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Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables Complete spectrum matrix elements Mathematical Physics
2012/6/19
The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
Convergent Quantum Normal Forms, ${\mathcal P}{\mathcal T}$-symmetry and reality of the spectrum
Convergent Quantum Normal Forms reality of the spectrum Mathematical Physics
2012/6/19
A class of non-selfadjoint, $\PT$-symmetric operators is identified similar to a self-adjoint one, thus entailing the reality of the spectrum. The similarity transformation is explicitly constructed t...
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...
AC spectrum for a class of random operators at small disorder
AC spectrum random operators small disorder Spectral Theory
2011/9/1
Abstract: In this paper we present a class of Anderson type operators with independent, non-stationary (non-decaying) random potentials supported on a subset of positive density in the odd-dimensional...
Absolutely continuous spectrum of a one-paramentric family of Schrodinger operators
one-paramentric family Schrodinger operators Spectral Theory
2011/7/27
Abstract: We consider a family of operators $-\Delta+ t V$ with a slowly decaying and oscillating potential $V$. We prove that the absolutely continuous spectrum of this operator is essentially suppor...
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...
Fermi Resonances and Vibrational Spectrum of a Polyatomic
Molecule XY4: an Algebraic Approach
vibrational analysis algebraic method
2007/8/15
2005Vol.43No.5pp.891-894DOI:
Fermi Resonances and Vibrational Spectrum of a Polyatomic
Molecule XY4: an Algebraic Approach
WAN Ming-Fang,1 CHEN Jing-Hua,2 and HOU Xi-Wen3
...