Calculation of the Effective G-Factor for the (ns^{2}S_{1/2})→(np^{2}P_{3/2})→(n's^{2}S_{1/2}) Transitions in Hydrogen-Like Atoms and Its Application to the Atomic Cesium

ABSTRACT

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.

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.

Cite this paper

Z. Saglam, S. Bayram and M. Saglam, "Calculation of the Effective G-Factor for the (ns^{2}S_{1/2})→(np^{2}P_{3/2})→(n's^{2}S_{1/2}) Transitions in Hydrogen-Like Atoms and Its Application to the Atomic Cesium," *Journal of Modern Physics*, Vol. 1 No. 6, 2010, pp. 399-404. doi: 10.4236/jmp.2010.16057.

Z. Saglam, S. Bayram and M. Saglam, "Calculation of the Effective G-Factor for the (ns

References

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[3] Z. Merali, “Vibrating Ions Get Entangled,” Nature, 2009. Internet Available: http://www.nature.com/news/2009/ 090603/full/news.2009.540.html

[4] S. B. Bayram, S. Kin, M. J. Welsh and J. D. Hinkle, “Collisional Depolarization of Zeeman Coherences in the 133Cs 6p 2P3/2 Level: Double-resonance Two-photon Polarization Spectroscopy,” Physical Review A (Atomic, Molecular, and Optical Physics), Vol. 73, No. 4, 2006, pp. 42713-1-6.

[5] M. Saglam, Z. Saglam, B. Boyacioglu and K. K. Wan, “Quantized Magnetic Flux Through the Excited State Orbits of Hydrogen Atom,” Journal of Russian Laser Research, Vol. 28, No. 3, 2007, pp. 267-271.

[6] M. Saglam, B. Boyac?oglu and Z. Saglam, “Spin-Flip Investigation of 1s-2p and 2p-3d Transitions of Dirac Hydrogen Atom in Terms of the Flux-quantization Argument,” Journal of Russian Laser Research, Vol. 28, No. 4, 2007, pp. 377-382.

[7] M. Saglam, B. Boyacioglu and Z. Saglam, “Spin Dependent Selection Rules for Dipole Transitions in Hydrogen Atom,” The Journal of Old and New Concepts in Physics, Vol. 3, 2006, pp. 181-189.

[8] Z. Saglam and M. Saglam, “Quantized Magnetic Flux through the Electronic Orbits of Dirac Hydrogen Atom and its Relation with the Spin Dependent Selection Rules and Photons Intrinsic Flux,” Journal of Physics: Conference Series, Vol. 194, 2009.

[9] G. Drake, “Handbook of Atomic, Molecular and Optical Physics,” Springer, New York, 2006.

[10] E. Purcell, “Electricity and Magnetism,” Berkley Physics Course, 2nd Edition, McGraw Hill, New York, 1985.

[11] G. Sahin and M. Saglam, “Calculation of the Magnetic Moment of the Photon,” Journal of Physics: Conference Series, Vol. 194, 2009.

[12] M. Saglam and G. Sahin, “Photon in the Frame of the Current Loop Model,” International Journal of Modern Physics B, Vol. 23, No. 24, 2009, pp. 4977-4985.

[13] A. Radzig and B. M. Simirnow, “Reference Data on At-oms, Molecules and Ions,” Springer-Verlag, Berlin, 1985.

[14] M. Born, “Atomic Physics,” 7th Edition, Hafner, New York, 1962.

[15] C. Kittel, “An Introduction to Solid State Physics,” 8th Edition, John Wiley & Sons Ltd., Chichester, 2004.

[16] M. Saglam and B. Boyacioglu, “The Absence of the Decimal g-Factor,” Physica Status Solidi B, Vol. 230, No. 1, 2002, pp. 133-142.

[17] M. Saglam, “Flux Quantization Associated with Electron Spin for Correlated Electron System in QHE,” Physica E, Vol. 17, 2003, pp. 345-346.

