It is an honor and a pleasure to speak to you today about the theory of superconductivity. In a short lecture one can no more than touch on the long history of experimental and theoretical work on this subject before 1957. Nor can one hope to give an adequate account of how our understanding of superconductivity has evolved since that time. The theory we presented in 1957, applied to uniform materials in the weak‐coupling limit so defining an ideal superconductor, has been extended in almost every imaginable direction. To these developments so many authors have contributed that we can make no pretense of doing them justice. I will confine myself here to an outline of some of the main features of our 1957 theory, an indication of directions taken since and a discussion of quantum interference effects due to the single‐spin pairing in superconductors which might be considered the microscopic analogue of the effects discussed by Professor Schrieffer.

1.
J.
Bardeen
,
L. N.
Cooper
,
J. R.
Schrieifer
,
Phys. Rev.
108
,
1175
(
1957
).
2.
An account of the situation as of 1969 may be found in the two volumes: Superconductivity, R. D. Parks, ed. Marcel Dekker, New York (1969).
3.
A.
Sommerfeld
,
Z. Physik
47
,
1
(
1928
)
F.
Bloch
,
Z. Physik
52
,
555
(
1928
).
4.
D. D.
Osheroff
,
W. J.
Gully
,
R. C.
Richardson
,
D. M.
Lee
,
Phys. Rev. Lett.
29
,
920
(
1972
);
A. J.
Leggett
,
Phys. Rev. Lett.
29
,
1227
(
1972
).
5.
N. N.
Bogoliubov
,
Nuovo Cimento
7
,
794
(
1958
);
Usp. Fiz. Nauk
67
,
549
(
1959
);
J. G.
Valatin
,
Nuovo Cimento
7
,
843
(
1958
).
6.
J.
Bardeen
,
G.
Rickayzen
,
Phys. Rev.
118
,
936
(
1960
);
D. C.
Mattis
,
E.
Lieb
,
J. Math. Phys.
2
,
602
(
1961
);
N. N.
Bogoliubov
,
D. N.
Zubarev
,
Yu. A.
Tserkovnikov
,
Zh. Eksperim. i Teor. Fiz.
39
,
120
(
1960
),
translated in
N. N.
Bogoliubov
,
D. N.
Zubarev
,
Yu. A.
Tserkovnikov
,
Sov. Phys. JETP
12
,
88
(
1961
).
7.
See, for example,
R. E.
Glover
III
,
M.
Tinkham
,
Phys. Rev.
108
,
243
(
1957
);
M. A.
Biondi
,
M. P.
Garfunkel
,
Phys. Rev.
116
,
853
(
1959
).
8.
The importance of the coupling of timereversed states in constructing electron pairs was emphasized by P. W. Anderson;
see, for example,
P. W.
Anderson
,
J. Phys. Chem. Solids
11
,
26
(
1959
).
9.
(a)
L. C.
Hebel
,
C. P.
Slichter
,
Phys. Rev.
113
,
1504
(
1959
).
(b)
A. G.
Redfield
,
A. G.
Anderson
,
Phys. Rev.
116
,
583
(
1959
).
10.
(a)
H. E.
Bommel
,
Phys. Rev.
96
,
220
(
1954
).
(b)
R. W.
Morse
,
H. V.
Bohm
,
Phys. Rev.
108
,
1094
(
1957
).
11.
M.
Fibich
,
Phys. Rev. Lett.
14
,
561
(
1965
).
12.
See, for example,
T.
Tsuneto
,
Phys. Rev.
121
,
402
(
1961
).
13.
L. P.
Gor'kov
,
Zh. Eksperim. i Teor. Fiz.
34
,
735
(
1958
),
translated in
L. P.
Gor'kov
,
Sov. Phys. JETP
7
,
505
(
1958
);
P. C.
Martin
,
J.
Schwinger
,
Phys. Rev.
115
,
1342
(
1959
);
L. P.
Kadanoff
,
P. C.
Martin
,
Phys. Rev.
124
,
670
(
1961
).
14.
A. A.
Abrikosov
,
L. P.
Gor'kov
,
Zh. Eksperim. i Teor. Fiz.
39
,
1781
(
1960
),
translated in
A. A.
Abrikosov
,
L. P.
Gor'kov
,
Sov. Phys. JETP
12
,
1243
(
1961
);
P. G. de Gennes, Superconductivity of Metals and Alloys, Benjamin, New York (1966).
15.
See for example,
V.
Ambegaokar
,
L. P.
Kadanoff
,
Nuovo Cimento
22
,
914
(
1961
).
16.
See for example,
C.
Caroli
,
J.
Matricon
,
Physik Kondensierten Materie
3
,
380
(
1965
);
K.
Maki
,
Phys. Rev.
141
,
331
(
1966
),
and
156
,
437
(
1967
); ,
Phys. Rev.
Groupe de Supraconductivité d'Orsay,
Physik Kondersierten Materie
5
,
141
(
1966
);
D.
Eppel
,
W.
Pesch
,
L.
Tewordt
,
Z. Physik
197
,
46
(
1966
);
F. P.
McLean
,
A.
Houghton
,
Annals of Physics
48
,
43
(
1968
).
17.
A.
Bohr
,
B. R.
Mottelson
,
D.
Pines
,
Phys. Rev.
110
,
936
(
1958
);
A. B.
Migdal
,
Nuclear Phys.
13
,
655
(
1959
).
18.
V. L.
Ginzburg
,
D. A.
Kirzhnits
,
Zh. Eksperim
,
i Theor. Fiz.
47
,
2006
(
1964
),
translated in
Sov. Phys. JETP
20
,
1346
(
1965
);
D.
Pines
,
G.
Baym
,
C.
Pethick
,
Nature
224
,
673
(
1969
).
19.
Many authors have explored the possibility of a superconducting‐like transition in He3. Among the most recent contributions see reference 4.
20.
See, for example,
Y.
Nambu
,
G.
Jona‐Lasinio
,
Phys. Rev.
122
,
345
(
1961
).
21.
J.
Goldstone
,
Nuovo Cimento
19
,
154
(
1961
);
S.
Weinberg
,
Phys. Rev. Lett.
19
,
1264
(
1967
).
22.
Henri Poincaré, La Science et l'Hypothèse, Flammarion, Paris, (1902), page 168. “The scientist must order; science is made with facts as a house with stones; but an accumulation of facts is no more a science than a heap of stones is a house.”
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