hermitian matrix
Non Hermitian Matrix Quasi Exactly Solvable Hamiltonian
... A new example of PT -symmetric quasi-exactly solvable (QES) 2 2 × -matrix Hamiltonian which is associated to a trigonometric Razhavi potential is con- sidered. Like the QES analytic method considered in the Ref. ...
11
Abstract -- In this paper operation properties of adjoint matrices of a kind of complex block matrices specially Hemitian matrices has been discussed. Index Term-- Adjoint Matrix, Block Matrix. Hermitian Matrix.
... of Hermitian block ...the matrix constructed by the co-factors to determine the adjoint of ...use Hermitian conjugate of the adjoint matrix of A then only 2 steps are needed to find the ...
8
Pseudo Hermitian Matrix Exactly Solvable Hamiltonian
... In Section 2, we briefly describe the general model which is expressed in terms of the creation and the annihilation operators. We show that the Ham- iltonian describing the model is pseudo-hermitian if φ = − 1 , ...
9
Modular matrix models
... of Hermitian matrix ...complex) matrix models on ...a Hermitian matrix model; that the inverse of the j-function could be, and is consistently constructable as one, is a pleasant ...
31
Accelerated normal and skew-Hermitian splitting methods for positive definite linear systems
... normal matrix and S ∈ C n×n is a skew-Hermitian matrix, and obtained the following normal/skew-Hermitian splitting (NSS) method to iteratively compute a reliable and accurate approximate ...
14
A splitting method for shifted skew Hermitian linear system
... It is shown in Table and Table that: (i) the number of iterations, starting from a zero initial guess, becomes increasing as α decreases; (ii) the α-SSS converges for seven diagonal skew-Hermitian ...
11
On Some Matrix Trace Inequalities
... Feng, “A note on the trace inequality for products of Hermitian matrix power,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Thirring, Studies in Mathematical Physics, E[r] ...
8
Least Squares Hermitian Problem of Matrix Equation (AXB, CXD) = (E, F) Associated with Indeterminate Admittance Matrices
... the matrix equations associated with the constrained matrix (such as Hermitian matrix, anti-Hermitian matrix, bi- symmetric matrix, reflexive matrix) sets have been ...
16
On some trace inequalities for positive definite Hermitian matrices
... a Hermitian matrix (or self-adjoint matrix) is a square matrix with com- plex entries that is equal to its own conjugate ...the matrix A is Hermitian if and only if A = A T , ...
6
Maximum Principles for Normal Matrices
... As in the former cases it is easy to verify that when using the trace norm on a positive semidefinite hermitian matrix the last assertion is reduced to Ky Fan maximum principle.. It shou[r] ...
9
Notes on Greub Rheinboldt inequalities
... In this paper, we introduce some new bounds for several Kantorovich-type inequalities for commutative positive definite Hermitian matrix pairs. As a particular situation, in Corol- lary ., when A and B are ...
8
Hermitian vs PT Symmetric Scalar Yukawa Model
... usual Hermitian version (real g), which is asymptotically free and energetically unstable, the non-Hermitian PT-symmetric theory (imaginary g) is energet- ically stable and not asymptotically ...
9
HERMITIAN MANIFOLD GEOMETRY AND ITS EFFECTIVE IMPORTANCE: A STUDY
... on Hermitian manifolds, the second Ricci curvature tensors of different metric associations are firmly identified with the geometry of Hermitian ...unique Hermitian manifolds. A fascinating class of ...
8
Hermitian Randić matrix and Hermitian Randić energy of mixed graphs
... the Hermitian-Randić matrix of a mixed graph M and study some basic characteristics of the Hermitian-Randić matrix of mixed ...the Hermitian-Randić matrix of a mixed graph ...the ...
14
ALMOST HYPERCOMPLEX MANIFOLDS WITH HERMITIAN-NORDEN METRICS AND 4-DIMENSIONAL INDECOMPOSABLE REAL LIE ALGEBRAS DEPENDING ON ONE PARAMETER
... [7] K. Gribachev, M. Manev, S. Dimiev , On the almost hypercomplex pseudo-Hermitian man- ifolds. In: Trends in Complex Analysis, Differential Geometry and Mathematical Physics, eds. S. Dimiev and K. Sekigawa ...
10
Non-Hermitian Hamiltonians of Lie algebraic type
... Considering Hamiltonians of su(1, 1)-Lie algebraic type instead circumvents these is- sues and we were able to construct systematically exact solutions for metric operators, which are of exponential form with arguments ...
28
Milne quantization for non-Hermitian systems
... We demonstrated that the Milne quantization procedure can be successfully adopted to non-Hermitian systems that are either quasi/pseudo-Hermitian or PT -symmetric. For each scenario we provided an explicit ...
12
Exact analytical solutions for time-dependent Hermitian Hamiltonian systems from static unobservable non-Hermitian Hamiltonians
... time-dependent Hermitian Hamiltonian (1) can be replaced with a two step pro- cedure consisting of first solving the TDSE for a time- independent non-Hermitian Hamiltonian (1) and second solving the ...
6
Time evolution of non-Hermitian Hamiltonian systems
... pseudo- Hermitian Hamiltonians, which not only constitute a wider class of systems, but in addition do not suffer from the shortcoming that the spectrum might not be positive and real after ...the Hermitian ...
26
On structure and decoding of Hermitian codes
... Given a linear code, it is important both to identify fast decoding algorithms and to estimate the rst terms of its weight distribution. Ecient decoding algorithms allow the exploitation of the code in practical ...
187