Abstract
In this manuscript, we focus recursional and normalized operator for timelike \(\tau \)-magnetic particles in Heisenberg deSitter Space \({\mathbb {H}}_{{\mathbb {S}}_{1}^{2}}\). Thus, we obtain Heisenberg normalized optical \(\nu \)-density for\(\mathcal {L}(\tau ),\) \( \mathcal {L}(\nu ),\) \(\mathcal {L}(\beta )\) with recursional operator. Also, we characterize Heisenberg normalized \(\nu \)-ferromagnetic total \( \mathcal {L}(\tau )\) phase. Moreover, we characterize \(\nu \)-photonic \( \mathcal {L}(\tau ),\) \(\mathcal {L}(\nu ),\) \(\mathcal {L}(\beta )\) crystal is presented by optical Heisenberg normalized inextensible shape in Heisenberg deSitter Space \({\mathbb {H}}_{{\mathbb {S}}_{1}^{2}}\).
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References
Abdullah, F.A., Islam, M.T., Gómez-Aguilar, J.F., Akbar, M.A.: Impressive and innovative soliton shapes for nonlinear Konno–Oono system relating to electromagnetic field. Opt. Quant. Electron. 55(1), 69 (2023)
Arbind, A., Reddy, J.N., Srinivasa, A.R.: A nonlinear 1-D finite element analysis of rods/tubes made of incompressible neo-Hookean materials using higher-order theory. Int. J. Solids Struct. 166, 1–21 (2019)
Balakrishnan, R., Bishop, R.A., Dandoloff, R.: Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain. Phys. Rev. Lett. 64(18), 2107 (1990)
Cao, F.: Geometric Curve Evolution and Image Processing. Springer, Berlin (2003)
Carmo, M.P.: Differential Geometry of Curves and Surfaces. Prentice-Hall, New York (1976)
Carollo, A., Valenti, D., Spagnolo, B.: Geometry of quantum phase transitions. Phys. Rep. 838, 1–72 (2020)
Cheng, S., Xia, T., Liu, M., Xu, S., Gao, S., Zhang, G., Tao, S.: Optical manipulation of microparticles with the momentum flux transverse to the optical axis. Opt. Laser Technol. 113, 266–272 (2019)
Cohen, E., Larocque, H., Bouchard, F., Nejadsattari, F., Gefen, Y., Karimi, E.: Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond. Nat. Rev. Phys. 1(7), 437–449 (2019)
Conte, R., Musette, M.: Link between solitary waves and projective Riccati equations. J. Phys. A: Math. Gen. 25(21), 5609 (1992)
Gao, W., Ren, L.L., Liu, R.Q., Han, Y.C.: The role of geometric phase in dissociation dynamics of the molecule. Int. J. Quantum Chem. 121(22), e26787 (2021)
Guerci, D., Simon, P., Mora, C.: Superradiant phase transition in electronic systems and emergent topological phases. Phys. Rev. Lett. 125(25), 257604 (2020)
Hirota, R.: Direct methods in soliton theory. In: Solitons, pp. 157–176. Springer, Berlin (1980)
Islam, M.T., Abdullah, F.A., Gómez-Aguilar, J.F.: A variety of solitons and other wave solutions of a nonlinear Schrödinger model relating to ultra-short pulses in optical fibers. Opt. Quant. Electron. 54(12), 866 (2022a)
Islam, M.T., Akter, M.A., Gómez-Aguilar, J.F., Akbar, M.A., Torres-Jiménez, J.: A novel study of the nonlinear Kadomtsev–Petviashvili-modified equal width equation describing the behavior of solitons. Opt. Quant. Electron. 54(11), 725 (2022b)
Islam, M.T., Akter, M.A., Gomez-Aguilar, J.F., Akbar, M.A., P érez-Careta, E.: Innovative and diverse soliton solutions of the dual core optical fiber nonlinear models via two competent techniques. Nonlinear Opt. Phys. Mater. 32, 2350037 (2023)
Korpinar, Z.: Some analytical solutions by mapping methods for non-linear conformable time-fractional PHI-4 equation. Therm. Sci. 23(6), 1815 (2019)
