Symmetry breaking for molecular open systems

Davies, E. B.

Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 35 (1981) no. 2, pp. 149-171

[1] R.F.W. Bader, Y. Tal, S.G. Anderson, and T.T. Nguyen-Dang, Quantum topology, theory of molecular structure and its change. Israel J. Chem., t. 19, 1980, p. 8-29.

[2] E.B. Davies, Symmetry breaking for a non-linear Schrodinger equation. Commun. Math, Phys., t. 64, 1979, p. 191-210. | Zbl | MR

[3] E.B. Davies, Metastable states of molecules. Commun. Math. Phys., t. 75, 1980, p. 263-283. | Zbl | MR

[4] E.B. Davies, One-parameter semigroups. Acad. Press, 1980. | Zbl | MR

[5] E.B. Davies and Ph.A. Martin, Metastable states of some ferromagnetic lattice systems. Preprint, 1980.

[6] R. Delbourgo and J.R. Fox, Maximal weight vectors possess minimal uncertainty. J. Phys., t. A 10, 1977, L, p. 233-235. | MR

[7] H. Essen, The physics of the Born-Oppenheimer approximation. Int. J. Quantum Chem., t. 12, 1977, p. 721-735.

[8] L.M. Falicov and R.A. Harris, Two-electron homopolar molecule: a test for spin-density waves and charge-density waves. J. Chem. Phys., t. 51, 1969, p. 3153-3158.

[9] H. Fikatome, Theory of the unrestricted Hartree-Fock equation and its solutions II. Prog. Theor. Phys., t. 52, 1974, p. 115-130.

[10] L.D. Landau and E.M. Lifshitz, Quantum mechanics, 3rd edition. Pergamon Press, 1977.

[11] L. Lathouwers and P. Van Leuven, Molecular spectra and the generator coordinate method. Int. J. Quantum Chem., t. 12, 1978, p. 371-375.

[12] E.H. Lieb, The classical limit of quantum spin systems. Commun. Math. Phys., t. 31, 1973, p. 327-340. | MR

[13] E.H. Lieb, Existence and uniqueness of the minimising solution of Choquard's non-linear equation. Stud. Appl. Math., t. 57, 1977, p. 93-106. | Zbl | MR

[14] P.O. Löwdin, Discussion on the Hartree-Fock approximation. Rev. Mod. Phys., t. 35, 1963, p. 496-501.

[15] L. Michel, Symmetry defects and broken symmetry configurations. Hidden symmetry. Rev. Mod. Phys., t. 52, 1980, p. 617-651. | MR

[16] N.S. Ostlund, Complex and unrestricted Hartree-Fock wavefunctions. J. Chem. Phys., t. 57, 1972, p. 2994-2997.

[17] A.M. Perelomov, Coherent states for arbitrary Lie groups. Commun. Math. Phys., t. 26, 1972, p. 222-236. | Zbl | MR

[18] A.M. Perelomov, Description of generalised coherent states closest to classical states. Sov. J. Nucl. Phys., t. 29, 1979, p. 867-871. | MR

[19] P. Pfeifer, Chiral molecules, a superselection rule induced by the radiation field. Thesis, E. T. H. Zurich, 1980.

[20] P. Pfeifer, A non-linear Schrodinger equation yielding the shape of molecules by spontaneous symmetry breaking. In Classical, semiclassical and quantum mechanical problems in mathematics, chemistry and physics, ed. by K. Gustafson and W.P. Reinhardt, Plenum Press, 1980.

[21] P. Pfeifer, Private communication.

[22] H. Primas, Foundations of theoretical chemistry, p. 39-114 of Quantum dynamics of molecules, NATO Advanced Studies Institutes Series, Cambridge, 1979, ed. R. G. WOOLEY, Plenum Press, 1980. | MR

[23] M. Reed and B. Simon, Methods of modern mathematical physics, t. 2, Acad. Press, 1975. | Zbl

[24] D.H. Sattinger, Bifurcation and symmetry breaking in applied mathematics. Bull. Amer. Math. Soc., t. 3, 1980, p. 779-819. | Zbl | MR

[25] B. Simon, The classical limit of quantum partition functions. Commun. Math. Phys., t. 71, 1980, p. 247-276. | Zbl | MR

[26] P. Van Leuven and L. Lathouwers, The generator coordinate method in molecular physics, p. 197-220 of NATO Advanced Studies Institute Series, Cambridge, 1979, ed. R. G. WOOLLEY, Plenum Press, 1980.

[27] R.G. Woolley, Quantum theory and molecular structure. Advan. Phys., t. 25, 1976, p. 27-52.

[28] R.G. Woolley, Quantum mechanical aspects of the molecular structure hypothesis. Israel, J. Chem., t. 19, 1980, p. 30-46.

[29] R. [29] R.G. Woolley, Private communication.