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Perspectives of relativistic quantum chemistry: the negative energy cat smiles
Abstract
Given the remarkable advances in relativistic quantum chemistry, some conceptual aspects still remain to be addressed. Among others, the role of negative energy states (NES) in electron correlation and other properties requires most attention. Based on critical assessments of the configuration space (CS), no-photon (and no-time) Fock space (FS) and quantum electrodynamics (QED) approaches, it is concluded that only QED provides the correct prescription for the contributions of NES to correlation, while both CS and FS give rise to wrong results. This essentially means that one should work either with the no-pair approximation (which has an intrinsic error of order (Zα)(3)) or with QED. Whether a consistent relativistic many-electron theory does exist in between remains an open question. Even under the no-pair approximation, there still exists an issue arising from that the no-pair Hamiltonian is incompatible with explicitly correlated methods. It turns out that this can nicely be resolved by introducing the concept of extended no-pair projection. Apart from these take-home messages, other immediate prospects of relativistic quantum chemistry are also highlighted for guiding future developments and applications.
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“We can add that a spinning particle is not perfectly pointlike. In particular, its center of charge and center of mass do not coincide [91-96].”
From Zitterbewegung of massless particles (2022) · cites this paper as [93]
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Thaller, B. (1992) · doi:10.1007/978-3-662-02753-0 · Cited by 1,530
Research works printed but not linked: 57
- Quack, 2008, Annu. Rev. Phys. Chem., 59, 741, 10.1146/annurev.physchem.58.032806.104511 · DOI
- The generic acronym “X2C” (pronounced as “ecstasy”) for exact two-component Hamiltonians resulted from intensive discussions among H. J. A.Jensen, W.Kutzelnigg, W.Liu, T.Saue and L.Visscher during the Twelfth International Conference on the Applications of Density Functional Theory (DFT-2007), Amsterdam, 26–30 August, 2007. Note that the “exact” here means only that all the solutions of the Dirac-based Hamiltonian can be reproduced up to machine accuracy. It is particularly meaningful when compared with finite order quasirelativistic theories
- Liu, 2006, J. Chem. Phys., 125, 044102, 10.1063/1.2222365 · DOI
- Liu, 2006, J. Chem. Phys., 125, 149901, 10.1063/1.2348637 · DOI
- Peng, 2007, J. Chem. Phys., 127, 104106, 10.1063/1.2772856 · DOI
- Stanton, 1984, J. Chem. Phys., 81, 1910, 10.1063/1.447865 · DOI
- Liu, 2010, Mol. Phys., 108, 1679, 10.1080/00268971003781571 · DOI
- Dyall, 1997, J. Chem. Phys., 106, 9618, 10.1063/1.473860 · DOI
- Kutzelnigg, 2005, J. Chem. Phys., 123, 241102, 10.1063/1.2137315 · DOI
- Iliaš, 2007, J. Chem. Phys., 126, 064102, 10.1063/1.2436882 · DOI
- Liu, 2009, J. Chem. Phys., 131, 031104, 10.1063/1.3159445 · DOI
- Sun, 2009, J. Chem. Phys., 131, 081101, 10.1063/1.3216471 · DOI
- Fleig, 2011, Chem. Phys., 10.1016/j.chemphys.2011.06.032 · DOI
- Xiao, 2007, J. Chem. Phys., 126, 081101, 10.1063/1.2565724 · DOI
- Xiao, 2007, J. Chem. Phys., 126, 214101, 10.1063/1.2736702 · DOI
- Cheng, 2009, J. Chem. Phys., 130, 144102, 10.1063/1.3110602 · DOI
- Cheng, 2009, J. Chem. Phys., 131, 244113, 10.1063/1.3283036 · DOI
- Komorovsky, 2008, J. Chem. Phys., 128, 104101, 10.1063/1.2837472 · DOI
- Sapirstein, 1999, Phys. Rev. A: At., Mol., Opt. Phys., 59, 259, 10.1103/PhysRevA.59.259 · DOI
- Thierfelder, 2010, Phys. Rev. A: At., Mol., Opt. Phys., 82, 062503, 10.1103/PhysRevA.82.062503 · DOI
- Hardekopf, 1984, Phys. Rev. A: At., Mol., Opt. Phys., 30, 703, 10.1103/PhysRevA.30.703 · DOI
- Furry, 1951, Phys. Rev., 81, 115, 10.1103/PhysRev.81.115 · DOI
- Mittelman, 1981, Phys. Rev. A: At., Mol., Opt. Phys., 24, 1167, 10.1103/PhysRevA.24.1167 · DOI
