scholarly journals Semigroup generation properties of Hamiltonian operator matrices

2015 ◽  
Vol 45 (4) ◽  
pp. 373-380
Author(s):  
JunJie HUANG ◽  
Jie LIU ◽  
atancang Al
Keyword(s):  
Hamiltonian Operator ◽  
Operator Matrices ◽  
Semigroup Generation

scholarly journals On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Hua Wang ◽  
Jianrui Chen ◽  
Xiaoyu Zhang
Keyword(s):  
Mixed Boundary ◽  
Separation Of Variables ◽  
Point Group ◽  
Mixed Boundary Conditions ◽  
Hamiltonian Operator ◽  
Plane Elasticity ◽  
Elasticity Problem ◽  
Operator Matrices ◽  
Group 12 ◽  
Plane Elasticity Problem

The symplectic approach, the separation of variables based on Hamiltonian systems, for the plane elasticity problem of quasicrystals with point group 12 mm is developed. By introducing appropriate transformations, the basic equations of the problem are converted to two independent Hamiltonian dual equations, and the associated Hamiltonian operator matrices are obtained. The study of the operator matrices shows the feasibility of the method. Without any assumptions, the general solution is presented for the problem with mixed boundary conditions.

scholarly journals On symplectic self-adjointness of Hamiltonian operator matrices

2014 ◽  
Vol 58 (4) ◽  
pp. 821-828 ◽  
Author(s):  
Alatancang Chen ◽  
GuoHai Jin ◽  
DeYu Wu
Keyword(s):  
Hamiltonian Operator ◽  
Operator Matrices

scholarly journals Eigenvalue problem of Hamiltonian operator matrices

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Hua Wang ◽  
Junjie Huang ◽  
Alatancang Chen
Keyword(s):  
Eigenvalue Problem ◽  
Hamiltonian Operator ◽  
Operator Matrices

scholarly journals On invertible nonnegative Hamiltonian operator matrices

2014 ◽  
Vol 30 (10) ◽  
pp. 1763-1774
Author(s):  
Guo Hai Jin ◽  
Guo Lin Hou ◽  
Alatancang Chen ◽  
De Yu Wu
Keyword(s):  
Hamiltonian Operator ◽  
Operator Matrices

scholarly journals Upper Semi-Weyl and Upper Semi-Browder Spectra of Unbounded Upper Triangular Operator Matrices

2018 ◽  
Vol 2018 ◽  
pp. 1-5
Author(s):  
Wurichaihu Bai ◽  
Qingmei Bai ◽  
Alatancang Chen
Keyword(s):  
Necessary Conditions ◽  
Hamiltonian Operator ◽  
Operator Matrix ◽  
Operator Matrices ◽  
Weyl Spectrum ◽  
Triangular Operator ◽  
Upper Triangular Operator Matrices ◽  
Sufficient And Necessary Conditions ◽  
Upper Triangular Operator Matrix ◽  
Hamiltonian Operator Matrix

In this paper, we study the unbounded upper triangular operator matrix with diagonal domain. Some sufficient and necessary conditions are given under which upper semi-Weyl spectrum (resp. upper semi-Browder spectrum) of such operator matrix is equal to the union of the upper semi-Weyl spectra (resp. the upper semi-Browder spectra) of its diagonal entries. As an application, the corresponding spectral properties of Hamiltonian operator matrix are obtained.

scholarly journals Local Spectral Properties Under Conjugations

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Pietro Aiena ◽  
Fabio Burderi ◽  
Salvatore Triolo
Keyword(s):  
Hilbert Space ◽  
Spectral Properties ◽  
Operator Matrices ◽  
Weyl Type Theorems ◽  
Triangular Operator ◽  
Analytic Core ◽  
Complex Symmetric ◽  
Symmetric Operators ◽  
The Relationship

AbstractIn this paper, we study some local spectral properties of operators having form JTJ, where J is a conjugation on a Hilbert space H and $$T\in L(H)$$ T ∈ L ( H ) . We also study the relationship between the quasi-nilpotent part of the adjoint $$T^*$$ T ∗ and the analytic core K(T) in the case of decomposable complex symmetric operators. In the last part we consider Weyl type theorems for triangular operator matrices for which one of the entries has form JTJ, or has form $$JT^*J$$ J T ∗ J . The theory is exemplified in some concrete cases.

APPLICATION OF ENTANGLED STATE IN QUANTIZING SUPERCONDUCTING CAPACITOR MODEL IN THE PRESENCE OF A VOLTAGE BIAS AND A CURRENT BIAS

2004 ◽  
Vol 18 (02) ◽  
pp. 233-240 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Operator Theory ◽  
Hamiltonian Operator ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
Voltage Bias ◽  
A Current

Based on the entangled state representation and the appropriate bosonic phase operator we develop the superconducting capacitor model in the presence of a voltage bias and a current bias. In so doing, the full Hamiltonian operator theory for a superconducting barrier is established.

scholarly journals On complex symmetric operator matrices

2013 ◽  
Vol 406 (2) ◽  
pp. 373-385 ◽  
Author(s):  
Sungeun Jung ◽  
Eungil Ko ◽  
Ji Eun Lee
Keyword(s):  
Symmetric Operator ◽  
Operator Matrices ◽  
Complex Symmetric Operator ◽  
Complex Symmetric
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