References analysis of the Wikipedia article "メラー＝プレセット法" in the Japanese version

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Møller, Christian; Plesset, Milton S. (1934). “Note on an Approximation Treatment for Many-Electron Systems”. Phys. Rev. 46 (7): 618–622. Bibcode: 1934PhRv...46..618M. doi:10.1103/PhysRev.46.618. "この文献は数学に複数の軽微であるが、面倒な問題を含んでいる。MP摂動理論のn次への簡潔な導出については、よい量子力学の教科書を参照されたい。"

doi.org

Head-Gordon, Martin; Pople, John A.; Frisch, Michael J. (1988). “MP2 energy evaluation by direct methods”. Chemical Physics Letters 153 (6): 503–506. Bibcode: 1988CPL...153..503H. doi:10.1016/0009-2614(88)85250-3.

Pople, J. A.; Seeger, R.; Krishnan, R. (1977). “Variational configuration interaction methods and comparison with perturbation theory”. International Journal of Quantum Chemistry 12 (S11): 149–163. doi:10.1002/qua.560120820.

Pople, John A.; Binkley, J. Stephen; Seeger, Rolf (1976). “Theoretical models incorporating electron correlation”. International Journal of Quantum Chemistry 10 (S10): 1–19. doi:10.1002/qua.560100802.

Krishnan, Raghavachari; Pople, John A. (1978). “Approximate fourth-order perturbation theory of the electron correlation energy”. International Journal of Quantum Chemistry 14 (1): 91–100. doi:10.1002/qua.560140109.

Raghavachari, Krishnan.; Pople, John A.; Replogle, Eric S.; Head-Gordon, Martin (1990). “Fifth order Moeller-Plesset perturbation theory: comparison of existing correlation methods and implementation of new methods correct to fifth order”. The Journal of Physical Chemistry 94 (14): 5579–5586. doi:10.1021/j100377a033.

Leininger, Matthew L.; Allen, Wesley D.; Schaeferd, Henry F.; Sherrill, C. David (2000). “Is Moller–Plesset perturbation theory a convergent ab initio method?”. J. Chem. Phys. 112 (21): 9213–9222. Bibcode: 2000JChPh.112.9213L. doi:10.1063/1.481764.

Handy, Nicholas C.; Schaefer, Henry F. (1984). “On the evaluation of analytic energy derivatives for correlated wave functions”. The Journal of Chemical Physics 81 (11): 5031. Bibcode: 1984JChPh..81.5031H. doi:10.1063/1.447489.

Wiberg, Kenneth B.; Hadad, Christopher M.; Lepage, Teresa J.; Breneman, Curt M.; Frisch, Michael J. (1992). “Analysis of the effect of electron correlation on charge density distributions”. The Journal of Physical Chemistry 96 (2): 671. doi:10.1021/j100181a030.

Gordon, Mark S.; Schmidt, Michael W.; Chaban, Galina M.; Glaesemann, Kurt R.; Stevens, Walter J.; Gonzalez, Carlos (1999). “A natural orbital diagnostic for multiconfigurational character in correlated wave functions”. J. Chem. Phys. 110 (9): 4199–4207. Bibcode: 1999JChPh.110.4199G. doi:10.1063/1.478301.

Glaesemann, Kurt R.; Schmidt, Michael W. (2010). “On the Ordering of Orbital Energies in High-Spin ROHF”. The Journal of Physical Chemistry A 114 (33): 8772–8777. Bibcode: 2010JPCA..114.8772G. doi:10.1021/jp101758y. PMID 20443582.

Crawford, T. Daniel; Schaefer, Henry F.; Lee, Timothy J. (1996). “On the energy invariance of open-shell perturbation theory with respect to unitary transformations of molecular orbitals”. The Journal of Chemical Physics 105 (3): 1060. Bibcode: 1996JChPh.105.1060C. doi:10.1063/1.471951.

Hubač, Ivan; Čársky, Petr (1980). “Correlation energy of open-shell systems. Application of the many-body Rayleigh-Schrödinger perturbation theory in the restricted Roothaan-Hartree-Fock formalism”. Physical Review A 22 (6): 2392–2399. Bibcode: 1980PhRvA..22.2392H. doi:10.1103/PhysRevA.22.2392.

Amos, Roger D.; Andrews, Jamie S.; Handy, Nicholas C.; Knowles, Peter J. (1991). “Open-shell Møller—Plesset perturbation theory”. Chemical Physics Letters 185 (3–4): 256–264. Bibcode: 1991CPL...185..256A. doi:10.1016/S0009-2614(91)85057-4.

