Geodesic
Nonlinear Nonstationary Schr\"odinger Equation for the Problem of a~Bose--Einstein Condensate of Dilute Gases Interacting with an Electromagnetic Field
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 3, pp. 449-461

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We derive the Schrödinger equation describing the coupling of the Bose–Einstein condensate of an ideal gas to an electromagnetic field. Its solutions allow finding the evolution of the radiation intensity and of populations of coherent atomic states with different values of the recoil momenta and can be used to describe a number of effects including light scattering and amplification, amplification of an atom beam (atom laser), and induced transparency.
Keywords: Bose–Einstein condensate, superradiant scattering, coherent amplification, reduction of light velocity, atom laser. 
@article{TMF_2004_139_3_a6,
     author = {E. D. Trifonov},
     title = {Nonlinear {Nonstationary} {Schr\"odinger} {Equation} for the {Problem} of {a~Bose--Einstein} {Condensate} of {Dilute} {Gases} {Interacting} with an {Electromagnetic} {Field}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {449--461},
     publisher = {mathdoc},
     volume = {139},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_3_a6/}
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E. D. Trifonov. Nonlinear Nonstationary Schr\"odinger Equation for the Problem of a~Bose--Einstein Condensate of Dilute Gases Interacting with an Electromagnetic Field. Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 3, pp. 449-461. http://geodesic.mathdoc.fr/item/TMF_2004_139_3_a6/