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A new optical Heisenberg ferromagnetic model for optical directional velocity magnetic flows with geometric phase

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Abstract

In this work, we first present the theory of Heisenberg ferromagnetic model of directional velocity magnetic flows of particles with the help of the quasi-frame in ordinary space. Afterward, we give new integrability conditions of directional velocity magnetic flows by using quasi-frame fields. Additionally, we derive the total phase for quasi-vector fields. Finally, we obtain new constructions for quasi-curvatures of directional velocity magnetic flows by Heisenberg ferromagnetic model.

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References

  1. S Baş and T Körpınar Bol. Soc. Paran. Mat. 31 9 (2013)

    Google Scholar 

  2. S Baş and T Körpınar J. Adv. Phys. 7 427 (2018)

    Google Scholar 

  3. T Körpınar and S Baş Int. J. Geom. Methods Mod. Phys. 16 1950020 (2019)

    MathSciNet  Google Scholar 

  4. Z S Körpinar, M Tuz and T Körpinar Int. J. Theor. Phys. 55 8 (2016)

    Google Scholar 

  5. Z S Körpinar, E Turhan and M Tuz Int. J. Theor. Phys. 54 3195 (2015)

    Google Scholar 

  6. D Y Kwon , F C Park and D P Chi Appl. Math. Lett. 18 1156 (2005)

    MathSciNet  Google Scholar 

  7. D E Kharzeev Prog. Part. Nucl. Phys. 75 133 (2014)

    ADS  Google Scholar 

  8. E Hairer, C Lubich and G Wanner Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Berlin: Springer) (2006).

    Google Scholar 

  9. T Tajima Laser Part. Beams 3 351 (1985)

    ADS  Google Scholar 

  10. G Chen and Q Wang Opt. Quantum Electron. 27 1069 (1995)

    Google Scholar 

  11. G L Lamb J. Math. Phys. 18 1654 (1977)

    ADS  Google Scholar 

  12. S Murugesh and R Balakrishnan Phys. Lett. A 290 81 (2001)

    ADS  MathSciNet  Google Scholar 

  13. M V Berrry Proc. R. Soc. Lond. A Math. Phys. Sci. 392 45 (1984)

    ADS  Google Scholar 

  14. X S Fang and Z Q Lin IEEE Trans. Microw. Theory Tech. MTT 33 1150 (1985)

    Google Scholar 

  15. J N Ross Opt. Quantum Electron. 16 455 (1984)

    ADS  Google Scholar 

  16. A Tomita and R Y Chiao Phys. Rev. Lett. 57 937 (1986)

    ADS  Google Scholar 

  17. F Wassmann and A Ankiewicz Appl. Opt. 37 18 (1998)

    Google Scholar 

  18. R Balakrishnan, R Bishop and R Dandoloff Phys. Rev. Lett. 64 2107 (1990)

    ADS  MathSciNet  Google Scholar 

  19. R Balakrishnan, R Bishop and R Dandoloff Phys. Rev. B 47 3108 (1993)

    ADS  Google Scholar 

  20. R Balakrishnan and R Dandoloff Phys. Lett. A 260 62 (1999)

    ADS  MathSciNet  Google Scholar 

  21. T Körpınar Acta Scientiarum Technology 37 245 (2015)

    Google Scholar 

  22. T Körpinar and R C Demirkol Int. J. Geom. Methods Mod. Phys. 15 1850020 (2018)

    MathSciNet  Google Scholar 

  23. T Körpinar and R C Demirkol Int. J. Geom. Methods Mod. Phys. 15 1850184 (2018)

    MathSciNet  Google Scholar 

  24. N Gürbüz Int. J. Geom. Methods Mod. Phys. 12 1550052 (2015)

    MathSciNet  Google Scholar 