[18] I. N. Levine, “Quantum Chemistry”, 5th Edition, Pren-tice-Hall, New Jersey, 2000.

[1] J. Guena, D. Chauvat, P. Jacquier, M. Lintz, M. D. Plimmer and M. A. Bouchiat, “Sensitive Pulsed Pump-probe Atomic Polarimetry for Parity-violation Measurements in Caesium,” Journal of Quantum and Semiclassical Optics, Vol. 10, No. 6, 1998, pp. 733-752.

[2] R. Lipkin, “Cesium Atoms for Optical Computers,” Sci-ence News, Vol. 146, No. 14, 1994, pp. 214-215.

[3] Z. Merali, “Vibrating Ions Get Entangled,” Nature, 2009. Internet Available: http://www.nature.com/news/2009/ 090603/full/news.2009.540.html

[4] S. B. Bayram, S. Kin, M. J. Welsh and J. D. Hinkle, “Collisional Depolarization of Zeeman Coherences in the 133Cs 6p 2P3/2 Level: Double-resonance Two-photon Polarization Spectroscopy,” Physical Review A (Atomic, Molecular, and Optical Physics), Vol. 73, No. 4, 2006, pp. 42713-1-6.

[5] M. Saglam, Z. Saglam, B. Boyacioglu and K. K. Wan, “Quantized Magnetic Flux Through the Excited State Orbits of Hydrogen Atom,” Journal of Russian Laser Research, Vol. 28, No. 3, 2007, pp. 267-271.

[6] M. Saglam, B. Boyac?oglu and Z. Saglam, “Spin-Flip Investigation of 1s-2p and 2p-3d Transitions of Dirac Hydrogen Atom in Terms of the Flux-quantization Argument,” Journal of Russian Laser Research, Vol. 28, No. 4, 2007, pp. 377-382.

[7] M. Saglam, B. Boyacioglu and Z. Saglam, “Spin Dependent Selection Rules for Dipole Transitions in Hydrogen Atom,” The Journal of Old and New Concepts in Physics, Vol. 3, 2006, pp. 181-189.

[8] Z. Saglam and M. Saglam, “Quantized Magnetic Flux through the Electronic Orbits of Dirac Hydrogen Atom and its Relation with the Spin Dependent Selection Rules and Photons Intrinsic Flux,” Journal of Physics: Conference Series, Vol. 194, 2009.

[9] G. Drake, “Handbook of Atomic, Molecular and Optical Physics,” Springer, New York, 2006.

[10] E. Purcell, “Electricity and Magnetism,” Berkley Physics Course, 2nd Edition, McGraw Hill, New York, 1985.

[11] G. Sahin and M. Saglam, “Calculation of the Magnetic Moment of the Photon,” Journal of Physics: Conference Series, Vol. 194, 2009.

[12] M. Saglam and G. Sahin, “Photon in the Frame of the Current Loop Model,” International Journal of Modern Physics B, Vol. 23, No. 24, 2009, pp. 4977-4985.

[13] A. Radzig and B. M. Simirnow, “Reference Data on At-oms, Molecules and Ions,” Springer-Verlag, Berlin, 1985.

[14] M. Born, “Atomic Physics,” 7th Edition, Hafner, New York, 1962.

[15] C. Kittel, “An Introduction to Solid State Physics,” 8th Edition, John Wiley & Sons Ltd., Chichester, 2004.

[16] M. Saglam and B. Boyacioglu, “The Absence of the Decimal g-Factor,” Physica Status Solidi B, Vol. 230, No. 1, 2002, pp. 133-142.

[17] M. Saglam, “Flux Quantization Associated with Electron Spin for Correlated Electron System in QHE,” Physica E, Vol. 17, 2003, pp. 345-346.

[18] I. N. Levine, “Quantum Chemistry”, 5th Edition, Pren-tice-Hall, New Jersey, 2000.