Publications @ INSPIRE
Publications @ arXiv

Articles

30) E. Baysazan, T. Birkandan, I. E. Unver, "Analysis of scalar fields with series convolution", Eur. Phys. J. C84, 995 (2024) (arXiv:2405.16986 [gr-qc])

29) B. Özelbaykal, O. Kaya, B. Kasım, T. Birkandan, Y. Koçluk, “Diagnostic ability of the corneal anterior and posterior surface area calculated by corneal modelling approach in early stage keratoconus patients”, European Journal of Ophthalmology 34(6), 1715-1727 (2024)

28) T. Birkandan, "Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field", General Relativity and Gravitation 55, 88 (2023) (arXiv:2204.10627 [gr-qc])

27) T. Birkandan, "Symbolic analysis of second-order ordinary differential equations with polynomial coefficients", Turkish Journal of Mathematics and Computer Science 14(2), 281-291 (2022) (arXiv: 2010.01563 [math-ph])

26) T. Birkandan, M. Hortacsu, "A massless scalar particle coupled to the Wahlquist metric", Eur. Phys. J. C81, 389 (2021) (arXiv: 2012.07352 [gr-qc])

25) B. Hamil, M. Merad, T. Birkandan, "Three dimensional DKP oscillator in a curved Snyder space", Int. J. Mod. Phys. A36 (08n09), 2150058 (2021) (arXiv: 2009.02150 [gr-qc])

24) B. Hamil, M. Merad, T. Birkandan, "Particle creation in the context of the emergent universe", Revista Mexicana de Fisica 67(2), 219 (2021)

23) B. Hamil, M. Merad, T. Birkandan, "Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential", Int. J. Mod. Phys. A36 (03), 2150018 (2021) (arXiv: 2008.03807 [quant-ph])

22) B. Hamil, M. Merad, T. Birkandan, "Bound-state solutions of the two-dimensional Dirac equation with Aharonov–Bohm-Coulomb interaction in the presence of extended uncertainty principle", Phys. Scr. 95 105307 (2020)

21) B. Hamil, M. Merad, T. Birkandan, "The Effects of the Modified (Anti-)Snyder Model on the Thermodynamic Properties of an Ideal Gas", International Journal of Thermophysics 41(9), 129 (2020)

20) B. Hamil, M. Merad, T. Birkandan, "The Duffin-Kemmer-Petiau oscillator in the presence of minimal uncertainty in momentum", Phys. Scr. 95(7), 075309 (2020)

19) B. Hamil, M. Merad, T. Birkandan, "Pair creation in curved Snyder space", Int. J. Mod. Phys. A35 no.04, 2050014 (2020)

18) A. Merad, M. Aouachria, M. Merad, T. Birkandan, "Relativistic oscillators in new type of the extended uncertainty principle", Int. J. Mod. Phys. A34 no.32, 1950218 (2019)

17) B. Hamil, M. Merad, T. Birkandan, "Applications of the extended uncertainty principle in AdS and dS spaces", Eur. Phys. J. Plus 134(6), 278 (2019)

16) T. Birkandan, C. Guzelgun, E. Sirin, M. C. Uslu, "Symbolic and Numerical Analysis in General Relativity with Open Source Computer Algebra Systems", General Relativity and Gravitation 51, 4 (2019) (arXiv: 1703.09738 [gr-qc])

15) T. Birkandan, M. Hortacsu, "Exact solution of the wave equation of a scalar particle in the zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times", General Relativity and Gravitation 50, 28 (2018) (arXiv:1711.06811 [gr-qc])

14) D. Bouaziz, T. Birkandan, "Singular inverse square potential in coordinate space with a minimal length", Annals Phys. 387, 62 (2017) (arXiv: 1711.04158 [quant-ph])

13) A. Benchikha, M. Merad, T. Birkandan, "Energy-dependent harmonic oscillator in noncommutative space", Mod. Phys. Lett. A 32 (19), 1750106 (2017)

12) T. Birkandan, M. Hortacsu, "Heun-type solutions for Schwarzschild metric with electromagnetic fields", EPL 119, 20002 (2017) (arXiv: 1704.00294 [math-ph])

11) T. Birkandan, M. Hortacsu, "Quantum Field Theory Applications of Heun Type Functions", Rept. Math.Phys. 79, 81 (2017) (arXiv: 1605.07848 [hep-th])

10) M. Falek, M. Merad, T. Birkandan, "Duffin-Kemmer-Petiau Oscillator with Snyder-de Sitter Algebra", J.Math.Phys. 58, 023501 (2017)

09) T. Birkandan, M. Cvetic, "An Analysis of the Wave Equation for the U(1)^2 Gauged Supergravity Black Hole", Class. Quantum Grav. 32, 085007 (2015) (arXiv: 1501.03144 [hep-th])

08) T. Birkandan, M. Cvetic, "Wave Equation for the Wu Black Hole", JHEP 09, 121 (2014) (arXiv: 1407.8173 [hep-th])

