Algebraic propagator approaches and intermediate-state representations. II. The equation-of-motion methods forN,N±1, andN±2 electrons

Self-Consistent Green’s Function Approaches

“…We will focus on the case of infinite nucleonic matter and provide an example of a working numerical code. ADC(n) methods are part of a larger class of approaches based on intermediate-state representations (ISRs) to which also the equation-of-motion coupled cluster belongs [11,12]. The other method consists in solving directly the nucleon-nucleon ladder scattering matrix for dressed particles in the medium, which can be done effectively in a finite temperature formalism [13,14].…”

The low-lying excited states of neutral polyacenes and their radical cations: a quantum chemical study employing the algebraic diagrammatic construction scheme of second order

“…For odd orders of perturbation theory, 2m + 1, ADC is slightly more compact with a configuration space size of also m + 1 compared to m + 2 for the CC methods. For a detailed comparison of ADC, CC and CI the reader is referred to [54,59,60].…”

B-spline algebraic diagrammatic construction: Application to photoionization cross-sections and high-order harmonic generation

“…The ADC(n) schemes are size consistent and compact relative to the corresponding truncated CI expansions. 5 In the ADC(1) scheme, the Hamiltonian reduces to the configuration interaction singles (CIS) one, while the transition moment with respect to the ground state are improved and are expressed as…”

“…The ADC(n) schemes of various orders (n) are size consistent and compact relative to the corresponding truncated CI expansions. 5 While initially developed within the many-body Green's function approach, the ADC can be reformulated as wave-function method using the intermediate state representation (ISR). 6,7 This has led to applications of the ADC-ISR technique to calculation of properties of and transition moments between excited, 7 singly ionized, 8 and doubly ionized 9 bound states.…”