On Bloch Solutions of Difference Schrödinger Equations

Author:

Borisov D. I.,Fedotov A. A.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Analysis

Reference9 articles.

1. M. Wilkinson, “An exact renormalization group for Bloch electrons in a magnetic field”, J. Phys. A: Math. Gen., 20:13 (1987), 4337–4354.

2. J. P. Guillement, B. Helffer, and P. Treton, “Walk inside Hofstadter’s butterfly”, J. Phys. France, 50:15 (1989), 2019–2058.

3. H. L. Cycon, R. G. Froese, W. Kirsch, and B. Simon, Schrödinger Operators, with Applications to Quantum Mechanics and Global Geometry, Springer-Verlag, Berlin, 1987.

4. V. S. Buslaev and A. A. Fedotov, “Bloch solutions for difference equations”, Algebra i Analiz, 7:4 (1995), 74–122; English transl.: St. Petersburg Math. J., 7:4 (1996), 561–594.

5. A. A. Fedotov, “Monodromization method in the theory of almost-periodic equations”, Algebra i Analiz, 25:2 (2013), 203–235; English transl.: St. Petersburg Math. J., 25:2 (2014), 303–325.

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