalar mixing under laminar advection ⋮ Dynamics of cubic-quintic nonlinear \(\mathcal{PT}\)-symmetry mechanical oscillators ⋮ Non-Hermitian Ising model at finite temperature ⋮ Floquet exceptional points and chirality in non-Hermitian Hamiltonians ⋮ Exceptional points of infinite order giving a continuous spectrum ⋮ Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials ⋮ Degenerate perturbation theory in thermoacoustics: high-order sensitivities and exceptional points ⋮ Stability and collisions of quantum droplets in \(\mathcal{PT}\)-symmetric dual-core couplers ⋮ Biorthogonal quantum systems ⋮ Direct demonstration of the completeness of the eigenstates of the Schrödinger equation with local and nonlocal potentials bearing a Coulomb tail ⋮ Damping of coupled harmonic oscillators ⋮ Coalescing Eigenvalues and Crossing Eigencurves of 1-Parameter Matrix Flows ⋮ Remarks on pseudo-Hermitian matrices and their exceptional points ⋮ Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation ⋮ Non-Hermitian trimers: PT-symmetry versus pseudo-Hermiticity ⋮ Some remarks on ‘superradiant’ phase transitions in light-matter systems ⋮ Spectral branch points of the Bloch–Torrey operator
This page was built for publication: Exceptional points of non-Hermitian operators
