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Geometric Realizability of Covariant Derivative Kähler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds
Geometric Realizability Covariant Derivative Kä hler Tensors Pseudo-Hermitian
2011/2/25
The covariant derivative of the K¨ahler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that any 3-tensor which s...
Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation
Solvable Pseudo-hermitian Many-particle Quantum Systems Isospectral Deformation
2011/3/2
A class of non-Dirac-hermitian many-particle quantum systems admit-ting entirely real spectra and unitary time-evolution is presented. These quantum models are isospectral with Dirac-hermitian systems...
Some comments on projective quadrics subordinate to pseudo--Hermitian spaces
Some comments projective quadrics subordinate pseudo--Hermitian spaces
2011/1/17
We study in some detail the structure of the projective quadric Q′obtained by taking the quotient of the isotropic cone in a standard pseudohermitian space Hp,q with respect to the positive real numbe...
Quantum Phase Transition in a Pseudo-hermitian Dicke model
Quantum Phase Transition Pseudo-hermitian Dicke model
2010/4/8
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 ...
Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
Pseudo-Hermitian quasi-Hermitian metric operator observable two-level system
2010/4/9
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...