We have calculated the Zeeman-fine energies of atomic Lithium (Li) by using the varying effective Landé g-factor method. We take the principle quantum number in the range;(2 ≤n ≤10 ). For this range we find 26 ...We have calculated the Zeeman-fine energies of atomic Lithium (Li) by using the varying effective Landé g-factor method. We take the principle quantum number in the range;(2 ≤n ≤10 ). For this range we find 26 different energy values and 325 wavelengths some of which are the same. The Doppler shift is found to be Δλ=±0.004λ. The Doppler shift-corrected wavelengths are in perfect agreement with the observed (NIST) values for atomic Li.展开更多
Spin dependent selection rules for photonic transitions in hydrogen-like atoms is derived by using the solution of Dirac equation for hydrogen-like atoms. It is shown that photonic transitions occur when [ Δj=0,±...Spin dependent selection rules for photonic transitions in hydrogen-like atoms is derived by using the solution of Dirac equation for hydrogen-like atoms. It is shown that photonic transitions occur when [ Δj=0,±1,±2, while Δmj=0,±1,±2 ]. By applying the spin dependent selection rules, we can explain the observed (6s→7s) transition in Cesium (Cs) atom.展开更多
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 × 1013 T. In the present study we calculate the spinning speed of a free electron in the...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 × 1013 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).展开更多
The spinning period for a free electron and the periods of spin and orbital motion of the electron in an atomic state have been calculated. We have shown that for a free electron the spinning period is: (Ts)free=1.9&#...The spinning period for a free electron and the periods of spin and orbital motion of the electron in an atomic state have been calculated. We have shown that for a free electron the spinning period is: (Ts)free=1.9×10-20s. But in the atomic case we show that, both the spin and the orbital periods depend on the quantum numbers n, ml, ms and the effective Landé-g factor, g* which is a function of the quantum number l of the atomic state given in Dirac notation. We have also calculated these periods for the ground state and some excited states—hydrogen and hydrogen-like atoms. For atomic states the approximate values of spinning period are and the related orbital periods are: (T0)atomic=(10-16-10-15)s. Therefore atto-second processes which are related to the pulse of 10-18 s will filter the orbital motion of the electron but will be long enough to detect the details of the spin motion, such as flip-flops.展开更多
We have calculated the effective g-factor for the transitions in hydrogen-like atoms and applied it to atomic cesium. We have identified that not only the g* factor in this case is an integer number g* = 1, but also t...We have calculated the effective g-factor for the transitions in hydrogen-like atoms and applied it to atomic cesium. We have identified that not only the g* factor in this case is an integer number g* = 1, but also the existence of possible entangled states related to the above tran-sitions. Furthermore we have used the above result to calculate the transition energies which are in complete agreement (within the 1% margin error). Such results can give access to the production of new laser lights from atomic cesium.展开更多
We show that the electron-positron annihilation process resulting with the creation of two gamma photons cannot be fully determined without the conservation of the angular momentum which has two elements, namely, the ...We show that the electron-positron annihilation process resulting with the creation of two gamma photons cannot be fully determined without the conservation of the angular momentum which has two elements, namely, the conservation of the spin angular momentum and the conservation of the quantum flux which work as the conservation of the magnetic moments as well. The conservation of the quantum flux has never been considered so far for any collision process. We show that the missing conservation rule in the above process is the conservation of the total quantum flux which is the hidden variable of that process. By using the quantum entanglement together with the conservation of the quantum flux we show that the initial and the final states of this collision are fully determined. We also show that each of the gamma photons created in the end carries a quantum flux of ±Φ=±hc/e?with itself along the propagation direction. Here the (+) and (−) signs correspond to the right hand and left circular helicity, respectively.展开更多
We calculate the canonical angular momentum of a free electron, positron and gamma photon. We show that for any particle with charge q the canonical angular momentum (J<sub>c</sub>) is written as the summa...We calculate the canonical angular momentum of a free electron, positron and gamma photon. We show that for any particle with charge q the canonical angular momentum (J<sub>c</sub>) is written as the summation of the kinetic angular momentum (J<sub>kin</sub>) and the intrinsic quantum flux dependent terms. In terms of the z-components this can be written as . For a free electron (e<sup>-</sup>) and a positron (e<sup>+</sup>) depending on the spin orientation we find that:;;and respectively. Similarly for a gamma (γ) photon, propagating in z direction with an angular frequency ω, the canonical angular momentum is found to be: , here the (+) and (-) signs stand for the right and left hand circular helicity respectively.展开更多
文摘We have calculated the Zeeman-fine energies of atomic Lithium (Li) by using the varying effective Landé g-factor method. We take the principle quantum number in the range;(2 ≤n ≤10 ). For this range we find 26 different energy values and 325 wavelengths some of which are the same. The Doppler shift is found to be Δλ=±0.004λ. The Doppler shift-corrected wavelengths are in perfect agreement with the observed (NIST) values for atomic Li.
