@article{AIHPA_1981__35_2_149_0, author = {Davies, E. B.}, title = {Symmetry breaking for molecular open systems}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {149--171}, publisher = {Gauthier-Villars}, volume = {35}, number = {2}, year = {1981}, mrnumber = {637240}, zbl = {0493.49040}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1981__35_2_149_0/} }
TY - JOUR AU - Davies, E. B. TI - Symmetry breaking for molecular open systems JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1981 SP - 149 EP - 171 VL - 35 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1981__35_2_149_0/ LA - en ID - AIHPA_1981__35_2_149_0 ER -
Davies, E. B. Symmetry breaking for molecular open systems. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 35 (1981) no. 2, pp. 149-171. http://archive.numdam.org/item/AIHPA_1981__35_2_149_0/
[1] Quantum topology, theory of molecular structure and its change. Israel J. Chem., t. 19, 1980, p. 8-29.
, , , and ,[2] Symmetry breaking for a non-linear Schrodinger equation. Commun. Math, Phys., t. 64, 1979, p. 191-210. | MR | Zbl
,[3] Metastable states of molecules. Commun. Math. Phys., t. 75, 1980, p. 263-283. | MR | Zbl
,[4] One-parameter semigroups. Acad. Press, 1980. | MR | Zbl
,[5] Metastable states of some ferromagnetic lattice systems. Preprint, 1980.
and ,[6] Maximal weight vectors possess minimal uncertainty. J. Phys., t. A 10, 1977, L, p. 233-235. | MR
and ,[7] The physics of the Born-Oppenheimer approximation. Int. J. Quantum Chem., t. 12, 1977, p. 721-735.
,[8] Two-electron homopolar molecule: a test for spin-density waves and charge-density waves. J. Chem. Phys., t. 51, 1969, p. 3153-3158.
and ,[9] Theory of the unrestricted Hartree-Fock equation and its solutions II. Prog. Theor. Phys., t. 52, 1974, p. 115-130.
,[10] Quantum mechanics, 3rd edition. Pergamon Press, 1977.
and ,[11] Molecular spectra and the generator coordinate method. Int. J. Quantum Chem., t. 12, 1978, p. 371-375.
and ,[12] The classical limit of quantum spin systems. Commun. Math. Phys., t. 31, 1973, p. 327-340. | MR
,[13] Existence and uniqueness of the minimising solution of Choquard's non-linear equation. Stud. Appl. Math., t. 57, 1977, p. 93-106. | MR | Zbl
,[14] Discussion on the Hartree-Fock approximation. Rev. Mod. Phys., t. 35, 1963, p. 496-501.
,[15] Symmetry defects and broken symmetry configurations. Hidden symmetry. Rev. Mod. Phys., t. 52, 1980, p. 617-651. | MR
,[16] Complex and unrestricted Hartree-Fock wavefunctions. J. Chem. Phys., t. 57, 1972, p. 2994-2997.
,[17] Coherent states for arbitrary Lie groups. Commun. Math. Phys., t. 26, 1972, p. 222-236. | MR | Zbl
,[18] Description of generalised coherent states closest to classical states. Sov. J. Nucl. Phys., t. 29, 1979, p. 867-871. | MR
,[19] Chiral molecules, a superselection rule induced by the radiation field. Thesis, E. T. H. Zurich, 1980.
,[20] 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 and , Plenum Press, 1980.
,[21] Private communication.
,[22] 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] Methods of modern mathematical physics, t. 2, Acad. Press, 1975. | Zbl
and ,[24] Bifurcation and symmetry breaking in applied mathematics. Bull. Amer. Math. Soc., t. 3, 1980, p. 779-819. | MR | Zbl
,[25] The classical limit of quantum partition functions. Commun. Math. Phys., t. 71, 1980, p. 247-276. | MR | Zbl
,[26] 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.
and ,[27] Quantum theory and molecular structure. Advan. Phys., t. 25, 1976, p. 27-52.
,[28] Quantum mechanical aspects of the molecular structure hypothesis. Israel, J. Chem., t. 19, 1980, p. 30-46.
,[29] R. [29] Private communication.
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