scholarly journals Equivalence of the effective Hamiltonian approach and the Siegert boundary condition for resonant states

2012 ◽  
Vol 61 (2-3) ◽  
pp. 238-249 ◽  
Author(s):  
N. Hatano
Keyword(s):  
Boundary Condition ◽  
Effective Hamiltonian ◽  
Hamiltonian Approach ◽  
Resonant States

Three-alpha resonant state and its contribution in continuum spectrum

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2351-2358
Author(s):  
C. Kurokawa ◽  
K. Katō
Keyword(s):  
Boundary Condition ◽  
Resonant State ◽  
Level Density ◽  
Complex Scaling ◽  
Scaling Method ◽  
Complex Scaling Method ◽  
Resonant States ◽  
Complex Eigenvalues ◽  
Three Body ◽  
The Continuum

The 3α resonant states of 12 C are investigated by taking into account the correct boundary condition for three-body resonant states. In order to show how the 3α resonant states having complex eigenvalues contribute to the real energy, we calculated the Continuum Level Density in the Complex Scaling Method.

In-plane transition metal dichalcogenide quantum wells: Effective Hamiltonian approach

2021 ◽  
pp. 107112
Author(s):  
A. Aliakbarpour ◽  
M.S. Akhoundi ◽  
S. Shojaei ◽  
R. Hashemi
Keyword(s):  
Transition Metal ◽  
Quantum Wells ◽  
Transition Metal Dichalcogenide ◽  
Effective Hamiltonian ◽  
Hamiltonian Approach

Coherent site-directed transport in complex molecular networks: An effective Hamiltonian approach

2010 ◽  
Vol 132 (11) ◽  
pp. 114116 ◽  
Author(s):  
Shira Weissman ◽  
Uri Peskin
Keyword(s):  
Molecular Networks ◽  
Effective Hamiltonian ◽  
Hamiltonian Approach ◽  
Directed Transport

scholarly journals Computing Effective Hamiltonians of Coupled Electromagnetic Systems

2021 ◽  
Author(s):  
Shaolin Liao ◽  
Lu Ou
Keyword(s):  
Boundary Condition ◽  
Dispersion Relation ◽  
Normal Modes ◽  
Computational Procedure ◽  
Hamiltonian Matrix ◽  
Effective Hamiltonian ◽  
Electromagnetic System ◽  
Wave Dynamics ◽  
Potential Applications ◽  
Free Port

In this paper, we present an efficient procedure to compute the effective Hamiltonian matrix of a coupled electromagnetic system consisting of subsystems that are coupled to a discrete number of channels through couplers. Each subsystem is described by its own effective non-Hermitian Hamiltonian and the corresponding Quasi-normal Modes (QNMs), while the coupler connecting the subsystems and the channels is described by the scattering matrix, which is equivalent to the transfer matrix, in terms of port vectors defined for the coupler. Due to the constraints imposed by the QNMs of the subsystems and the wave dynamics of the channels, as well as boundary condition constraints, constraint-free port vectors need to be chosen efficiently and they follow two rules: 1) port vectors forming loops with couplers; 2) port vectors of couplers with most constraints or with less freedom. With the constraint-free port vectors chosen, the effective Hamiltonian matrix of the coupled electromagnetic system can be obtained by imposing the boundary condition constraints. After the effective Hamiltonian is obtained, the eigenvalues, eigenvectors and dispersion relation of the coupled electromagnetic system, as well as other quantities such as the reflection and transmission, can be calculated. A 2D interstitial square coupled MRRs array is used as an example to demonstrate the computational procedure. The computation of the effective Hamiltonian matrix of a coupled electromagnetic system has many potential applications such as MRRs array, coupled Parity-Time Non-Hermitian electromagnetic system, as well as the dispersion relation of finite and infinite arrays.

A study on the role of the initial conditions and the nonlinear dissipation in the non-Hermitian effective Hamiltonian approach

Optik ◽  
2018 ◽  
Vol 174 ◽  
pp. 114-120 ◽  
Author(s):  
Santiago Echeverri-Arteaga ◽  
Herbert Vinck-Posada ◽  
Edgar A. Gómez
Keyword(s):  
Initial Conditions ◽  
Effective Hamiltonian ◽  
Hamiltonian Approach ◽  
Nonlinear Dissipation

scholarly journals Effective Hamiltonian approach to hyperon beta decay with final-state baryon polarization

1999 ◽  
Vol 60 (11) ◽  
Author(s):  
S. Bright ◽  
R. Winston ◽  
E. C. Swallow ◽  
A. Alavi-Harati
Keyword(s):  
Beta Decay ◽  
Effective Hamiltonian ◽  
Hamiltonian Approach ◽  
Final State ◽  
State Baryon

POSSIBLE COEXISTENCE OF ANTIFERROMAGNETISM AND SUPERCONDUCTIVITY IN THE HUBBARD MODEL

1988 ◽  
Vol 01 (09n10) ◽  
pp. 341-347 ◽  
Author(s):  
SHEN JUE-LIAN ◽  
SU ZHAO-BIN ◽  
DONG JIN-MING ◽  
YU LU
Keyword(s):  
Hubbard Model ◽  
High Temperature Superconductivity ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Antiferromagnetic Order ◽  
Effective Hamiltonian ◽  
Hamiltonian Approach ◽  
Theoretical Approaches ◽  
The Mean

The Hubbard model in the nearly half-filled case was studied in the mean field approximation using the effective Hamiltonian approach. Both antiferromagnetic order parameter and condensation of singlet pairs were considered. In certain parameter range the coexistence of antiferromagnetism and superconductivity is energetically favorable. Relations to the high temperature superconductivity and other theoretical approaches are also discussed.

scholarly journals Effective hamiltonian approach and the lattice fixed node approximation

2003 ◽  
Author(s):  
Sandro Sorella
Keyword(s):  
Effective Hamiltonian ◽  
Hamiltonian Approach ◽  
Fixed Node
Sign in / Sign up

Export Citation Format

Share Document