Trace formulas for Schrödinger operators on periodic graphs

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125888 ◽

2021 ◽

pp. 125888

Author(s):

Evgeny Korotyaev ◽

Natalia Saburova

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Trace Formulas ◽

Periodic Graphs

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Trace Formulas for Schrödinger Operators with Complex Potentials

Russian Journal of Mathematical Physics ◽

10.1134/s1061920820010082 ◽

2020 ◽

Vol 27 (1) ◽

pp. 82-98

Author(s):

E. Korotyaev

Keyword(s):

Schrödinger Operators ◽

Complex Potentials ◽

Schrodinger Operators ◽

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Necessary and sufficient conditions for absolute summability of the trace formulas for certain one dimensional Schrödinger operators

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-02-06555-3 ◽

2002 ◽

Vol 131 (1) ◽

pp. 219-229 ◽

Author(s):

Alexei Rybkin

Keyword(s):

Schrödinger Operators ◽

Sufficient Conditions ◽

Absolute Summability ◽

Necessary And Sufficient Conditions ◽

Schrodinger Operators ◽

Trace Formulas ◽

One Dimensional ◽

Necessary And Sufficient

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Spectral band localization for Schrödinger operators on discrete periodic graphs

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2015-12586-5 ◽

2015 ◽

Vol 143 (9) ◽

pp. 3951-3967 ◽

Author(s):

Evgeny Korotyaev ◽

Natalia Saburova

Keyword(s):

Spectral Band ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Periodic Graphs

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Trace formulas for Schrödinger operators on star graphs with general matching conditions

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aaceb2 ◽

2018 ◽

Vol 51 (36) ◽

pp. 365301

Author(s):

Muhammad Usman ◽

Ali Ashher Zaidi

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Trace Formulas ◽

Matching Conditions ◽

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Trace formulas for Schrödinger operators on star graphs

Bulletin of Mathematical Sciences ◽

10.1007/s13373-016-0097-y ◽

2016 ◽

Vol 8 (1) ◽

pp. 15-31 ◽

Author(s):

Semra Demirel-Frank ◽

Laura Shou

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Trace Formulas ◽

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New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators

Russian Journal of Mathematical Physics ◽

10.1134/s106192081801003x ◽

2018 ◽

Vol 25 (1) ◽

pp. 27-43 ◽

Author(s):

H. Isozaki ◽

E. L. Korotyaev

Keyword(s):

Schrödinger Operators ◽

Three Dimensional ◽

Schrodinger Operators ◽

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Schrödinger operators with guided potentials on periodic graphs

Proceedings of the American Mathematical Society ◽

10.1090/proc/13733 ◽

2017 ◽

Vol 145 (11) ◽

pp. 4869-4883 ◽

Author(s):

Evgeny Korotyaev ◽

Natalia Saburova

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Periodic Graphs

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Trace formulas for Schrödinger operators on the half-line

Bulletin of Mathematical Sciences ◽

10.1007/s13373-011-0016-1 ◽

2011 ◽

Vol 1 (2) ◽

pp. 397-427 ◽

Author(s):

Semra Demirel ◽

Muhammad Usman

Keyword(s):

Schrödinger Operators ◽

Half Line ◽

Schrodinger Operators ◽

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Trace formulas for Schrödinger operators with complex potentials on a half line

Letters in Mathematical Physics ◽

10.1007/s11005-019-01210-x ◽

2019 ◽

Vol 110 (1) ◽

pp. 1-20

Author(s):

Evgeny Korotyaev

Keyword(s):

Schrödinger Operators ◽

Complex Potentials ◽

Half Line ◽

Schrodinger Operators ◽

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Essential Spectrum of Schrödinger Operators on Periodic Graphs

Functional Analysis and Its Applications ◽

10.1007/s10688-018-0210-y ◽

2018 ◽

Vol 52 (1) ◽

pp. 66-69 ◽

Author(s):

V. S. Rabinovich

Keyword(s):

Essential Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Periodic Graphs

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