Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretationCitation formats

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Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation. / Bishop, R. F.; Znojil, M.

In: European Physical Journal Plus, Vol. 135, 374 (35pp), 2020.

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@article{1b27a61379544bce968fe6d109e4ee8e,
title = "Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation",
abstract = "The interaction picture in a non-Hermitian realization is discussed in detail and considered for its practical use in many-body quantum physics. The resulting non-Hermitian interaction-picture (NHIP) description of dynamics, in which both the wave functions and operators belonging to physical observables cease to remain constant in time, is a non-Hermitian generalization of the traditional Dirac picture of standard quantum mechanics, which itself is widely used in quantum field theory calculations. Particular attention is paid here to the variational (or, better, bivariational) and dynamical (i.e., non-stationary) aspects that are characteristic of the coupled cluster method (CCM) techniques that nowadays form one of the most versatile and most accurate of all available formulations of quantum many-body theory. In so doing we expose and exploit multiple parallels between the NHIP and the CCM in its time-dependent versions.",
author = "Bishop, {R. F.} and M. Znojil",
year = "2020",
doi = "10.1140/epjp/s13360-020-00374-z",
language = "English",
volume = "135",
journal = "European Physical Journal Plus",
issn = "2190-5444",
publisher = "EDP Sciences",

}

RIS

TY - JOUR

T1 - Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation

AU - Bishop, R. F.

AU - Znojil, M.

PY - 2020

Y1 - 2020

N2 - The interaction picture in a non-Hermitian realization is discussed in detail and considered for its practical use in many-body quantum physics. The resulting non-Hermitian interaction-picture (NHIP) description of dynamics, in which both the wave functions and operators belonging to physical observables cease to remain constant in time, is a non-Hermitian generalization of the traditional Dirac picture of standard quantum mechanics, which itself is widely used in quantum field theory calculations. Particular attention is paid here to the variational (or, better, bivariational) and dynamical (i.e., non-stationary) aspects that are characteristic of the coupled cluster method (CCM) techniques that nowadays form one of the most versatile and most accurate of all available formulations of quantum many-body theory. In so doing we expose and exploit multiple parallels between the NHIP and the CCM in its time-dependent versions.

AB - The interaction picture in a non-Hermitian realization is discussed in detail and considered for its practical use in many-body quantum physics. The resulting non-Hermitian interaction-picture (NHIP) description of dynamics, in which both the wave functions and operators belonging to physical observables cease to remain constant in time, is a non-Hermitian generalization of the traditional Dirac picture of standard quantum mechanics, which itself is widely used in quantum field theory calculations. Particular attention is paid here to the variational (or, better, bivariational) and dynamical (i.e., non-stationary) aspects that are characteristic of the coupled cluster method (CCM) techniques that nowadays form one of the most versatile and most accurate of all available formulations of quantum many-body theory. In so doing we expose and exploit multiple parallels between the NHIP and the CCM in its time-dependent versions.

U2 - 10.1140/epjp/s13360-020-00374-z

DO - 10.1140/epjp/s13360-020-00374-z

M3 - Article

AN - SCOPUS:85083983130

VL - 135

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

M1 - 374 (35pp)

ER -