Geodesic
On upper bounds in the Fr\"ohlich polaron model
Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 293-299

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We show that a sequence of improving upper bounds to the ground state energy of the quantized Fröhlich polaron model can be obtained in a regular way by means of combining a variational method originated from the theory of coherent states with a generalized variational approach in quantum mechanics. Due to their variational nature, these bounds hold for arbitrary strength of the electron-phonon interaction. 
@article{TRSPY_2016_294_a17,
     author = {N. N. Bogolyubov Jr. and A. V. Soldatov},
     title = {On upper bounds in the {Fr\"ohlich} polaron model},
     journal = {Informatics and Automation},
     pages = {293--299},
     publisher = {mathdoc},
     volume = {294},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a17/}
}
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N. N. Bogolyubov Jr.; A. V. Soldatov. On upper bounds in the Fr\"ohlich polaron model. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 293-299. http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a17/