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2014, CRM monograph series, ISBN 0821843559, Volume 33, xi, 306 pages
Book
Physical Review Letters, ISSN 0031-9007, 06/2009, Volume 102, Issue 22, p. 220402
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify... 
NON-DIAGONALIZABLE HAMILTONIANS | SYMMETRY | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | NON-HERMITIAN HAMILTONIANS | WAVEGUIDES | REFLECTION | RESONANCE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | RESONATORS | SINGULARITY | HAMILTONIANS | EIGENFUNCTIONS | POTENTIALS | SCATTERING
Journal Article
1991, ISBN 9780821841044, Volume 5., vi, 194
Book
1985, Lecture notes in mathematics, ISBN 9780387160375, Volume 1160, vi, 115
Book
Nature Communications, ISSN 2041-1723, 01/2015, Volume 6, Issue 1, p. 5905
Sensing an incoming signal is typically associated with absorbing a portion of its energy, inherently perturbing the measurement and creating reflections and... 
MULTIDISCIPLINARY SCIENCES | NON-HERMITIAN HAMILTONIANS
Journal Article
2016, Second edition., Graduate studies in mathematics, ISBN 1470409860, Volume 175., xviii, 453 pages
Book
1984, Memoirs of the American Mathematical Society, ISBN 0821822896, Volume no. 289., vi, 121
Book
2011, Cambridge monographs on mathematical physics, ISBN 052189512X, xvii, 466
The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and... 
Gauge invariance | Hamiltonian systems | Physics | Field theory (Physics)
Book
1999, Lecture notes in mathematics, ISBN 9783540666301, Volume 1719., ix, 144
The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group and many first integrals. These lecture notes are an... 
Hamiltonian systems | Many-body problem | Numerical solutions | Global Analysis and Analysis on Manifolds | Global analysis
Book
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2019, Volume 351, pp. 117 - 135
In this paper we study the efficient solution of the well-known Korteweg–de Vries equation, equipped with periodic boundary conditions. A Fourier–Galerkin... 
Hamiltonian problems | Hamiltonian partial differential equations | Energy-conserving methods | Korteweg–de Vries equation | HBVMs | Hamiltonian boundary value methods | Korteweg-de Vries equation | MATHEMATICS, APPLIED | IMPLEMENTATION | DISCONTINUOUS GALERKIN METHOD | KDV EQUATION | NONLINEAR SCHRODINGER-EQUATION | IMPLICIT METHODS
Journal Article
Optics Express, ISSN 1094-4087, 11/2016, Volume 24, Issue 23, pp. 26146 - 26151
Light propagation through a finite-width periodically modulated layer obeying parity-time (PT) symmetry is considered. We consider the configuration when the... 
OPTICS | NON-HERMITIAN HAMILTONIANS
Journal Article
DOKLADY MATHEMATICS, ISSN 1064-5624, 11/2017, Volume 96, Issue 3, pp. 607 - 611
The dynamics of the eigenvalues of a family of Sturm-Liouville operators with complex integrable PJ -symmetric potential on a finite interval is studied. In... 
MATHEMATICS | HAMILTONIANS
Journal Article
Physical Review Letters, ISSN 0031-9007, 11/2013, Volume 111, Issue 20, p. 200501
A big open question in the quantum information theory concerns the feasibility of a self-correcting quantum memory. A quantum state recorded in such memory can... 
HAMILTONIANS | COMPUTATION | PHYSICS, MULTIDISCIPLINARY | STABILITY | ANYONS
Journal Article
Optics Letters, ISSN 0146-9592, 11/2012, Volume 37, Issue 21, pp. 4455 - 4457
Anderson localization (AL) of light is investigated numerically in a disordered parity-time (PT)-symmetric potential, in the form of an optical lattice. The... 
OPTICS | NON-HERMITIAN HAMILTONIANS
Journal Article
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