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We show that a Dicke-type pseudo-hermitian Hamiltonian undergoes quantum phase transition by mapping it to the "Dressed Dicke Model" through a similarity transformation. We find the positive-definite ...
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...
A Note on the Trace Inequality for Products of Hermitian Matrix Power.
Let H be a partitioned tridiagonal Hermitian matrix. We characterized the possible inertias of H by a system of linear inequalities involving the orders of the blocks, the inertia of the diagonal bloc...
Some aspects of the complex linear structure theory, extending the real case due to Magnus (1988), are defined and studied. This theory provides complete proofs of conjectures given in literature arou...
A shift splitting concept is introduced and, correspondingly, a shift-splitting iteration scheme and a shift-splitting preconditioner are presented, for solving the large sparse system of linear eq...
Let $D$ be any division ring with an involution, ${\mathscr H}_n(D)$ be the space of all $n\times n$ hermitian matrices over $D$. Two hermitian matrices $A$ and $B$ are said to be adjacent if ${\rm ra...
2001Vol.36No.3pp.263-266DOI: Invariant Hermitian Operator and Density Operator for the Adiabatically Time-Dependent System YAN Feng-Li and YANG Lin-Guang Department of P...
2001Vol.35No.1pp.15-18DOI: Solving Quantum-Nonautonomous System with Non-Hermitian Hamiltonians by Algebraic Method WEI Lian-Fu1,2 and WANG Shun-Jin3,4 1 Department of A...
2005Vol.44No.1pp.31-36DOI: Level Spacing Distributions and Quantum Chaos in Hermitian and non-Hermitian Systems Asiri Nanayakkara and Priyangika Wickramarachchi Institut...
We give an explicit characterization of the most general quasi-Hermitian operator H, the associated metric operators h+, and h+-pseudo-Hermitian operators acting in C2. The latter represent the physic...
We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball ...
We show that the completion of a uniform hermitian p-normed algebra is a commutative C*-algebra.

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