文摘Spin dependent selection rules for photonic transitions in hydrogen-like atoms is derived by using the solution of Dirac equation for hydrogen-like atoms. It is shown that photonic transitions occur when [ Δj=0,±1,±2, while Δmj=0,±1,±2 ]. By applying the spin dependent selection rules, we can explain the observed (6s→7s) transition in Cesium (Cs) atom.
文摘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 × 1013 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).
文摘The spinning period for a free electron and the periods of spin and orbital motion of the electron in an atomic state have been calculated. We have shown that for a free electron the spinning period is: (Ts)free=1.9×10-20s. But in the atomic case we show that, both the spin and the orbital periods depend on the quantum numbers n, ml, ms and the effective Landé-g factor, g* which is a function of the quantum number l of the atomic state given in Dirac notation. We have also calculated these periods for the ground state and some excited states—hydrogen and hydrogen-like atoms. For atomic states the approximate values of spinning period are and the related orbital periods are: (T0)atomic=(10-16-10-15)s. Therefore atto-second processes which are related to the pulse of 10-18 s will filter the orbital motion of the electron but will be long enough to detect the details of the spin motion, such as flip-flops.
文摘We have calculated the effective g-factor for the transitions in hydrogen-like atoms and applied it to atomic cesium. We have identified that not only the g* factor in this case is an integer number g* = 1, but also the existence of possible entangled states related to the above tran-sitions. Furthermore we have used the above result to calculate the transition energies which are in complete agreement (within the 1% margin error). Such results can give access to the production of new laser lights from atomic cesium.
文摘We show that the electron-positron annihilation process resulting with the creation of two gamma photons cannot be fully determined without the conservation of the angular momentum which has two elements, namely, the conservation of the spin angular momentum and the conservation of the quantum flux which work as the conservation of the magnetic moments as well. The conservation of the quantum flux has never been considered so far for any collision process. We show that the missing conservation rule in the above process is the conservation of the total quantum flux which is the hidden variable of that process. By using the quantum entanglement together with the conservation of the quantum flux we show that the initial and the final states of this collision are fully determined. We also show that each of the gamma photons created in the end carries a quantum flux of ±Φ=±hc/e?with itself along the propagation direction. Here the (+) and (−) signs correspond to the right hand and left circular helicity, respectively.
文摘We calculate the canonical angular momentum of a free electron, positron and gamma photon. We show that for any particle with charge q the canonical angular momentum (J<sub>c</sub>) is written as the summation of the kinetic angular momentum (J<sub>kin</sub>) and the intrinsic quantum flux dependent terms. In terms of the z-components this can be written as . For a free electron (e<sup>-</sup>) and a positron (e<sup>+</sup>) depending on the spin orientation we find that:;;and respectively. Similarly for a gamma (γ) photon, propagating in z direction with an angular frequency ω, the canonical angular momentum is found to be: , here the (+) and (-) signs stand for the right and left hand circular helicity respectively.