Körpinar, T.: A new optical Heisenberg ferromagnetic model for optical directional velocity magnetic flows with geometric phase. Indian J. Phys. 94(9), 1409–1421 (2020a)
Körpinar, T.: Optical directional binormal magnetic flows with geometric phase: Heisenberg ferromagnetic model. Opt. - Int. J. Light Electron Opt. 219, 165134 (2020b)
Korpinar, T., Demirkol, R.C.: Frictional magnetic curves in 3D Riemannian manifolds. Int. J. Geom. Methods Mod. Phys. 15(02), 1850020 (2018a)
Korpinar, T., Demirkol, R.C.: Gravitational magnetic curves on 3D Riemannian manifolds. Int. J. Geom. Methods Mod. Phys. 15(11), 1850184 (2018b)
Körpinar, T., Körpinar, Z.: Timelike spherical magnetic SN flux flows with Heisenberg spherical ferromagnetic spin with some solutions. Optik 242, 166745 (2021a)
Körpinar, T., Körpinar, Z.: A new approach for fractional spherical magnetic flux flows with some fractional solutions. Optik 240, 166906 (2021b)
Körpinar, T., Körpinar, Z.: Optical electromagnetic flux fibers with optical antiferromagnetic model. Optik 251, 168301 (2022a)
Körpinar, T., Körpinar, Z.: New optical flux for optical antiferromagnetic modified drift density. Opt. Quant. Electron. 54(12), 829 (2022b)
Körpinar, T., Körpinar, Z.: Optical normalized microscale for optical total recursion electromagnetic flux on Heisenberg space SH 2. Opt. Quant. Electron. 54(12), 777 (2022c)
Körpinar, T., Körpinar, Z.: Antiferromagnetic viscosity model for electromotive microscale with second type nonlinear heat frame. Int. J. Geom. Methods Mod. Phys. 2350163 (2023a)
Körpinar, T., Körpinar, Z.: New optical geometric recursional electromagnetic ferromagnetic microscale. Int. J. Mod. Phys. B 2450092 (2023b)
Körpinar, Z., Körpinar, T.: New optical recursional spherical ferromagnetic flux for optical sonic microscale. J. Nonlinear Opt. Phys. Mater. 2350051 (2023c)
Körpinar, T., Körpinar, Z.: Optical visco microfluidic optimistic hybrid optical electromotive microscale. Int. J. Mod. Phys. B 2450159 (2023d)
Körpinar, T., Körpinar, Z.: Antiferromagnetic Schr ödinger electromotive microscale in Minkowski space. Opt. Quant. Electron. 55(8), 681 (2023e)
Körpinar, T., Körpinar, Z.: Antiferromagnetic complex electromotive microscale with first type Schrödinger frame. Opt. Quant. Electron. 55(6), 505 (2023f)
Körpınar, T., Körpınar, Z.: Optical phase of recursional hybrid visco ferromagnetic electromagnetic microscale. Phys. Lett. A 462, 128651 (2023g)
Körpinar, T., Körpinar, Z.: New modeling for Heisenberg velocity microfluidic of optical ferromagnetic mKdV flux. Opt. Quant. Electron. 55(6), 523 (2023h)
Korpinar, T., Demirkol, R.C., Körpınar, Z.: Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in Minkowski space with Bishop equations. Eur. Phys. J. D 73(9), 1–11 (2019)
Körpinar, T., Demirkol, R.C., Körpinar, Z., Asil, V.: Maxwellian evolution equations along the uniform optical fiber. Optik 217, 164561 (2020a)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Elastic magnetic curves of ferromagnetic and superparamagnetic models. Math. Methods Appl. Sci. 44(7), 5797–5820 (2020b)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: New analytical solutions for the inextensible Heisenberg ferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction. Phys. Scr. 96(8), 085219 (2021a)
Korpinar, T., Demirkol, R.C., Khalil, E.M., Korpinar, Z., Baleanu, M.D.: In ç, Quasi binormal Schrodinger evolution of wave polarizatıon field of light wıth repulsive type. Phys. Scr. 96(4), 045104 (2021b)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Polarization of propagated light with optical solitons along the fiber in de-sitter space \( S_{1}^{2}\). Optik 226, 165872 (2021c)
