-
1
-
-
21144466954
-
Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
-
A. Arai, "Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations," J. Math. Phys. 33, 3374-3378 (1992).
-
(1992)
J. Math. Phys.
, vol.33
, pp. 3374-3378
-
-
Arai, A.1
-
2
-
-
21144483830
-
Properties of the Dirac-Weyl operator with a strongly singular gauge potential
-
A. Arai, "Properties of the Dirac-Weyl operator with a strongly singular gauge potential," J. Math. Phys. 34, 915-935 (1993).
-
(1993)
J. Math. Phys.
, vol.34
, pp. 915-935
-
-
Arai, A.1
-
3
-
-
21844525608
-
Gauge theory on a nonsimply connected domain and representations of canonical commutation relations
-
A. Arai, "Gauge theory on a nonsimply connected domain and representations of canonical commutation relations," J. Math. Phys. 36, 2569-2580 (1995).
-
(1995)
J. Math. Phys.
, vol.36
, pp. 2569-2580
-
-
Arai, A.1
-
4
-
-
0039635589
-
Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator
-
A. Arai, "Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator," J. Nonlinear Math. Phys. 2, 247-262 (1995).
-
(1995)
J. Nonlinear Math. Phys.
, vol.2
, pp. 247-262
-
-
Arai, A.1
-
6
-
-
33748067017
-
Significance of electromagnetic potentials in the quantum theory
-
Y. Aharonov and D. Bohm, "Significance of electromagnetic potentials in the quantum theory," Phys. Rev. 115, 485-491 (1959).
-
(1959)
Phys. Rev.
, vol.115
, pp. 485-491
-
-
Aharonov, Y.1
Bohm, D.2
-
7
-
-
36149027030
-
Bloch electrons in a uniform electromagnetic field
-
E. Brown, "Bloch electrons in a uniform electromagnetic field," Phys. Rev. 133, A1038-A1044 (1964).
-
(1964)
Phys. Rev.
, vol.133
-
-
Brown, E.1
-
8
-
-
36149008019
-
Magnetic translation group
-
J. Zak, "Magnetic translation group," Phys. Rev. 134, A1602-A1606 (1964).
-
(1964)
Phys. Rev.
, vol.134
-
-
Zak, J.1
-
9
-
-
0002471175
-
Magnetic translation groups as group extensions
-
W. Florek, "Magnetic translation groups as group extensions," Rep. Math. Phys. 34, 81-95 (1994).
-
(1994)
Rep. Math. Phys.
, vol.34
, pp. 81-95
-
-
Florek, W.1
-
10
-
-
0030268742
-
Magnetic translation groups in n dimensions
-
W. Florek, "Magnetic translation groups in n dimensions," Rep. Math. Phys. 38, 235-250 (1996).
-
(1996)
Rep. Math. Phys.
, vol.38
, pp. 235-250
-
-
Florek, W.1
-
11
-
-
0001032458
-
Energy levels and wave function of Bloch electrons in rational and irrational magnetic fields
-
D. R. Hofstadter, "Energy levels and wave function of Bloch electrons in rational and irrational magnetic fields," Phys. Rev. B 14, 2239-2249 (1976).
-
(1976)
Phys. Rev. B
, vol.14
, pp. 2239-2249
-
-
Hofstadter, D.R.1
-
12
-
-
0345531418
-
Quantum groups and magnetic translations. Bethe ansatz for Asbel-Hofstadter problem
-
P. B. Wiegmann and A. V. Zabrodin, "Quantum groups and magnetic translations. Bethe ansatz for Asbel-Hofstadter problem," Nucl. Phys. B 422, 495-514 (1994).
-
(1994)
Nucl. Phys. B
, vol.422
, pp. 495-514
-
-
Wiegmann, P.B.1
Zabrodin, A.V.2
-
13
-
-
0030491042
-
Models of the Hofstadter-type
-
Ch. Kreft and R. Seiler, "Models of the Hofstadter-type," J. Math. Phys. 37, 5207-5243 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 5207-5243
-
-
Kreft, Ch.1
Seiler, R.2
-
14
-
-
0347526508
-
Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and the external field problem in quantum field theory
-
A. Arai and N. Tominaga, "Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and the external field problem in quantum field theory," Hokkaido Math. J. 25, 259-313 (1996).
-
(1996)
Hokkaido Math. J.
, vol.25
, pp. 259-313
-
-
Arai, A.1
Tominaga, N.2
-
15
-
-
0010121915
-
Product Integration
-
Analysis Addison-Wesley, Reading, MA
-
J. D. Dollard and C. N. Friedman, Product Integration, Encyclopedia of Mathematics and Its Applications, Vol. 10, Analysis (Addison-Wesley, Reading, MA, 1979).
-
(1979)
Encyclopedia of Mathematics and Its Applications
, vol.10
-
-
Dollard, J.D.1
Friedman, C.N.2
-
16
-
-
0003964232
-
-
Cambridge University Press, Cambridge
-
M. Göckeler and T. Schücker, Differential Geometry, Gauge Theories, and Gravity (Cambridge University Press, Cambridge, 1987).
-
(1987)
Differential Geometry, Gauge Theories, and Gravity
-
-
Göckeler, M.1
Schücker, T.2
-
18
-
-
0000560345
-
Die Eindeutigkeit der Schrödingerschen Operatoren
-
J. von Neumann, "Die Eindeutigkeit der Schrödingerschen Operatoren," Math. Ann. 104, 570-578 (1931).
-
(1931)
Math. Ann.
, vol.104
, pp. 570-578
-
-
Von Neumann, J.1
-
20
-
-
0003534256
-
-
American Mathematical Society, Providence
-
K. R. Davidson, C*-Algebra by Example (American Mathematical Society, Providence, 1996).
-
(1996)
C*-Algebra by Example
-
-
Davidson, K.R.1
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