The linear polaron model is an excellent example of an exactly soluble, yet nontrivial polaron system. It serves as a trial system or zero-level approximation in many sophisticated methods of polaron investigation. This book analyzes, in particular, the possibility of reduction of the full polaron Hamiltonian to the linear one, and introduces a special method of calculating thermodynamical characteristics based on the calculation of the averages of T-products. This T-product formalism seems to be a more convenient way of doing similar calculations involving Feynman’s path integral approach. This book follows a step-by-step approach, from comparatively simple physical ideas to a clear understanding of sophisticated mathematical tools of investigation in modern polaron physics. The reader is able to compare the physical point of view with methods proposed in the book, and at the same time grasp the underlying mathematics. Some familiarity with quantum statistical mechanics is desirable in reading this book. Key Features • Presents a viable alternative approach to the path integration method for polaron studies • Introduces an effective auxiliary approximation, i.e. the so-called linear polaron model, which is used consistently throughout the book in the treatment of equilibrium and nonequilibrium polaron problems • Written in a style that allows easy understanding of difficult conceptual problems of polaron physics in conjunction with complicated underlying mathematical tools of research, even for beginners in theoretical and mathematical physics • Outlines the basic concepts and ensures ease of reading, but is also deep enough to be interesting for experts in the field

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