Körpinar, T., Demirkol, R.C., Körpinar, Z.: A fractionally magnetized flow of force fields and Fermi–Walker conformable derivative on the unit sphere. Waves Random Complex Media, 1–19 (2022a)
Körpinar, T., Körpinar, Z., Asil, V.: New optical Heisenberg model with timelike optical de Sitter flux density. Optik 265, 169438 (2022b)
Körpinar, T., Ünlütürk, Y., Körpinar, Z.: A novel approach to the motion equations of null Cartan curves via the compatible Hasimoto map. Optik 290, 171220 (2023a)
Körpinar, T., Demirkol, R.C., Körpinar, Z.: On the new conformable optical ferromagnetic and antiferromagnetic magnetically driven waves. Opt. Quant. Electron. 55(6), 496 (2023b)
Korpinar, Z., Inc, M., Korpinar, T.: Ferromagnetic recursion for geometric phase timelike SN-magnetic fibers. Opt. Quant. Electron. 55(4), 382 (2023c)
Körpinar, T., Körpinar, Z., Asil, V.: Optical electromotive microscale with first type Schrödinger frame. Optik 276, 170629 (2023d)
Lakshmanan, M., Rajasekar, S.: Nonlinear Dynamics: Integrability, Chaos and Patterns. Springer, New York (2003)
Li, L., Pang, L., Wang, R., Zhang, X., Hui, Z., Han, D., Liu, W.: Ternary transition metal dichalcogenides for high power vector dissipative soliton ultrafast fiber laser. Laser Photonics Rev. 16(2), 2100255 (2022)
Liu, S., Fu, Z., Liu, S., Zhao, Q.: Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys. Lett. A 289, 69 (2001)
Millen, J., Stickler, B.A.: Quantum experiments with microscale particles. Contemp. Phys. 61(3), 155–168 (2020)
Othman, M.I.A., Mahdy, A.M.S.: Numerical studies for solving a free convection boundary-layer flow over a vertical plate. Mech. Mech. Eng. 22(1), 41–48 (2018)
Park, H.M., Kwon, U., Joo, K.N.: Vision chromatic confocal sensor based on a geometrical phase lens. Appl. Opt. 60(10), 2898–2901 (2021)
Popczyk, A., Aamoum, A., Migalska-Zalas, A., Płóciennik, P., Zawadzka, A., Mysliwiec, J., Sahraoui, B.: Selected organometallic compounds for third order nonlinear optical application. Nanomaterials 9(2), 254 (2019)
Raza, N., Jannat, N., Gómez-Aguilar, J.F., Pérez-Careta, E.: New computational optical solitons for generalized complex Ginzburg–Landau equation by collective variables. Mod. Phys. Lett. B 36(28n29), 2250152 (2022)
Tzuang, L.D., Fang, K., Nussenzveig, P., Fan, S., Lipson, M.: Non-reciprocal phase shift induced by an effective magnetic flux for light. Nat. Photonics 8(9), 701–705 (2014)
Vani, P., Vinitha, G., Naseer, K.A., Marimuthu, K., Durairaj, M., Sabari Girisun, T.C., Manikandan, N.: Thulium-doped barium tellurite glasses: structural, thermal, linear, and non-linear optical investigations. J. Mater. Sci.: Mater. Electron. 32, 23030–23046 (2021)
Wang, T., Sohoni, M.M., Wright, L.G., Stein, M.M., Ma, S.Y., Onodera, T., McMahon, P.L.: Image sensing with multilayer nonlinear optical neural networks. Nat. Photonics 17(5), 408–415 (2023)
Zhang, D., Tan, Z.: A review of optical neural networks. Appl. Sci. 12(11), 5338 (2022)
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Körpinar, Z., Körpinar, T. & Korkmaz, E. Optical quantum modeling for Heisenberg ferromagnetic normalized phase. Opt Quant Electron 55, 1182 (2023). https://doi.org/10.1007/s11082-023-05225-6
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DOI: https://doi.org/10.1007/s11082-023-05225-6