T. M. Gataullin, M. V. Karasev, “On the perturbation of the quasilevels of a Schrödinger operator with complex potential”, TMF, 9:2 (1971), 252–263; Theoret. and Math. Phys., 9:2 (1971), 1117

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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 9, Number 2, Pages 252–263 (Mi tmf4460)

This article is cited in 6 scientific papers (total in 6 papers)

On the perturbation of the quasilevels of a Schrödinger operator with complex potential

T. M. Gataullin, M. V. Karasev

Full-text PDF (1101 kB) Citations (6)

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Abstract: The concepts of energy levels and quasi-levels are defined in a unique way for three-dimensional Schrödinger operator with complex finite potential. The behaviour of quasi-levels in the case of analytical perturbation of potential is studied. For the first correction of the perturbation theory the analogue of the secular equation is obtained.

Received: 18.12.1970

English version:
Theoretical and Mathematical Physics, 1971, Volume 9, Issue 2, Pages 1117–1126
DOI: https://doi.org/10.1007/BF01036948

Bibliographic databases:

Language: Russian

Citation: T. M. Gataullin, M. V. Karasev, “On the perturbation of the quasilevels of a Schrödinger operator with complex potential”, TMF, 9:2 (1971), 252–263; Theoret. and Math. Phys., 9:2 (1971), 1117–1126

Citation in format AMSBIB

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\by T.~M.~Gataullin, M.~V.~Karasev

\paper On the perturbation of the quasilevels of a~Schr\"odinger operator with complex potential

\jour TMF

\yr 1971

\vol 9

\issue 2

\pages 252--263

\mathnet{http://mi.mathnet.ru/tmf4460}

\zmath{https://zbmath.org/?q=an:0219.47012}

\transl

\jour Theoret. and Math. Phys.

\yr 1971

\vol 9

\issue 2

\pages 1117--1126

\crossref{https://doi.org/10.1007/BF01036948}

Linking options:

https://www.mathnet.ru/eng/tmf4460

https://www.mathnet.ru/eng/tmf/v9/i2/p252

This publication is cited in the following 6 articles:

D.I. Borisov, D.A. Zezyulin, “On Perturbation of Thresholds in Essential Spectrum under Coexistence of Virtual Level and Spectral Singularity”, Russ. J. Math. Phys., 31:1 (2024), 60
D. I. Borisov, D. A. Zezyulin, “On the Bifurcation of Thresholds of the Essential Spectrum with a Spectral Singularity”, Diff Equat, 59:2 (2023), 278
Timur M. Gataullin, Sergey T. Gataullin, Ksenia V. Ivanova, Lecture Notes in Networks and Systems, 155, “Smart Technologies” for Society, State and Economy, 2021, 1108
T. S. Tinyukova, “Issledovanie raznostnogo uravneniya Shredingera dlya nekotorykh fizicheskikh modelei”, Izv. IMI UdGU, 2013, no. 2(42), 3–57
Yu. P. Chuburin, “Resonance multiplicity of a perturbed periodic Schrödinger operator”, Theoret. and Math. Phys., 116:1 (1998), 846–855
Yu. P. Chuburin, “On small perturbations of the Schrödinger equation with periodic potential”, Theoret. and Math. Phys., 110:3 (1997), 351–359

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	176
References:	76
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