A generalized moments expansion
V Fessatidis, JD Mancini, R Murawski, SP Bowen - Physics Letters A, 2006 - Elsevier
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Generalized moments expansion applied to the two-dimensional S= 1 2 Heisenberg model
JD Mancini, RK Murawski, V Fessatidis… - Physical Review B …, 2005 - APS
In this work we derive a generalized moments expansion (GMX), to third order, of which the
well-established connected moments expansion and the alternate moments expansion are …
well-established connected moments expansion and the alternate moments expansion are …
Analytic properties of moments matrices
V Fessatidis, FA Corvino, JD Mancini, RK Murawski… - Physics Letters A, 2010 - Elsevier
Associated with each matrix element of the Generalized Moments Expansion, GMX (n, m)
there is a unique expansion for the ground state energy in terms of the “connected moments” …
there is a unique expansion for the ground state energy in terms of the “connected moments” …
Ground state of a two-level system with phonon coupling
V Fessatidis, JD Mancini, WJ Massano, SP Bowen - Physical Review B, 2000 - APS
The ground state of a two-level system coupled to a dispersionless phonon bath is studied
using both a connected moments expansion and a truncated Lanczos tridiagonal scheme …
using both a connected moments expansion and a truncated Lanczos tridiagonal scheme …
Canonical sequence method applied to the anisotropic Heisenberg lattice
V Fessatidis, JD Mancini, RK Murawski, SP Bowen… - Physics Letters A, 2002 - Elsevier
Recently, Šamaj et al.[J. Phys. A 30 (1997) 1471] have constructed a novel calculational
scheme, the Canonical Sequence Method (CSM) based on the well-known t-expansion of …
scheme, the Canonical Sequence Method (CSM) based on the well-known t-expansion of …
Canonical sequence method applied to a two-dimensional spin system
V Fessatidis, JD Mancini, SP Bowen - Physics Letters A, 2008 - Elsevier
A number of years ago, Horn and Weinstein introduced a novel nonperturbative method, the
t-expansion, for calculating ground-state expectation values for Hamiltonian systems …
t-expansion, for calculating ground-state expectation values for Hamiltonian systems …
Correlation energy of a model problem
V Fessatidis, JD Mancini, SP Bowen, M Campuzano - Physics Letters A, 2007 - Elsevier
A newly derived generalized moments expansion (GMX), based on the “t-expansion” of
Horn and Weinstein, is used to calculate the correlation energy of a model Hamiltonian …
Horn and Weinstein, is used to calculate the correlation energy of a model Hamiltonian …
[引用][C] MOMENTS AND FINITE MATRIX METHODS FOR CALCULATING GROUND-STATE ENERGIES
JD Mancini, V Fessatidis… - Progress in …, 2007 - Nova Science Publishers