Condensed Matter Physics, 2010, vol. 13, No. 4, p. 43701:19
DOI:10.5488/CMP.13.43701
Title:
Infinitely improvable upper bounds in the theory of polarons
Author(s):

A.V. Soldatov
(V.A. Steklov Mathematical Institute, Department of Mechanics, 8 Gubkina Str., 119991 Moscow, Russia)

An infinite convergent sequence of improving nonincreasing upper bounds to the lowlying branch of the slowmoving "physical" Fröhlich polaron groundstate energy spectral curve, adjacent to the ground state energy of the polaron at rest, was obtained by means of generalized variational method. The proposed approach is especially wellsuited for massive analytical and numerical computations of experimentally measurable properties of realistic polarons, such as inverse effective mass tensor and excitation gap, and can be elaborated even further, without major alterations, to allow for treatment of multitudinous polaronlike models, those describing polarons of various sorts placed in external magnetic and electric fields among them.
Key words:
Fröhlich polaron model, upper bound estimates,
variational method, ground state energy
PACS:
71.38.k, 71.38.Fp
