Research Article

P, T, and PT−symmetries of impulsive Dirac systems

Volume: 49 Number: 4 August 6, 2020
EN

P, T, and PT−symmetries of impulsive Dirac systems

Abstract

This article is concerned with locations of bound states and spectral singularities of an impulsive Dirac system. By using a transfer matrix, we obtain some spectral properties of this impulsive system. We also examine some special cases, where the impulsive condition at the origin has P, T, and PT−symmetry. 

Keywords

References

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  3. [3] E. Bairamov and A.O. Celebi, Spectrum and spectral expansion for the nonselfadjoint discrete Dirac operators, Quart. J. Math. Oxford Ser. 50 (200), 371–384, 1999.
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  5. [5] C.M. Bender and S. Boettcher, Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Rev. Lett. 80 (24), 5243–5246, 1998.
  6. [6] G.Sh. Guseinov, On the concept of spectral singularities, Pramana J. Phys. 73 (3), 587–603, 2009.
  7. [7] A.M. Krall, E. Bairamov, and O. Cakar, Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition, J. Differential Equations, 151 (2), 252–267, 1999.
  8. [8] V. Lakshmikantham, D.D. Bainov, and P.S. Simeonov, Theory of Impulsive Differential Equations 6, in: Series in Modern Applied Mathematics, World Scientific Publishing Co., Inc., Teaneck, NJ, 1989.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 6, 2020

Submission Date

March 25, 2019

Acceptance Date

September 2, 2019

Published in Issue

Year 2020 Volume: 49 Number: 4

APA
Baıramov, E., Solmaz, S., & Cebesoy, S. (2020). P, T, and PT−symmetries of impulsive Dirac systems. Hacettepe Journal of Mathematics and Statistics, 49(4), 1234-1244. https://doi.org/10.15672/hujms.542995
AMA
1.Baıramov E, Solmaz S, Cebesoy S. P, T, and PT−symmetries of impulsive Dirac systems. Hacettepe Journal of Mathematics and Statistics. 2020;49(4):1234-1244. doi:10.15672/hujms.542995
Chicago
Baıramov, Elgiz, Seyda Solmaz, and Serifenur Cebesoy. 2020. “P, T, and PT−symmetries of Impulsive Dirac Systems”. Hacettepe Journal of Mathematics and Statistics 49 (4): 1234-44. https://doi.org/10.15672/hujms.542995.
EndNote
Baıramov E, Solmaz S, Cebesoy S (August 1, 2020) P, T, and PT−symmetries of impulsive Dirac systems. Hacettepe Journal of Mathematics and Statistics 49 4 1234–1244.
IEEE
[1]E. Baıramov, S. Solmaz, and S. Cebesoy, “P, T, and PT−symmetries of impulsive Dirac systems”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 4, pp. 1234–1244, Aug. 2020, doi: 10.15672/hujms.542995.
ISNAD
Baıramov, Elgiz - Solmaz, Seyda - Cebesoy, Serifenur. “P, T, and PT−symmetries of Impulsive Dirac Systems”. Hacettepe Journal of Mathematics and Statistics 49/4 (August 1, 2020): 1234-1244. https://doi.org/10.15672/hujms.542995.
JAMA
1.Baıramov E, Solmaz S, Cebesoy S. P, T, and PT−symmetries of impulsive Dirac systems. Hacettepe Journal of Mathematics and Statistics. 2020;49:1234–1244.
MLA
Baıramov, Elgiz, et al. “P, T, and PT−symmetries of Impulsive Dirac Systems”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 4, Aug. 2020, pp. 1234-4, doi:10.15672/hujms.542995.
Vancouver
1.Elgiz Baıramov, Seyda Solmaz, Serifenur Cebesoy. P, T, and PT−symmetries of impulsive Dirac systems. Hacettepe Journal of Mathematics and Statistics. 2020 Aug. 1;49(4):1234-4. doi:10.15672/hujms.542995

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