Calculation of the Flux Associated With the Electron's Spin on the Basis of the Magnetic Top Model

Sağlam, M.; Boyacıoğlu, Bahadır

doi:10.1142/s0217979202010038

Cited by 17 publications

(13 citation statements)

References 4 publications

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“…In order to calculate the total quantum flux in the Josephson structures only the flux of the external magnetic field (and hence the external vector potential) has been considered in literature. To show the spin contribution to the total flux we take the results of Saglam [7] and Saglam and Boyacıoglu [19]; depending on the spin orientations, to the quantized intrinsic flux of a correlated electron (or hole) is equal to…”

Section: Application Of Landau Quantization To a 2d Superconducting Nmentioning

confidence: 99%

“…Following Saglam and Boyacıoglu [19] we assume that spin angular momentum of the electron (hole) is produced by the fictitious point charge ±e rotating in a circular orbit with the angular frequency ω s and radius R in x−y plane. As it is shown in [19] as far as the magnetic flux is concerned the radius are is a phenomenal concept whose detailed calculation in terms of electron (hole) radius is not important here. When we put spinning electron (hole) in an external magnetic field B, the field will not change the electron's intrinsic angular velocity ω s (because ω s ω c = eB/mc).…”

Section: Appendix: Calculation Of the Magnetic Flux For A Spinning Elmentioning

confidence: 99%

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Application of Intrinsic Quantized Flux of Electrons and Holes in Josephson Junctions

Saglam

Boyacıoğlu

2018

Acta Phys. Pol. A

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The aim of this study is to investigate the influence of spin degrees of freedom on the flux quantization in a 2D Josephson junction. One of the most important properties of the Josephson structures is the total quantum flux which can be related to the phase difference across the junction. For example the sign of the phase difference controls the direction of the Josephson current while the magnitude of the phase difference affect the critical current itself. So far in literature to calculate the total quantum flux in the Josephson structures only the flux of the external magnetic field (and hence the external vector potential) has been considered but the intrinsic quantum flux of correlated electrons and holes have not been taken into account. We have recently calculated the intrinsic quantized magnetic flux of electrons and holes. We showed that depending on the spin orientations, the spin contribution to the quantized intrinsic flux of a correlated electron is equal to (Φint = ± g * Φ 02 ). Here g * is the effective Landé g-factor and Φ0 is the unit of flux (fluxoid). In the present study we calculate the above mentioned phase differences across the junction considering the intrinsic quantum flux of electrons and holes. For electrons the additional flux contribution will be: ∆Φint = ± g * e Φ 0 2 and for holes, the related contribution will be:2 . We show that, for both charge carriers, the effective Landé g-factors (g * e , g * h ), take only even integer values such as (0, 2, 4, . . .). The present calculations can be easily extended to the intrinsic Josephson junctions as well. We found that flux contribution to the total flux due to spin is very important and it is in fact ±Φ0/2 depending on the spin up and down cases or the ground state.

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Section: Application Of Landau Quantization To a 2d Superconducting Nmentioning

confidence: 99%

Section: Appendix: Calculation Of the Magnetic Flux For A Spinning Elmentioning

confidence: 99%

Application of Intrinsic Quantized Flux of Electrons and Holes in Josephson Junctions

Saglam

Boyacıoğlu

2018

Acta Phys. Pol. A

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“…Magnetic flux quantization has been known for more than 60 years [17] [18]. Saglam and Boyacioglu [19], with a semiclassical method, calculated quantized magnetic fluxes through the Landau orbits of an electron including the effect of the spinning motion. They show that the spin contribution to the quantized magnetic flux is equal to In Appendix II, we introduce the conservation of the quantum flux in collisions: We write the Lagrangian of an electron moving in a uniform magnetic field in z direction then calculate the z-component of the conserved canonical angular momentum J c which has two elements: The conservation of the kinetic angular momentum and the conservation of the magnetic flux.…”

Section: ( )ẑmentioning

confidence: 99%

Magnetic Moment of Photon

Saglam¹,

Şahin²

2015

JMP

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We have calculated the intrinsic magnetic moment of a photon through the intrinsic magnetic moment of a gamma photon created as a result of the electron-positron annihilation with the angular frequency ω. We show that a photon propagating in z direction with an angular frequency ω carries a magnetic moment of µz = ±(ec/ω) along the propagation direction. Here, the (+) and (−) signs stand for the right hand and left circular helicity respectively. Because of these two symmetric values of the magnetic moment, we expect a splitting of the photon beam into two symmetric subbeams in a Stern-Gerlach experiment. The splitting is expected to be more prominent for low energy photons. We believe that the present result will be helpful for understanding the recent attempts on the Stern-Gerlach experiment with slow light and the behavior of the dark polaritons and also the atomic spinor polaritons.

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“…Recently we have calculated the magnetic field inside a free electron due to spinning motion [1] and showed that it is about 8.3 × 10 13 T. This field is about 8.3 × 10 11 times bigger than the highest magnetic field obtained in today's laboratories [2] [3] and 10 3 times bigger than that in neutron stars (magnetars) [4] [5]. In that calculations [1], which are based on the current loop model, the intrinsic magnetic flux associated with its spinning motion of the electron which is calculated either by a semiclassical methode or by a full quantum mechanical solution of Dirac equation [6] [7] [8] gives the same result: ( ) 2 Journal of Modern Physics to that spherical charge distribution. To overcome this difficulty we introduced current loop model [6].…”

Section: Introductionmentioning

confidence: 99%

Calculation of the Spinning Speed of a Free Electron

Sağlam¹,

Bayram²,

Saglam³

et al. 2020

JMP

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In a recent work, we calculated the magnetic field inside a free electron due to its spin, and found it to be about B = 8.3 × 10 13 T. In the present study we calculate the spinning speed of a free electron in the current loop model. We show that spinning speed is equal to the speed of light. Therefore it is shown that if electron was not spinning the mass of electron would be zero. But since spinning is an unseparable part of an electron, we say that mass of electron is non-zero and is equal to (m = 9.11 × 10 −28 g). KeywordsSpinning Speed, Intrinsic Current, Intrinsic Magnetic Field, The Intrinsic Flux of Electron, Current Loop Model s e hc e Φ = ± . The current loop model is mainly based on the magnetic top model which was first introduced by Barut et al. [9] and used by N. Rosen [10] and L. Schulman [11]. But the magnetic top model was rather primitive as the spin vector was only attached

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Calculation of the Flux Associated With the Electron's Spin on the Basis of the Magnetic Top Model

Cited by 17 publications

References 4 publications

Application of Intrinsic Quantized Flux of Electrons and Holes in Josephson Junctions

Application of Intrinsic Quantized Flux of Electrons and Holes in Josephson Junctions

Magnetic Moment of Photon

Calculation of the Spinning Speed of a Free Electron

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