  25. N Gürbüz Int. J. Geom. Methods Mod. Phys. 14 1750175 (2017)

    MathSciNet  Google Scholar 

  26. Z Körpınar and M İnç J. Adv. Phys. 7 239 (2018)

    Google Scholar 

  27. Z Körpinar Therm. Sci. 22 87 (2018)

    Google Scholar 

  28. Z Körpinar Acta Sci. Technol. 41 e36596 (2019)

    Google Scholar 

  29. G Öztürk, S Büyükkütük and I Kisi Bull. Iran. Math. Soc. 43 771 (2017)

    Google Scholar 

  30. I Kisi and G Öztürk Int. J. Geom. Meth. Mod. Phys. 14 1750026 (2017)

    Google Scholar 

  31. G Öztürk, I Kişi and S Büyükkütük Adv. Appl. Clifford Algebras 27 1659 (2017)

    MathSciNet  Google Scholar 

  32. S Buyukkutuk, I Kisi and G. Ozturk New Trends Math. Sci. 5 61 (2017)

    Google Scholar 

  33. S Büyükkütük and G Öztürk Bull. Math. Anal. Appl. 9 12 (2017)

    MathSciNet  Google Scholar 

  34. Y Ünlütürk and S Yılmaz TWMS J. Appl. Eng. Math. 8 330 (2018)

    Google Scholar 

  35. Y Ünlütürk and S Yılmaz J. Math. Anal. Appl. 440 561 (2016)

    MathSciNet  Google Scholar 

  36. T Körpınar Zeitschrift für Naturforschung A 70 477 (2015)

    ADS  Google Scholar 

  37. T Körpınar and E Turhan Differ. Equ. Dyn. Syst. 21 281 (2013)

    MathSciNet  Google Scholar 

  38. T Körpınar J. Dyn. Syst. Geom. Theor. 15 15 (2017)

    MathSciNet  Google Scholar 

  39. T Körpınar J. Adv. Phys. 7 257 (2018)

    Google Scholar 

  40. T Körpınar Int. J. Theor. Phys. 54 1762 (2015)

    Google Scholar 

  41. T Körpınar, R C Demirkol and V Asil Revista Mexicana deFisica 64 176 (2018)

    Google Scholar 

  42. T Körpınar Indian J. Phys. https://doi.org/10.1007/s12648-019-01462-2 (2019)

    Article  Google Scholar 

  43. L R Bishop Am. Math. Mon. 82 246 (1975)

    Google Scholar 

  44. M P Carmo Differential Geometry of Curves and Surfaces (New Jersey: Prentice-Hall) (1976)

    MATH  Google Scholar 

  45. C Ekici, H Tozak and M Dede J. Math. Anal. 8 1 (2017)

    MathSciNet  Google Scholar 

  46. M Dede, C Ekici and H Tozak Int. J. Algebra 9 527 (2015).

    Google Scholar 

  47. M Dede, C Ekici and İ A Güven Gazi Univ. J. Sci. 31 202 (2018)

    Google Scholar 

  48. T Körpinar and R C Demirkol Math. Methods Appl. Sci. 42 3069 (2019)

    ADS  MathSciNet  Google Scholar 

  49. S Baş and T Körpınar Mathematics 7 195 (2019)

    Google Scholar 

  50. M T Sarıaydın and T Körpinar Afr. Mat. 30 209 (2019)

    MathSciNet  Google Scholar 

  51. T Körpinar S Baş J. Adv. Phys. 7 427 (2018)

    Google Scholar 

  52. T Körpinar, R C Demirkol Acta Sci. Technol. 40 e35493 (2018)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics, Muş Alparslan University, 49250, Muş, Turkey

    Talat Körpinar

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  1. Talat Körpinar
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Correspondence to Talat Körpinar.

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Körpinar, T. A new optical Heisenberg ferromagnetic model for optical directional velocity magnetic flows with geometric phase. Indian J Phys 94, 1409–1421 (2020). https://doi.org/10.1007/s12648-019-01596-3

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