Quantized magnetic flux through the excited-state orbit of the hydrogen atom

Sağlam, M.; Boyacıoğlu, Bahadır; Saglam, Ziya; Wan, K. Kong

doi:10.1007/s10946-007-0015-6

Cited by 11 publications

(11 citation statements)

References 7 publications

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“…As the full angular momentum is assumed to be constant in space, the angular momentum of the nucleus and the angular momentum of the orbiting electron are circulating around the direction of the full angular momentum. The projection of the magnetic field vector B in the direction of the area vector A j gives (see rule (2) and (5))…”

Section: Zeeman Effectmentioning

confidence: 99%

“…The magnetic flux through the electronic orbits of the hydrogen atom was investigated by different methods within several atomic models, as there are: the Schrdinger model [1,2], the Dirac model [3] and the Rutherford-Bohr model [4], showing in particular, that the magnetic flux through these orbits is quantized and has a pronounced spin-dependency. The quantization of magnetic flux in units of Φ 0 = h/e was first recognized in the 1950s by London [5] and Onsager [6] by considering a supercurrent around a closed path.…”

Section: Introductionmentioning

confidence: 99%

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Quantized Magnetic Flux in the Bohr–Sommerfeld Model

Stein

2013

J Russ Laser Res

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Based on Bohr-Sommerfeld model the quantization of magnetic flux through the electronic orbits is investigated together with its dependency on additional sources of magnetic fields. The additional magnetic field causes changes of the angular momentum and hence shifts of the energy of the atomic levels. This effect is investigated for the cases of the Zeeman effect, where the source is an external homogeneous magnetic field, and the hyperfine interaction, where the source is the field of the magnetic moment of the nucleus. A model for the handling of the different angular momentum contributions is discussed for which the energy shifts due to Zeeman effect and the magnetic dipole contribution to the hyperfine interaction can be reproduced quite well. The meaning of 'spin', however, changes within this approach drastically. The unusual Land g-factor of the electron is discussed to be the result of a reduced ground state angular momentum of the electron in combination with the field of the magnetic moment of the electron rather than an intrinsic property of the electron.

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Section: Zeeman Effectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantized Magnetic Flux in the Bohr–Sommerfeld Model

Stein

2013

J Russ Laser Res

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“…To find the eigenvalues corresponding to the excitonic levels we first write the Dirac Hamiltonian for hydrogen atom [1] :…”

Section: Formalismmentioning

confidence: 99%

“…In an earlier study [1] we calculated the quantized magnetic fluxes through the electronic orbits |n, l, m j of hydrogen atom in the absence of an external magnetic field. The source of the magnetic field was taken to be the proton's magnetic moment.…”

Section: Introductionmentioning

confidence: 99%

“…Very recently Saglam and Sahin [2,3] proved that photon itself carries an intrinsic flux quantum of ±Φ 0 = ±hc/e here the (+) and (−) signs stand for the right hand and left circular helicity respectively] and the circumference of the flux tube is equal to the wavelength of the photon. The aim of the present study is to apply the results of [1,2] to the 1s-2p and 2p-3d excitonic transitions in nanostructures. Excitons in semiconductors and nanostructures constitute a well defined model system to study many body interactions between large number of quasiparticles, phonons and photons [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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Application of the photon's intrinsic flux to the 1s-2p and 2p-3d excitonic transitions in nanostructures

Saglam

Sağlam

2009

Ann. Phys.

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We have applied our two recent results [depending on its helicity photon carries a quantum flux of ±Φ0 = ±hc/e and the quantized magnetic fluxes through the electronic orbits of the Dirac hydrogen atom are given by: Φ(n, l, mj) = (n − l − mj)Φ0)] to the 1s-2p and 2p-3d excitonic transitions in nanostructures. It is shown that the flux changes for the non-zero matrix elements in the 1s-2p and 2p-3d excitonic transitions is either ±Φ0 or zero. The present result supports the previous results stated above. It is also shown that spin flip is possible in the 1s-2p and 2p-3d excitonic transitions.

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Application of the photon's intrinsic flux to the 1s‐2p and 2p‐3d excitonic transitions in nanostructures

Saglam

Sağlam

2009

Annalen der Physik

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We have applied our two recent results [depending on its helicity photon carries a quantum flux of ± Φ 0 = ± hc/e and the quantized magnetic fluxes through the electronic orbits of the Dirac hydrogen atom are given by: Φ (n,l,mj) = (n‐l‐mj)Φ0) ] to the 1s‐2p and 2p‐3d excitonic transitions in nanostructures. It is shown that the flux changes for the non‐zero matrix elements in the 1s‐2p and 2p‐3d excitonic transitions is either ± Φ0 or zero. The present result supports the previous results stated above. It is also shown that spin flip is possible in the 1s‐2p and 2p‐3d excitonic transitions.

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Quantized magnetic flux through the excited-state orbit of the hydrogen atom

Cited by 11 publications

References 7 publications

Quantized Magnetic Flux in the Bohr–Sommerfeld Model

Quantized Magnetic Flux in the Bohr–Sommerfeld Model

Application of the photon's intrinsic flux to the 1s-2p and 2p-3d excitonic transitions in nanostructures

Application of the photon's intrinsic flux to the 1s‐2p and 2p‐3d excitonic transitions in nanostructures

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