Essential self-adjointness of a discrete magnetic Schrödinger operator

Author:

Sushch V. N.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference12 articles.

1. Yu. M. Berezanskii, Expansion of Self-Adjoint Operators in Eigenfunctions [in Russian], Naukova Dumka, Kiev (1965).

2. A. A. Dezin, Multidimensional Analysis and Discrete Models [in Russian], Nauka, Moscow (1990).

3. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis, Self-Adjointness, Academic, New York (1975).

4. V. N. Sushch, “On one discrete model of a magnetic Laplacian,” Ukr. Mat. Visnyk, 2, No. 4, 591–607 (2005).

5. J. Bellissard, H. Schulz-Baldes, and A. van Elst, “The noncommutative geometry of the quantum Hall effect,” J. Math. Phys., 35, 5373–5471 (1994).

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1. A Feynman–Kac–Itô formula for magnetic Schrödinger operators on graphs;Probability Theory and Related Fields;2015-05-27

2. A Sears-type self-adjointness result for discrete magnetic Schrödinger operators;Journal of Mathematical Analysis and Applications;2012-12

3. Essential Self-adjointness of Magnetic Schrödinger Operators on Locally Finite Graphs;Integral Equations and Operator Theory;2011-05-12

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