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Resolutions of identity for some non-Hermitian Hamiltonians II: proofs
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated func...
Resolutions of identity for some non-Hermitian Hamiltonians I: exceptional point in continuous spectrum
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem defined on entir...
Edge states and topological phases in non-Hermitian systems
Edge states topological phases non-Hermitian systems Mesoscale and Nanoscale Physics
2011/9/30
Abstract: Topological stability of the edge states is investigated for non-Hermitian systems. We examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in weak non-Hermit...
Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
multiple Charlier polynomials non-Hermitian Hamiltonians algebraic model
2011/7/26
Abstract: A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in terms of mult...
Time-Reversal Symmetry in Non-Hermitian Systems
Time-Reversal Symmetry Non-Hermitian Systems Statistical Mechanics
2011/7/27
Time-Reversal Symmetry in Non-Hermitian Systems.
Effective-mass Klein-Gordon Equation for non-PT/non-Hermitian Generalized Morse Potential
Effective-mass Klein-Gordon Equation non-PT/non-Hermitian Generalized Morse Potential
2010/11/4
The one-dimensional effective-mass Klein-Gordon equation for the real, and non-\textrm{PT}-symmetric/non-Hermitian generalized Morse potential is solved by taking a series expansion for the wave funct...
On the Spectrum of a Discrete Non-Hermitian Quantum System
difference operator non-Hermiticity spectrum eigenvalue eigenvector completely continuous operator
2010/4/13
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple con...