Spirina, E. Yu.; Khrustalev, O. A.; Chichikina, M. V. Nonstationary polaron. (English. Russian original) Zbl 0969.81055 Theor. Math. Phys. 122, No. 3, 347-354 (2000); translation from Teor. Mat. Fiz. 122, No. 3, 417-425 (2000). Summary: We define the Bogoliubov group variables for the space-time translations in the secondarily quantized system. We propose a scheme for quantizing a scalar field that has a nonzero classical component and interacts with a charged scalar field. The polaron is treated as a result of the interaction of the charged particle with the classical component of the neutral field. MSC: 81T70 Quantization in field theory; cohomological methods Keywords:Bogoliubov group variables; space-time translations; secondarily quantized system; quantizing a scalar field; charged scalar field PDFBibTeX XMLCite \textit{E. Yu. Spirina} et al., Theor. Math. Phys. 122, No. 3, 1 (2000; Zbl 0969.81055); translation from Teor. Mat. Fiz. 122, No. 3, 417--425 (2000) Full Text: DOI References: [1] N. N. Bogoliubov,Ukr. Mat. Zh.,2, 3–24 (1950). [2] E. P. Solodovnikova, A. N. Tavkhelidze, and O. A. Khrustalev,Theor. Math. Phys.,10, 105–118 (1972);11, 537–546 (1972);12, 731–741 (1972). [3] O. D. Timofeevskaya,Theor. Math. Phys.,54, 303–306 (1983). [4] N. H. Christ and T. D. Lee,Phys. Rev. D,12, 1606–1627 (1975). [5] E. Tomboulis,Phys. Rev. D,12, 1678–1683 (1975). [6] M. Greutz,Phys. Rev. D,12, 3126–3144 (1975). [7] A. V. Shurgaya,Theor. Math. Phys.,28, 745–750 (1976). [8] K. A. Sveshnikov,Theor. Math. Phys.,55, 553–568 (1985);74, 251–264 (1988). [9] K. A. Sveshnikov, P. K. Silaev, and O. A. Khrustalev,Theor. Math. Phys.,80, 790–804 (1989). · Zbl 0699.53088 [10] O. A. Khrustalev, A. V. Razumov, and A. Yu. Taranov,Nucl. Phys. B,172, 44–58 (1980). [11] O. A. Khrustalev and M. V. Chichikina,Theor. Math. Phys.,111, 583–591, 723–730 (1997). · Zbl 0978.81516 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.