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Footnotes
W. Pauli, jr.:Zeits. f. Phys.,41, 81 (1927).
F. Bloch:Zeits. f. Phys.,53, 216 (1929).
F. Seitz:The Modern Theory of Solids, p. 359 ff.
D. Pines:Phys. Rev.,95, 1090 (1954).
R. T. Schumacher andC. P. Slichter:Phys. Rev.,101, 58 (1957);R. T. Schumacher, T. R. Carver andC. P. Slichter:Phys. Rev.,95, 1089 (1954).
H. A. Kramers:Atti Congr. Fis., Como, p. 545 (1927);R. de L. Kronig:Journ. Opt. Soc. Amer.,12, 547 (1926).
H. Brooks: unpublished calculations.
J. B. Sampson andF. Seitz:Phys. Rev.,56, 633 (1940).
J. H. van Leeuwen:Dissertation, Leiden (1919);Journ. de Phys.,2, 361 (1921); alsoN. Bohr:Dissertation, Copenhagen (1911); summary byJ. H. Van Vleck inThe Theory of Electric and Magnetic Susceptibilities, Sections 24–26.
The correct expression for the diamagnetism of free electrons in quantum mechanics in weak fields was first obtained byLandau:Zeits. f. Phys.,64, 629 (1930); other subsequent treatments of this problem includeE. Teller:Zeits. f. Phys.,67, 311 (1931);J. H. Van Vleck:The Theory of Electric and Magnetic Susceptibilities, Section 81;C. G. Darwin:Proc. Cambr. Phil. Soc.,27, 86 (1930);E. H. Sondheimer andA. H. Wilson:Proc. Roy. Soc., A210, 173 (1951);E. W. Elcock:Proc. Roy. Soc., A222, 239 (1954);R. B. Dingle:Proc. Roy. Soc.,211, 500, 517 (1952);F. S. Ham:Phys. Rev.,92, 1113 (1953);M. C. Steele:Phys. Rev.,88, 451 (1952);M. F. M. Osborne:Phys. Rev.,88, 438 (1952);M. Blackman:Proc. Roy. Soc., A166, 1 (1938). Our method of developing the theory in the present lectures, though obtained independently, shows considerable resemblance to that ofR. Peierls:Zeits. f. Phys.,80, 763 (1933). Both Peierl’s treatment and the present one develop the partition function as an ascending series inh, and avoid the necessity of summing the various quantum states explicitly.
W. Pugh andJ. E. Goldman:Phys. Rev.,99, 1641 (1955).
R. Bowers:Phys. Rev.,100, 1141 (1955)
J. H. Van Vleck:The Theory of Electric and Magnetic Susceptibilities, p. 359.
D. Pines: p. 38 of theReport of the Solway Congress for 1954, «Les Electronsdans les Métaux ».
For a very recent, refined theory of the diamagnetism of electrons in metals, which includes corrections for binding, etc., seeT. Kjeldaas jr., andW. Kohn:Phys. Rev.,105, 806 (1957) and references there to earlier work. The susceptibilities which they calculate for Li and Na are respectively − 0.07 and − 0.26. For a generalization of the standard theory, see alsoP. G. Harper:Proc. Phys. Soc., A68, 879 (1955).
The theory for the de Haas-van Alphen effect was first developed qualitatively byR. Peierls:Zeits. f. Phys.,81, 186 (1933) and first put in quantitative form byLandau (see appendix toShoenberg’s paper inProc. Roy. Soc., A170, 341 (1939)). For detailed exposition of the theory, seeR. Peierls:The Magnetic Properties of Metals, p. 144 orH. A. Wilson:The Theory of Metals, p. 160.
D. Shoenberg:Phil. Trans. Roy. Soc.,245, 1 (1952).
L. Onsager:Phil. Mag.,45, 100 (1952);A. B. Pippard:Solvay Congress Report, 1954, «Les Electrons dans les Métaux », p. 132.
V. Heine:Proc. Phys. Soc. London, A69, 505 (1956);I. M. Lifshitz andA. M. Kosewitch:Dokl. Akad. Nauk SSSR,96, 963 (1954).
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Van Vleck, J.H. Magnetic properties of metals. Nuovo Cim 6 (Suppl 3), 857–886 (1957). https://doi.org/10.1007/BF02834701
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DOI: https://doi.org/10.1007/BF02834701