2007
DOI: 10.1063/1.2771159
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Unified view on multiconfigurational time propagation for systems consisting of identical particles

Abstract: We show that the successful and formally exact multiconfigurational time-dependent Hartree method (MCTDH) takes on a unified and compact form when specified for systems of identical particles (MCTDHF for fermions MCTDHB for bosons). In particular the equations of motion for the orbitals depend explicitly and solely on the reduced one- and two-body density matrices of the system's many-particle wave function. We point out that this appealing representation of the equations of motion opens up further possibiliti… Show more

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Cited by 147 publications
(200 citation statements)
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“…Being formulated for bosonic particles the method is known as MCTDHB [32], and for fermions as MCTDHF [33][34][35][36][37]. In the present work which is on a single electron we utilize a particular code implemented for MCTDHF [37] which is based on the general formulation of the problem given in [38] and has been slightly modified here to efficiently propagate single-particle wave packets in the presence of strong pulses. This code has also the potential to attack the problem of propagation of several particles on large spatial grids.…”
Section: Introductionmentioning
confidence: 99%
“…Being formulated for bosonic particles the method is known as MCTDHB [32], and for fermions as MCTDHF [33][34][35][36][37]. In the present work which is on a single electron we utilize a particular code implemented for MCTDHF [37] which is based on the general formulation of the problem given in [38] and has been slightly modified here to efficiently propagate single-particle wave packets in the presence of strong pulses. This code has also the potential to attack the problem of propagation of several particles on large spatial grids.…”
Section: Introductionmentioning
confidence: 99%
“…MCTDH has been applied extensively to study the nuclear dynamics of multidimensional systems. Systems of identical particles can be studied with the help of the MCTDH method but this involves a large amount of redundant coefficients in the multiconfigurational expansion [22]. A variant that is applicable to the case of many-electron systems is known as the multiconfiguration time-dependent Hartree-Fock (MCTDHF) method [23].…”
Section: Introductionmentioning
confidence: 99%
“…The multiconfiguration time-dependent Hartree-Fock (MCTDHF) algorithm [24][25][26][27][28][29][30][31][32] is an adaptive method for calculating nonpertubative electronic dynamics in molecules. In a recently described numerical implementation [33,34] that we use here, all electrons are active, all orbitals are time-dependent, and any number of them may be ionized.…”
Section: Methodsmentioning
confidence: 99%