- Sun, 2011, Theor. Chem. Acc., 129, 423, 10.1007/s00214-010-0876-6 · DOI
- Shabaev, 2004, Phys. Rev. Lett., 93, 130405, 10.1103/PhysRevLett.93.130405 · DOI
- Brown, 1951, Proc. R. Soc. London, Ser. A, 208, 552, 10.1098/rspa.1951.0181 · DOI
- Júregui, 1997, Phys. Rev. A: At., Mol., Opt. Phys., 55, 1781, 10.1103/PhysRevA.55.1781 · DOI
- Watanabe, 2007, J. Chem. Phys., 126, 174105, 10.1063/1.2733647 · DOI
- Watanabe, 2010, J. Chem. Phys., 132, 124105, 10.1063/1.3359857 · DOI
- Pestka, 2006, J. Phys. B: At., Mol. Opt. Phys., 39, 2979, 10.1088/0953-4075/39/14/006 · DOI
- Pestka, 2007, J. Phys. B: At., Mol. Opt. Phys., 40, 2249, 10.1088/0953-4075/40/12/003 · DOI
- Sucher, 1980, Phys. Rev. A: At., Mol., Opt. Phys., 22, 348, 10.1103/PhysRevA.22.348 · DOI
- Sucher, 1984, Int. J. Quantum Chem., 25, 3, 10.1002/qua.560250103 · DOI
- Dirac, 1931, Proc. R. Soc. London, Ser. A, 133, 60, 10.1098/rspa.1931.0130 · DOI · Paper page
- Anderson, 1932, Phys. Rev., 41, 405, 10.1103/PhysRev.41.405 · DOI
- Chaix, 1989, J. Phys. B: At., Mol. Opt. Phys., 22, 3791, 10.1088/0953-4075/22/23/004 · DOI
- Chaix, 1989, J. Phys. B: At., Mol. Opt. Phys., 22, 3815, 10.1088/0953-4075/22/23/005 · DOI
- T. Saue and L.Visscher, in Theoretical Chemistry and Physics of Heavy and Superheavy Elements, ed. U. Kaldor and S. Wilson, Kluwer Academic, Dordrecht, 2003, p. 211 · DOI
- E. Eliav and U.Kaldor, in Relativistic Methods for Chemists, ed. M. Barysz and Y. Ishikawa, Springer, Dordrecht, 2010, pp. 279–349
- Kutzelnigg, 2011, Chem. Phys., 10.1016/j.chemphys.2011.06.001 · DOI
- Mohr, 1985, Phys. Rev. A: At., Mol., Opt. Phys., 32, 1949, 10.1103/PhysRevA.32.1949 · DOI
- Sucher, 1957, Phys. Rev., 107, 1448, 10.1103/PhysRev.107.1448 · DOI
- Blundell, 1993, Phys. Rev. A: At., Mol., Opt. Phys., 48, 2615, 10.1103/PhysRevA.48.2615 · DOI
- Indelicato, 1993, Phys. Scr., T46, 110, 10.1088/0031-8949/1993/T46/015 · DOI
- Komasa, 2011, J. Chem. Theor. Comput., 7, 3105, 10.1021/ct200438t · DOI
- Ten-no, 2004, J. Chem. Phys., 121, 117, 10.1063/1.1757439 · DOI
- Ten-no, 2004, Chem. Phys. Lett., 398, 56, 10.1016/j.cplett.2004.09.041 · DOI
- Bischoff, 2010, J. Chem. Phys., 132, 214104, 10.1063/1.3417984 · DOI
- Bylicki, 2008, Phys. Rev. A, 77, 04450, 10.1103/PhysRevA.77.044501 · DOI
- Kutzelnigg, 1984, Int. J. Quantum Chem., 25, 107, 10.1002/qua.560250112 · DOI
- Dyall, 1994, J. Chem. Phys., 100, 2118, 10.1063/1.466508 · DOI
- Grant, 2000, Phys. Rev. A: At., Mol., Opt. Phys., 62, 022508, 10.1103/PhysRevA.62.022508 · DOI
- Loos, 2009, Phys. Rev. Lett., 103, 123008, 10.1103/PhysRevLett.103.123008 · DOI
- Kutzelnigg, 2009, J. Chem. Phys., 131, 044129, 10.1063/1.3185400 · DOI
- Xiao, 2011, Theor. Chem. Acc.
- Wick, 1948, Phys. Rev., 73, 51, 10.1103/PhysRev.73.51 · DOI
- Ramsey, 1950, Phys. Rev., 78, 699, 10.1103/PhysRev.78.699 · DOI
Cited by
Sorted by citations
Zitterbewegung of massless particles
Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11
“[79] Wenjian Liu, Perspectives of relativistic quantum chemistry: the negative energy cat smiles, Physical Chemistry Chemical Physics 14, 35 (2012).”
Background
Metadata
- Authors
- Liu, W.
- Affiliations
- Peking University (CN)
- Corresponding author
- Liu, Wenjian
- ORCID
- Liu, Wenjian
- Venue
- Phys. Chem. Chem. Phys.
- Publisher
- Royal Society of Chemistry (RSC)
- Published
- 2012
- Volume
- 14
- Issue
- 1
- Pages
- 35-48
- ISSN
- 1463-9076 (ISSN-L)
- 1463-9084
- OpenAlex
- W2051014680
- Cited by
- 76
- References
- 1
- Citations by year
- 2026: 2 · 2024: 4 · 2023: 3 · 2022: 5 · 2021: 1 · 2020: 3 · 2019: 3 · 2017: 1 · 2016: 11 · 2015: 10 · 2014: 11 · 2013: 14 · 2012: 8
- FWCI
- 5.73
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Chemistry Chemical Physics (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Keywords
- negative energy states, electron correlation, relativistic quantum chemistry, configuration space, Fock space, quantum electrodynamics, explicitly correlated methods, Dirac Hamiltonian
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