skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Unphysical divergences in response theory

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4963749· OSTI ID:1464925

Here, transition densities between excited states are key for nonlinear theoretical spectroscopy and multi-state non-adiabatic molecular dynamics (NAMD) simulations. In the framework of response theory, these transition densities are accessible from poles of the quadratic response function. It was shown recently that the thus obtained transition densities within time-dependent Hartree-Fock (TDHF) and adiabatic time-dependent density functional theory (TDDFT) exhibit unphysical divergences when the difference in excitation energy of the two states of interest matches another excitation energy.

Research Organization:
Univ. of California, Irvine, CA (United States). Dept. of Chemistry
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0008694
OSTI ID:
1464925
Alternate ID(s):
OSTI ID: 1328501
Journal Information:
Journal of Chemical Physics, Vol. 145, Issue 13; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 30 works
Citation information provided by
Web of Science

References (63)

First-order nonadiabatic couplings from time-dependent hybrid density functional response theory: Consistent formalism, implementation, and performance journal January 2010
Stationary perturbation theory: I. Survey of basic concepts journal January 1992
Memory in Time-Dependent Density Functional Theory journal June 2002
Coupled cluster response functions journal September 1990
Benchmarking two-photon absorption with CC3 quadratic response theory, and comparison with density-functional response theory journal February 2006
Higher‐order response theory based on the quasienergy derivatives: The derivation of the frequency‐dependent polarizabilities and hyperpolarizabilities journal September 1993
Coupled cluster response functions revisited journal May 1997
Orbital-optimized coupled-cluster theory does not reproduce the full configuration-interaction limit journal February 2005
Perturbation theory of the electron correlation effects for atomic and molecular properties journal July 1981
Adiabatic time-dependent density functional methods for excited state properties journal October 2002
Gauge invariant coupled cluster response theory journal May 1999
Theoretical Studies of Electronically Excited States of Molecular Systems Using Multiconfigurational Perturbation Theory journal February 1999
Analytic derivative couplings in time-dependent density functional theory: Quadratic response theory versus pseudo-wavefunction approach journal February 2015
On the density matrix based approach to time-dependent density functional response theory journal April 2001
The Dalton quantum chemistry program system: The Dalton program
  • Aidas, Kestutis; Angeli, Celestino; Bak, Keld L.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 3 https://doi.org/10.1002/wcms.1172
journal September 2013
Double excitations within time-dependent density functional theory linear response journal April 2004
Time‐Dependent Hellmann‐Feynman Theorems journal September 1965
The short-chain acroleiniminium and pentadieniminium cations: towards a model for retinal photoisomerization. A CASSCF/PT2 study journal April 1999
Linear and nonlinear response functions for an exact state and for an MCSCF state journal April 1985
Assessment of Approximate Coupled-Cluster and Algebraic-Diagrammatic-Construction Methods for Ground- and Excited-State Reaction Paths and the Conical-Intersection Seam of a Retinal-Chromophore Model journal November 2015
CC2 excitation energy calculations on large molecules using the resolution of the identity approximation journal January 2000
Natural Chiroptical Spectroscopy: Theory and Computations book January 1980
Response functions from Fourier component variational perturbation theory applied to a time-averaged quasienergy journal January 1998
Origin of electronic structure and time-dependent state averaging in the multi-configuration time-dependent Hartree–Fock approach to electron dynamics journal September 2008
Perspectives on double-excitations in TDDFT journal November 2011
Multiphoton transition moments and absorption cross sections in coupled cluster response theory employing variational transition moment functionals journal May 1998
Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy journal January 2005
Frequency-dependent first hyperpolarizabilities using coupled cluster quadratic response theory journal May 1997
First order nonadiabatic coupling matrix elements between excited states: Implementation and application at the TD-DFT and pp-TDA levels journal December 2014
Frequency-dependent hyperpolarizabilities in the brueckner coupled-cluster theory journal July 1994
Transition moments and excited-state first-order properties in the coupled-cluster model CC2 using the resolution-of-the-identity approximation journal October 2002
The synchronous-transit method for determining reaction pathways and locating molecular transition states journal July 1977
Characterization of electronic transitions in complex molecules journal January 1950
Derivative Couplings between Time-Dependent Density Functional Theory Excited States in the Random-Phase Approximation Based on Pseudo-Wavefunctions: Behavior around Conical Intersections journal August 2014
Molecular properties from perturbation theory: A Unified treatment of energy derivatives: TREATMENT OF ENERGY DERIVATIVES journal June 1985
On the determination of excitation energies using density functional theory journal January 2000
Forces in Molecules journal August 1939
Dynamic Electron Correlation Effects on the Ground State Potential Energy Surface of a Retinal Chromophore Model journal September 2012
Selection Rules for Concerted Cycloaddition Reactions journal May 1965
Dissociation of N2 triple bond: a reduced multireference CCSD study journal April 1998
Legitimate calculation of first-order molecular properties in the case of limited CI functions. Dipole moments journal July 1981
Computational photochemistry of retinal proteins journal October 2006
First-order properties and the Hellmann-Feynman theorem in the case of a limitedCI wave function journal February 1979
First-order derivative couplings between excited states from adiabatic TDDFT response theory journal February 2015
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
Hydrodynamic perspective on memory in time-dependent density-functional theory journal May 2009
Nonlinear Optics book January 1996
The spin–flip approach within time-dependent density functional theory: Theory and applications to diradicals journal March 2003
Unravelling the details of vitamin D photosynthesis by non-adiabatic molecular dynamics simulations journal January 2011
Can coupled-cluster theory treat conical intersections? journal July 2007
Time-Resolved Spectroscopy in Time-Dependent Density Functional Theory: An Exact Condition journal May 2015
Excited state polarizabilities for CC2 using the resolution-of-the-identity approximation journal December 2015
Quadratic response functions within the time-dependent Hartree-Fock approximation journal July 1982
Circular Dichroism of Helicenes Investigated by Time-Dependent Density Functional Theory journal March 2000
Ab initio non-adiabatic molecular dynamics journal January 2013
Calculating Derivative Couplings between Time-Dependent Hartree–Fock Excited States with Pseudo-Wavefunctions journal August 2014
Ab initio calculation of molecular properties journal December 1989
Stationary Perturbation Theory book January 2019
Nonlinear optics journal October 1965
Stationary Perturbation Theory book January 1961
Nonlinear Optics journal May 1993
Perspectives on double-excitations in TDDFT text January 2011
Time-resolved spectroscopy in time dependent density functional theory: An exact condition text January 2014

Cited By (7)

First-order nonadiabatic couplings in extended systems by time-dependent density functional theory journal December 2018
Nonlinear-response properties in a simplified time-dependent density functional theory (sTD-DFT) framework: Evaluation of excited-state absorption spectra journal March 2019
Excited-state dynamics of molecules with classically driven trajectories and Gaussians journal September 2019
Excited-state dynamics of molecules with classically driven trajectories and Gaussians text January 2019
Excited-state dynamics of molecules with classically driven trajectories and Gaussians text January 2019
Charge-Transfer in Time-Dependent Density Functional Theory text January 2017
Nonadiabatic Molecular Dynamics on Graphics Processing Units: Performance and Application to Rotary Molecular Motors journal October 2019