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Related papers: Excited states from range-separated density-functi…

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The work presents a simple formalism which proposes an estimate of the ground state energy from a single reference function. It is based on a perturbative expansion but leads to non linear coupled equations. It can be viewed as well as a…

Strongly Correlated Electrons · Physics 2007-05-23 Mohamad Al Hajj , Jean-Paul Malrieu

We address an old problem in lattice gauge theory - the computation of the spectrum and wave functions of excited states. Our method is based on the Hamiltonian formulation of lattice gauge theory. As strategy, we propose to construct a…

High Energy Physics - Lattice · Physics 2015-05-27 A. Hosseinizadeh , G. Melkonyan , H. Kröger , M. McBreen , N. Scheu

We show that, as in Hartree Fock theory, the orbitals for excited state mean field theory can be optimized via a self-consistent one-electron equation in which electron-electron repulsion is accounted for through mean field operators. In…

Chemical Physics · Physics 2020-12-02 Tarini S. Hardikar , Eric Neuscamman

We present a new first-principles formalism for calculating forces for optically excited electronic states using the interacting Green's function approach with the GW-Bethe Salpeter Equation method. This advance allows for efficient…

Materials Science · Physics 2013-05-29 Sohrab Ismail-Beigi Steven G. Louie

Accounting for Coriolis mixing of experimentally known rotational bands with $K^{\pi}< 3^+$, non-adiabatic effects in energy and electric characteristics of excited states are investigated, within phenomenological model. The energy and wave…

Nuclear Theory · Physics 2015-05-29 P. N. Usmanov , A. A. Okhunov , H. Abu Kassim , U. S. Salikhbaev

We propose an improved scheme of perturbation theory based on our exact solution [An Min Wang, quant-ph/0611216] in general quantum systems independent of time. Our elementary start-point is to introduce the perturbing parameter as late as…

Quantum Physics · Physics 2007-05-23 An Min Wang

Excited-state contamination is one of the dominant uncertainties in lattice calculations of the nucleon axial-charge, $g_A$. Recently published results in leading-order chiral perturbation theory (ChPT) predict the excited-state…

High Energy Physics - Lattice · Physics 2018-03-14 Maxwell T. Hansen , Harvey B. Meyer

It is proven that the exact excited-state wave function and energy may be obtained by minimizing the energy expectation value of trial wave functions that are constrained only to have the correct nodes of the state of interest. This…

Quantum Physics · Physics 2018-08-24 Federico Zahariev , Mark S. Gordon , Mel Levy

It is known that for multi-level time-dependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the adiabatic limit. For a family of two-state systems…

Mathematical Physics · Physics 2009-11-10 Volker Betz , Stefan Teufel

We present a mean field theory for excited states that is broadly analogous to ground state Hartree-Fock theory. Like Hartree-Fock, our approach is deterministic, state-specific, applies a variational principle to a minimally correlated…

Strongly Correlated Electrons · Physics 2018-08-28 Jacqueline A. R. Shea , Eric Neuscamman

The energy levels of the double-well potential receive, beyond perturbation theory, contributions which are non-analytic in the coupling strength; these are related to instanton effects. For example, the separation between the energies of…

Mathematical Physics · Physics 2009-11-07 U. D. Jentschura , J. Zinn-Justin

The first and second order form of gauge theories are classically equivalent; we consider the consequence of quantizing the first order form using the Faddeev-Popov approach. Both the Yang-Mills and the Einstein-Hilbert actions are…

High Energy Physics - Theory · Physics 2017-11-10 F. T. Brandt , D. G. C. McKeon

We calculate the pressure and density of polarized non-relativistic systems of two-component fermions coupled via a contact interaction at finite temperature. For the unpolarized one-dimensional system with an attractive interaction, we…

Quantum Gases · Physics 2018-04-18 A. C. Loheac , J. Braun , J. E. Drut

The recently proposed many-body expanded full configuration interaction (MBE-FCI) method is extended to excited states and static first-order properties different from total, ground state correlation energies. Results are presented for…

Chemical Physics · Physics 2020-10-20 Janus J. Eriksen , Jürgen Gauss

We investigate the charging energy level statistics of disordered interacting electrons in quantum dots by numerical calculations using the Hartree approximation. The aim is to obtain a global picture of the statistics as a function of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chien-Yu Tsau , Diu Nghiem , Robert Joynt , J. Woods Halley

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

Atomic Physics · Physics 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

A new general approach is introduced for definining an optimum zero-order Hamiltonian for Rayleigh-Schr\"odinger perturbation theory. Instead of taking the operator directly from a model problem, it is constructed to be a best fit to the…

Quantum Physics · Physics 2021-12-09 Peter J. Knowles

For a large class of quantum mechanical models of matter and radiation we develop an analytic perturbation theory for non-degenerate ground states. This theory is applicable, for example, to models of matter with static nuclei and…

Mathematical Physics · Physics 2015-05-13 Marcel Griesemer , David Hasler

A formulation of quantum electrodynamics is given that applies to atoms in a strong laser field by perturbation theory in a non-relativistic regime. Dipole approximation is assumed. The dual Dyson series, here discussed by referring it to…

Quantum Physics · Physics 2007-05-23 Marco Frasca

We consider the effect of a local perturbation on the energy levels of a system described by random matrix theory. An analytic expression for the joint distribution function of initial and final energy levels is obtained. In the case of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. L. Aleiner , K. A. Matveev