Theory of the multiphoton cascade transitions with two photon links: comparison of quantum electrodynamical and quantum mechanical approaches

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Theory of the multiphoton cascade transitions with two photon links: comparison of quantum electrodynamical and quantum mechanical approaches. / Zalialiutdinov, T.; Baukina, Y.; Solovyev, D.; Labzowsky, L.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 47, No. 11, 2014, p. 115007_1-11.

Research output: Contribution to journal › Article

BibTeX

@article{07e36ff05d164f29a7219b20a61c1f9f,

title = "Theory of the multiphoton cascade transitions with two photon links: comparison of quantum electrodynamical and quantum mechanical approaches",

abstract = "Theory of the multiphoton cascade transitions with two-photon links is considered within two different approaches: Quantum Electrodynamical (QED) and phenomenological Quantum Mechanical (QM). A problem of regularization of the cascade contributions is investigated in detail. It is argued that the correct regularization should include both initial and intermediate level widths in the singular energy denominators. This result follows both from the QED and from the QM approach. Particular transitions $ nl\rightarrow 1s+2\gamma $ with $ nl=3s,\;4s,\;3d,\;4d $ and $ nl\rightarrow 1s+ 3\gamma$ with $ nl=3p,\;4p $ are considered as an examples. The importance of the proper cascade regularization is also demonstrated.",

keywords = "auqntum mechanics, quantum electrdynamics, multiphoton transitions, hydrogen atom, atomic physics",

author = "T. Zalialiutdinov and Y. Baukina and D. Solovyev and L. Labzowsky",

year = "2014",

doi = "10.1088/0953-4075/47/11/115007",

language = "English",

volume = "47",

pages = "115007_1--11",

journal = "Journal of the European Optical Society Part B: Quantum Optics",

issn = "0953-4075",

publisher = "IOP Publishing Ltd.",

number = "11",

}

RIS

TY - JOUR

T1 - Theory of the multiphoton cascade transitions with two photon links: comparison of quantum electrodynamical and quantum mechanical approaches

AU - Zalialiutdinov, T.

AU - Baukina, Y.

AU - Solovyev, D.

AU - Labzowsky, L.

PY - 2014

Y1 - 2014

N2 - Theory of the multiphoton cascade transitions with two-photon links is considered within two different approaches: Quantum Electrodynamical (QED) and phenomenological Quantum Mechanical (QM). A problem of regularization of the cascade contributions is investigated in detail. It is argued that the correct regularization should include both initial and intermediate level widths in the singular energy denominators. This result follows both from the QED and from the QM approach. Particular transitions $ nl\rightarrow 1s+2\gamma $ with $ nl=3s,\;4s,\;3d,\;4d $ and $ nl\rightarrow 1s+ 3\gamma$ with $ nl=3p,\;4p $ are considered as an examples. The importance of the proper cascade regularization is also demonstrated.

AB - Theory of the multiphoton cascade transitions with two-photon links is considered within two different approaches: Quantum Electrodynamical (QED) and phenomenological Quantum Mechanical (QM). A problem of regularization of the cascade contributions is investigated in detail. It is argued that the correct regularization should include both initial and intermediate level widths in the singular energy denominators. This result follows both from the QED and from the QM approach. Particular transitions $ nl\rightarrow 1s+2\gamma $ with $ nl=3s,\;4s,\;3d,\;4d $ and $ nl\rightarrow 1s+ 3\gamma$ with $ nl=3p,\;4p $ are considered as an examples. The importance of the proper cascade regularization is also demonstrated.

KW - auqntum mechanics

KW - quantum electrdynamics

KW - multiphoton transitions

KW - hydrogen atom

KW - atomic physics

U2 - 10.1088/0953-4075/47/11/115007

DO - 10.1088/0953-4075/47/11/115007

M3 - Article

VL - 47

SP - 115007_1-11

JO - Journal of the European Optical Society Part B: Quantum Optics

JF - Journal of the European Optical Society Part B: Quantum Optics

SN - 0953-4075

IS - 11

ER -

ID: 7016339