Abstract
A method for calculating the second correction to the energy of many-electron systems with a closed shell in an external magnetic field, which is a combination of the method of superposing singly excited configurations and the method of varying the vector potential has been proposed. The method is based on the simultaneous variation of the vector potential and the coefficients determining the contributions of different singly excited configurations to the correction wave function. Such an approach makes it possible to reduce the errors of the method of superposing singly excited configurations associated with the use of a restricted basis in the construction of the correction function and to eliminate the difficulties in the method of varying the vector potential associated with the need to include singular terms in the test gradient-transformation function for the vector potential.
Literature cited
Yu. B. Malykhanov, “Various versions of perturbation theory based on Hartree-Fock functions for many-electron systems,” Zh. Strukt. Khim., 23, No. 5, 134–158 (1982).
M. N. Adamov and N. P. Borisova, “Application of the Hartree-Fock method in calculation of the polarizability of atoms and molecules,” in: Problems in Theoretical Physics [in Russian], Vol. 1, Izd-vo Leningr. Univ. Leningrad (1974), pp. 117–157.
T. K. Rebane, “Magnetic properties of molecules with closed shells,” in: Current Problems in Quantum Chemistry [in Russian], Vol. 1, Nauka, Leningrad (1986), pp. 165–211.
T. K. Rebane, “Calculation of the polarizability of conjugated molecules with consideration of the electrostatic interaction of the electrons,” Opt. Spektrosk., 8, No. 4, 458–464 (1960).
T. K. Rebane, “Variational principle for calculating a correction to the energy of an electron in a molecule which is quadratic with respect to the magnetic field intensity,” Zh. Éksp. Teor. Fiz., 38, No. 3, 963–965 (1960).
T. K. Rebane, “Method of varying the vector potential in calculations of the magnetic properties of molecules,” Vestn. Leningr. Univ., No. 22, 22–36 (1964).
T. K. Rebane, “Variational principles in stationary perturbation theory,” ibid., No. 23, 20–28 (1965).
A. T. Amos and J. I. Musher, “A comment on the application of Hartree-Fock perturbation theory to π-electron systems,” Mol. Phys., 13, No. 6, 509–517 (1967).
T. C. Caves and M. Karplus, “Perturbed Hartree-Fock theory. 1. Diagrammatic double-perturbation analysis,” J. Chem. Phys., 50, No. 9, 3649–3661 (1969).
P. Lazzeretti, B. Cadioli, and U. Pincelli, “Calculations of electric dipole polarizabilities of polyatomic molecules,” Int. J. Quant. Chem., 10, No. 5, 771–780 (1976).
M. M. Mestechkin, “Calculation of some optical characteristics of molecules of the MOLCAO method,” in: Molecular Structure and Quantum Chemistry [in Russian], Naukova Dumka, Kiev (1970), pp. 111–121.
V. F. Brattsev and N. V. Khodyreva, “Polarizability of atoms with filled shells,” Opt. Spektrosk., 57, No. 6, 1092–1094 (1984).
A. V. Luzanov and V. É. Umanskii, “Calculation of perturbation effects and the excited states of open shells in the unrestricted Hartree-Fock method,” Zh. Strukt. Khim., 18, No. 1, 3–9 (1977).
A. V. Luzanov, M. M. Mestechkin, and Yu. B. Vysotskii, “Calculation of spin perturbations in the Hartree-Fock method,” ibid., 12, No. 2, 289–295 (1971).
Author information
Authors and Affiliations
Additional information
Translated from Teoreticheskaya i Éskperimental'naya Khimiya, Vol. 22, No. 3, pp. 337–341, May–June, 1986.
Rights and permissions
About this article
Cite this article
Sharibdzhanov, R.I., Rebane, T.K. Variation of the vector potential in the method of superposing singly excited configurations. Theor Exp Chem 22, 320–325 (1986). https://doi.org/10.1007/BF00521159
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00521159