Intrinsic Magnetic Flux of the Electron's Orbital and Spin Motion

Wan, K. Kong; Sağlam, M.

doi:10.1007/s10773-006-9118-z

Cited by 10 publications

(15 citation statements)

References 18 publications

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“…We can go on to define the magnetic moment or magnetic flux generated by the circulating current [7] (pp. 486-489), [16,17]:…”

Section: Discussionmentioning

confidence: 99%

“…Since ψ π,n,p is an eigenfunction of L π,n corresponding to the eigenvalue L π,n a formal calculation will give the following circulating electric current density on the plane [7] (pp. 486-489), [16,17]: j n (r) = −q c L π,n m c r ψ π,n,p 2 = −q c L π,n 2πm c r 2 .…”

Section: Discussionmentioning

confidence: 99%

“…established for similar current configurations [7] (p. 483, p. 488), [17]. Note that we have used the expression L ϕn in [17] for the self-inductance since the wave function ψ π,n,p contains the effective normalization factor 1/ √ 2πr for circular motion.…”

Section: Discussionmentioning

confidence: 99%

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Quantum Circuits and Schrödinger’s Cat States

Wan

Menzies

2008

Int J Theor Phys

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Quantum systems that are confined to circuit geometries are called quantum circuits. Macroscopic superconducting circuits are quantum circuits which can be modelled using a Quantisation by Parts scheme based on the macroscopic wave function approach of Feynman. This paper studies the circuit composed of an input wire and an output plate. We find that in order to achieve a consistent theory of supercurrent flow we have to generalize the quantisation by parts scheme to quantise in a path space. The generalized theory predicts a current flow down the wire into the plane. In addition to a current flowing radially outwards in the plane, the theory allows a circulating current round the origin. Strikingly, the circulating current can flow clockwise or anti-clockwise in such a way as to generate a magnetic moment of magnitude half of a Bohr magneton for an orbiting electron in an atom and a magnetic flux half that of the magnetic flux quantum of a superconducting ring. There is also the possibility of a macroscopic superposition of the two states of opposing circulating currents resembling a Schrödinger's cat situation. Furthermore, we outline a setup involving an external magnetic field that may allow experimental tests of the theory.

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“…We can go on to define the magnetic moment or magnetic flux generated by the circulating current [7] (pp. 486-489), [16,17]:…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Quantum Circuits and Schrödinger’s Cat States

Wan

Menzies

2008

Int J Theor Phys

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“…To calculate the intrinsic quantum flux of a relativistic free electron in a uniform magnetic field within the framework of Dirac theory, we shall follow a similar way that we followed earlier [20]: Namely, we shall first calculate the quantum flux through the probability current (particle current) density associated with the wave function of a free Dirac electron in a uniform magnetic field, then connect it to the flux element To calculate the total induced quantized magnetic fluxes for spin-up and spin-down electrons, we substitute the wave functions of e − ↑ and e − ↓ states separately from Equation (AI-1) and Equation (AI-2) in Equation (AI-7): the spin dependent induced fluxes take the forms: (AI-9d)…”

Section: Appendix I: Calculation Of the Intrinsic Quantum Fluxes Of Ementioning

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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“…(7) is not a new result, because it is well known for an orbiting electron in atom, 42 for superconducting currents with a Cooper pair charge 2e, 43 as well as for superconducting currents in unconventional superconductors, where magnetic flux is proportional to e. 44 So far, it was implied that the radius of the enclosed curve is large enough to describe the curve trace unambiguously in a classical sense. Let us imagine now this radius is reducing so that the curve approaches the singular point.…”

Section: Electric Charge Quantization Via Quantization Of the Mamentioning

confidence: 99%

Spin motion versus monopole in the charge quantization problem

Dimitriev¹

2011

Physics Essays

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This paper critically reviews the foundation principles of the charge quantization problem based on introduction of monopole. By closely following the Dirac's approach, we show that there is an alternative way of solution of the above problem by changing topology of the surface through which the magnetic flux emanates. This way leads to introduction of a quantized magnetic moment along the z-axis due to spin motion of the charged particle, which is connected to the charge value through fundamental constants. The charge quantization via quantized magnetic moment is valid in respect to elementary particles whose mass cannot be divided. Advantages and disadvantages of using the monopole and quantized magnetic moment as applied to the charge quantization problem are compared and discussed.Résumé: Cet article examine de façon critique les principes de base du problème de quantification de charge basé sur l'introduction du monopole. Suit de près l'approche de Dirac, nous montrons qu'il ya une autre façon de résoudre le problème ci-dessus en modifiant la topologie de la surface par le biais duquel émane le flux magnétique. Ce chemin mène à l'introduction d'un moment magnétique quantifié le long de l'axe z en raison du mouvement de spin de la particule chargée, qui est relié à la valeur de charge grâce à des constantes fondamentales. La quantification de charge via le moment magnétique quantifié est valable en ce qui concerne les particules élémentaires dont la masse ne peut pas être divisée. Avantages et inconvénients de l'utilisation du monopole et quantifié moment magnétique appliqué au problème de quantification de charge sont comparés et discutés.

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Intrinsic Magnetic Flux of the Electron's Orbital and Spin Motion

Cited by 10 publications

References 18 publications

Quantum Circuits and Schrödinger’s Cat States

Quantum Circuits and Schrödinger’s Cat States

Magnetic Moment of Photon

Spin motion versus monopole in the charge quantization problem

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