2023/02/03 by И. Д. Феранчук, Feranchuk, I. D., N. Q. San +3
Physics and Astronomy · #Gyrotron and Vacuum Electronics Research #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.2302.01669
openalex publication_date 2023/02/03 · openalex created_date 2023/02/08 · openalex updated_date 2026/07/28
The solution for the large-radius Fröhlich polaron in the Schrödinger representation of the quantum theory is constructed in the entire range of variation of the coupling constant. The energy and the effective mass of the polaron are calculated by simple algebraic transformations and are analogous to the results found by Feynman on the basis of the variational principle for the path-integrals of this system. It allows us to solve the long-lived problem of the inequalities of the functional and operator approaches for the polaron problem. The developed method is important for other models of particle-field interaction including those ones for which the standard perturbation theory is divergent.