On the inconsistency of Porsch-R\"oseler cutoff theory. (reply to [arXiv:1208.1166v2])

TL;DR

This paper critically examines Porsch-Röseler cutoff theory, demonstrating that their claimed equivalence to Tulub theory is incorrect and that subsequent results based on their theory are also flawed.

Contribution

It provides a rigorous refutation of the claimed equivalence between Porsch-Röseler cutoff theory and Tulub theory, correcting previous misconceptions.

Findings

Porsch-Röseler theory does not transform into Tulub theory as claimed.

Results derived from Porsch-Röseler theory are shown to be erroneous.

The paper clarifies the correct relationship between the theories.

Abstract

It is shown that the conclusion [arXiv:1208.1166v2] made by Porsch and R\"oseler that their cutoff polaron theory transforms to Tulub theory is erroneous. The results of the work by Klimin and Devreese based on the results of Porsch and R\"oseler theory are erroneous too.