07) T. Birkandan, M. Cvetic, "Addentum to: Conformal Invariance and Near-extreme Rotating AdS Black Holes", Phys. Rev. D 90, 067504 (2014) (arXiv: 1406.5208 [hep-th])

06) T. Birkandan, M. Cvetic, "Conformal Invariance and Near-extreme Rotating AdS Black Holes", Physical Review D 84, 044018 (2011) (arXiv: 1106.4329 [hep-th])

05) T. Birkandan, M. Hortacsu, "Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution", published as Comment on "Dirac equation in the background of the Nutku helicoid metric", Journal of Mathematical Physics 49, 054101 (2008) (arXiv: 0711.0612 [gr-qc])

04) T. Birkandan, "A Newman-Penrose Calculator for Instanton Metrics", International Journal of Modern Physics C 19 (8), 1277 (2008) (arXiv: 0711.0613 [gr-qc])

03) T. Birkandan, M. Hortacsu, "Dirac Equation in the Background of the Nutku Helicoid Metric", Journal of Mathematical Physics 48, 092301 (2007) (arXiv: 0706.2543  [gr-qc])

02) T. Birkandan, M. Hortacsu, "Examples of Heun and Mathieu Functions as Solutions of Wave Equations in Curved Spaces", Journal of Physics A: Math. Theor. 40, 1105 (2007) (arXiv: gr-qc/0607108 )

01) T. Birkandan, M. Hortacsu, "Three Dimensional Gravity in the Presence of Scalar Fields", General Relativity and Gravitation 35 (3), 457 (2003) (arXiv: gr-qc/0104096)

Proceedings

04) T. Birkandan, P.-L. Giscard, A. Tamar, "Computations of general Heun functions from their integral series representations",
IEEE XPlore, Proceedings of the International Conference DAYS on DIFFRACTION 2021, pp. 12–18 (2021)  (arXiv: 2106.13729 [math.NA])

03) T. Birkandan, M. Cvetic, "Specific Form of the Wave Equation for Nonextremal Black Holes", Proceedings of the "14th Marcel Grossmann Meeting", 2697 (2017)

02) P. Aydiner, T. Birkandan, "Physical Problems Admitting Heun-to-Hypergeometric Reduction", IEEE XPlore, Proceedings of the International Conference DAYS on DIFFRACTION 2015, pp. 27-32 (2015) (arXiv: 1401.0449 [math-ph])

01) T. Birkandan, M. Hortacsu, "Examples of Heun and Mathieu Functions as Solutions of Wave Equations in Curved Spaces", EAS Publications Series 30, 265 (2008) "Spanish Relativity Meeting ERE07" (arXiv: 0710.4243 [gr-qc])

CODES

03) SageNP (SageMath): Newman-Penrose calculations for SageMath


02) SymODE2 (SageMath): Symbolic analysis of second-order ordinary differential equations with polynomial coefficients

01) NPInstanton (Maple): A Newman-Penrose Calculator for Instanton Metrics


Books

TRANSLATION (POPULAR SCIENCE):

"Six Easy Pieces", R. P. Feynman, trans. by T. Birkandan, C. Kapkin, Evrim Yayinevi (2002)

Director of THE Science Series (Popular Science): 

11) "Harezmi'den Cahit Arf'a" F. Dincer, Evrim Yayinevi (2008)

10) Turkish translation of "Dreams of a Final Theory", S. Weinberg, trans. by O. Akyuz, Evrim Yayinevi (2007)

09) "Yüz Defa Ölen Adam" B. Karaoglu, Evrim Yayinevi (2007)

08) Turkish translation of "Did Adam and Eve Have Navels?", M. Gardner, trans. by C. Kapkin, Evrim Yayinevi (2003)

07) "Matematik ve Öğretimi" S. Gozen, Evrim Yayinevi (2002)

06) Turkish translation of "The Pleasure of Findings Things Out", R. P. Feynman, trans. by N. Kucuk, Y. Cevik, Evrim Yayinevi (2002)

05) Turkish translation of "Six Easy Pieces", R. P. Feynman, trans. by T. Birkandan, C. Kapkin, Evrim Yayinevi (2002)

04) Turkish translation of "Beyond Science", J. Polkinghorne, trans. by E. Devrim, Evrim Yayinevi (2001)

03) Turkish translation of "What is Life? The Next Fifty Years", M. P. Murphy, L. A. J. O'Neill, trans. by T. Gurer, Evrim Yayinevi (2001)

02) Turkish translation of "Archimedes' Bathtub", D. Perkins, trans. by C. Kapkin, Evrim Yayinevi (2001)

01) Turkish translation of "Quantum Physics: Illusion or Reality", I. M. Rae, trans. by Y. Guler, Evrim Yayinevi (2000)

CO-EDITOR (ART HISTORY):

"Bilim Esigi 2 - Sanat Tarihinde Gencler 2004 Semineri Bildirileri", editors: A. Erkmen, co-editors: E. B. Alkim, D. Calisir, E. Yildiz, T. Birkandan, Arkeoloji ve Sanat Yayinlari (2005)