References
V. A. Geiler and V. A. Margulis,Teoret. Mat. Fiz. [Theoret. and Math. Phys.],58, No. 3, 461–472 (1984).
V. A. Geiler and V. A. Margulis,Teoret. Mat. Fiz. [Theoret. and Math. Phys.],61, No. 1, 140–149 (1984).
V. A. Geiler and V. A. Margulis,Teoret. Mat. Fiz. [Theoret. and Math. Phys.],70, No. 2, 461–472 (1987).
V. A. Geiler and V. A. Margulis,Teoret. Mat. Fiz. [Theoret. and Math. Phys.],95, No. 3, 1134–1145 (1989).
V. A. Geiler,Algebra i Analiz [in Russian],3, No. 3, 1–48 (1991).
R. E. Prange and S. M. Girvin (editors),The Quantum Hall Effect, Springer, New York (1987).
B. S. Pavlov,Uspekhi Mat. Nauk [Russian Math. Surveys],42, No. 6, 99–131 (1987).
S. Albeverio, F. Gesztesi, H. Holden, and R. Høegh-Krohn,Solvable Models in Quantum Mechanics, Springer, New York (1988).
T. Ando,J. Phys. Soc. Japan,52, No. 5, 1740–1749 (1983).
A. M. Perelomov,Generalized Coherent States and Their Applications [in Russian], Nauka, Moscow (1987).
M. Ya. Azbel,Phys. Rev. B,49, No. 8, 5463–5475, (1994).
Y. Avishai, R. M. Redheffer, and Y. B. Band,Phys. Rev. A,125, No. 13, 3883–3889 (1992).
Y. Avishai and R. M. Redheffer,Phys. Rev. B,147, No. 4, 2089–2100 (1993).
Y. Avishai Y., M. Ya. Azbel, and S. A. Gredeskul,Phys. Rev. B,148, No. 23, 17280–17295 (1993).
S. P. Novikov, in:Contemporary Problems in Mathematics. Fundamental Directions [in Russian], Vol. 23, Itogi Nauki i Tekhniki, VINITI, Moscow (1983), pp. 3–23.
J. E. Avron, I. W. Herbst, and B. Simon.Ann. Phys.,114, No. 1–2, 431–452 (1978).
A. Jannussis and E. Skuras,Lett. Nuovo Cimento,44, No. 2, 91–98 (1985).
B. Simon,Bull. Amer. Math. Soc.,7, No. 3, 447–526 (1982).
J. Avron and B. Simon,J. Phys. Rev. A,18, No. 12, 2199–2205 (1985).
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Translated fromMatematicheskie Zametki, Vol. 60, No. 5, pp. 768–773, November, 1996.
This research was partially supported by the Russian Foundation for Basic Research.
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Geiler, V.A., Margulis, V.A. Point perturbation-invariant solutions of the Schrödinger equation with a magnetic field. Math Notes 60, 575–580 (1996). https://doi.org/10.1007/BF02309173
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DOI: https://doi.org/10.1007/BF02309173