Abstract
It seems good to start these lecture notes with the cautioning remark that, in a sense, their contents do not really fit into the topic “Rigorous Atomic and Molecular Physics”, although the results we shall discuss are certainly rigorous and do concern atoms, ions and molecules to some extent. Traditionally, the underlying theoretical framework for atomic and molecular physics is thought to be quantum mechanics, and the number of degrees of freedom of the atomic and molecular systems which are considered is finite, at least if the radiation field is neglected which is what workers in that field do almost always.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. Pauli and M. Fierz, Nuovo Cimento 15, 167, (1938); J.M. Jauch and F. Rohrlich, “Theory of Photons and Electrons”, Cambridge, Mass.: Addison-Wesley 1955. See also W. Hunziker, in “Mathematical Problems in Theoretical Physics”, K. Osterwalder (ed.), Lecture Notes in Physics 116, Berlin-Heidelberg-New-York: Springer-Verlag 1980; ref. 7 below.
E.H. Lieb, Rev. Mod. Phys. 48, 553, (1976).
J. Fröhlich and T. Spencer, J. Stat. Phys., in press.
J. Fröhlich, Commun. math. Phys. 47, 233, (1976).
D. Ruelle, “Statistical Mechanics”, New York: Benjamin 1969.
J. Fröhlich and Y.M. Park, Commun. math. Phys. 59, 235, (1978).
J. Fröhlich and Y.M. Park, J. Stat. Phys., in press.
E.H. Lieb and J. Lebowitz, Adv. Math. 9, 316, 1972.
R.B. Griffiths, Phys. Rev. 176, 655, (1968).
D. Brydges, Commun. math. Phys. 58, 313, (1978).
D. Brydges and P. Federbush, Commun. math. Phys. 73, 197, (1980).
Y.M. Park, J. Math. Phys. 18, 12, (1977).
A.J.F. Siegert, Physica 26, 30, (1960).
J. Fröhlich, R. Israel, E.H. Lieb and B. Simon, J. Stat. Phys. 22, 297, (1980).
J. Fröhlich and T. Spencer, “The Kosterlitz-Thouless Transition in the Two-Dimensional Coulomb Gas”, subm. to Phys. Rev. Letts.; detailed paper to appear.
J. Glimm, A. Jaffe and T. Spencer, Commun. math. Phys. 45, 203, (1975).
Ch. Gruber and Ph. A. Martin, in: “Mathematical Problems in Theoretical Physics”, loc. cit. (ref.1), and references given there.
R.L. Dobrushin, Theory Prob. Appl. 17, 582, (1972). H. van Beijeren, Commun. math. Phys. 40, 1, (1975).
V.L. Berezinskii, Soviet Phys. JETP 32, 493, (1971); J.M. Kosterlitz and D.J. Thouless, J. Physics C6, 1181, (1973); J.V. Jose, L.P. Kadanoff, S. Kirkpatrick and D.R. Nelson, Phys. Rev. B16, 1217, (1977).
O. McBryan and T. Spencer, Commun, math. Phys. 53, 99, (1977).
J. Bricmont, J.-R. Fontaine, J. Lebowitz, E.H. Lieb and T. Spencer, Preprint, Rutgers University, 1980, Commun, math. Phys., to appear.
D. Brydges, J. Fröhlich and E. Seiler, Nucl. Phys. B152, 521, (1979).
A. Guth, Phys. Rev. D21, 2291, (1980). See also J. Glimm and A. Jaffe, Commun. math. Phys. 56, 195, (1977).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Plenum Press, New York
About this chapter
Cite this chapter
Fröhlich, J., Spencer, T. (1981). Phase Diagrams and Critical Properties of (Classical) Coulomb Systems. In: Velo, G., Wightman, A.S. (eds) Rigorous Atomic and Molecular Physics. NATO Advanced Study Institutes Series, vol 74. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3350-0_8
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3350-0_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3352-4
Online ISBN: 978-1-4613-3350-0
eBook Packages: Springer Book Archive