Knowles, Peter J.; Andrews, Jamie S.; Amos, Roger D.; Handy, Nicholas C.; Pople, John A. (1991). “Restricted Møller—Plesset theory for open-shell molecules”. Chemical Physics Letters 186 (2–3): 130–136. Bibcode: 1991CPL...186..130K. doi:10.1016/S0009-2614(91)85118-G.

Lauderdale, Walter J.; Stanton, John F.; Gauss, Jürgen; Watts, John D.; Bartlett, Rodney J. (1991). “Many-body perturbation theory with a restricted open-shell Hartree—Fock reference”. Chemical Physics Letters 187 (1–2): 21–28. Bibcode: 1991CPL...187...21L. doi:10.1016/0009-2614(91)90478-R.

Murray, Christopher; Davidson, Ernest R. (1991). “Perturbation theory for open shell systems”. Chemical Physics Letters 187 (5): 451–454. Bibcode: 1991CPL...187..451M. doi:10.1016/0009-2614(91)80281-2.

Lee, Timothy J.; Jayatilaka, Dylan (1993). “An open-shell restricted Hartree—Fock perturbation theory based on symmetric spin orbitals”. Chemical Physics Letters 201 (1–4): 1–10. Bibcode: 1993CPL...201....1L. doi:10.1016/0009-2614(93)85024-I.

Kozlowski, P. M.; Davidson, Ernest R. (1994). “Construction of open shell perturbation theory invariant with respect to orbital degeneracy”. Chemical Physics Letters 226 (5–6): 440–446. Bibcode: 1994CPL...226..440K. doi:10.1016/0009-2614(94)00763-2.

Murray, Christopher W.; Handy, Nicholas C. (1992). “Comparison and assessment of different forms of open shell perturbation theory”. The Journal of Chemical Physics 97 (9): 6509. Bibcode: 1992JChPh..97.6509M. doi:10.1063/1.463680.

Murray, Christopher; Davidson, Ernest R. (1992). “Different forms of perturbation theory for the calculation of the correlation energy”. International Journal of Quantum Chemistry 43 (6): 755. doi:10.1002/qua.560430604.

Fletcher, Graham D; Gordon, Mark S; Bell, Robert S (2002). “Gradient of the ZAPT2 energy”. Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta) 107 (2): 57. doi:10.1007/s00214-001-0304-z.

Roos, Bjrn O; Andersson, Kerstin; Flscher, Markus P; Malmqvist, Per-ke; Serrano-Andrs, Luis; Pierloot, Kristin; Merchn, Manuela (1996). “Multiconfigurational Perturbation Theory: Applications in Electronic Spectroscopy”. Advances in Chemical Physics. Advances in Chemical Physics. 93. pp. 219. doi:10.1002/9780470141526.ch5. ISBN 978-0-470-14152-6

Nakano, Haruyuki (1993). “Quasidegenerate perturbation theory with multiconfigurational self-consistent-field reference functions”. The Journal of Chemical Physics 99 (10): 7983–7992. Bibcode: 1993JChPh..99.7983N. doi:10.1063/1.465674.

Granovsky, A. A. (2011). “Extended multi-configuration quasi-degenerate perturbation theory: The new approach to multi-state multi-reference perturbation theory”. J. Chem. Phys. 134 (21): 214113. Bibcode: 2011JChPh.134u4113G. doi:10.1063/1.3596699. PMID 21663350.

Glaesemann, Kurt R.; Gordon, Mark S.; Nakano, Haruyuki (1999). “A study of FeCO+ with correlated wavefunctions”. Physical Chemistry Chemical Physics 1 (6): 967–975. Bibcode: 1999PCCP....1..967G. doi:10.1039/a808518h.

Stefan Grimme (2003). “Improved second-order Møller–Plesset perturbation theory by separate scaling of parallel- and antiparallel-spin pair correlation energies”. J. Chem. Phys. 118: 9095–9102. doi:10.1063/1.1569242.

Yousung Jung; Rohini C. Lochan; Anthony D. Dutoi; Martin Head-Gordon (2004). “Scaled opposite-spin second order Møller–Plesset correlation energy: An economical electronic structure method”. J. Chem. Phys. 121: 9793–9802. doi:10.1063/1.1809602.

Martin Feyereisen; George Fitzgerald; Andrew Komornicki (1993). “Use of approximate integrals in ab initio theory. An application in MP2 energy calculations”. Chemical Physics Letters 208: 359–363. doi:10.1016/S0009-2614(98)00862-8.

O. Vahtras; J. Almlöf; M. W. Feyereisen (1993). “Integral approximations for LCAO-SCF calculations”. Chemical Physics Letters 5–6: 514–518. doi:10.1016/0009-2614(93)89151-7.

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メラー＝プレセット法 (Japanese Wikipedia)