A step-by-step Bogoliubov transformation method for diagonalising a kind of non-Hermitian effective Hamiltonian

1988 ◽  
Vol 21 (36) ◽  
pp. L1209-L1211 ◽  
Author(s):  
Nguyen Ba An
2001 ◽  
Vol 16 (27) ◽  
pp. 4499-4510 ◽  
Author(s):  
YI-ZHONG FANG ◽  
XIANG-QIAN LUO

Hamiltonian lattice QCD with Wilson fermions is investigated systematically by strong-coupling expansion up to the second order. The effective Hamiltonian is diagonalized by Bogoliubov transformation. The vacuum energy, chiral condensate, pseudoscalar and vector meson masses are calculated. The comparison with the unitary transformation method by Luo and Chen is also made. The method discussed in this paper has potential application to QCD at finite density.


Author(s):  
Yuhong Liu ◽  
Anthony Dutoi

<div> <div>A shortcoming of presently available fragment-based methods is that electron correlation (if included) is described at the level of individual electrons, resulting in many redundant evaluations of the electronic relaxations associated with any given fluctuation. A generalized variant of coupled-cluster (CC) theory is described, wherein the degrees of freedom are fluctuations of fragments between internally correlated states. The effects of intra-fragment correlation on the inter-fragment interaction is pre-computed and permanently folded into the effective Hamiltonian. This article provides a high-level description of the CC variant, establishing some useful notation, and it demonstrates the advantage of the proposed paradigm numerically on model systems. A companion article shows that the electronic Hamiltonian of real systems may always be cast in the form demanded. This framework opens a promising path to build finely tunable systematically improvable methods to capture precise properties of systems interacting with a large number of other systems. </div> </div>


2017 ◽  
Author(s):  
Yuhong Liu ◽  
Anthony Dutoi

<div> <div>A shortcoming of presently available fragment-based methods is that electron correlation (if included) is described at the level of individual electrons, resulting in many redundant evaluations of the electronic relaxations associated with any given fluctuation. A generalized variant of coupled-cluster (CC) theory is described, wherein the degrees of freedom are fluctuations of fragments between internally correlated states. The effects of intra-fragment correlation on the inter-fragment interaction is pre-computed and permanently folded into the effective Hamiltonian. This article provides a high-level description of the CC variant, establishing some useful notation, and it demonstrates the advantage of the proposed paradigm numerically on model systems. A companion article shows that the electronic Hamiltonian of real systems may always be cast in the form demanded. This framework opens a promising path to build finely tunable systematically improvable methods to capture precise properties of systems interacting with a large number of other systems. </div> </div>


2020 ◽  
Vol 61(12) (2) ◽  
pp. 333-350
Author(s):  
Jaipong Kasemsuwan ◽  
◽  
Sorin Vasile Sabau ◽  
Uraiwan Somboon ◽  
◽  
...  

2010 ◽  
Vol 2 (1) ◽  
pp. 57-69
Author(s):  
Iim Ibrahim Nur

Tax Management must be done throughout the company’s activities. In principle, tax management can be done via good tax compliance and minimizing tax burden. The latter can be achieved by transforming non-deductible expenses into deductible expenses. For example, PT Nyambung Teruuusss Tbk. (PT. NT) must change income Tax Art. 21 paid by the company into tax allowance with gross-up method, pooling company's cars at the office instead of letting these cars brought home by the employees, outbound training for employees instead of family gathering, and other methods including converting fringe benefits into allowance. Another method to minimize tax burden is to change depreciation methods into double-declining method instead of straight-line method. With nondeductible transformation method have saved PT NT Rp 5.26 billion of corporate income tax, while depreciation methods transformation is predicted to save the company Rp 735.66 billion for an eightyear period


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