Monotonicity of the polaron energy

2012/11/02 by Tadahiro Miyao, Miyao, Tadahiro
Materials Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Magnetism in coordination complexes #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1211.0344

openalex publication_date 2012/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In condensed matter physics, the polaron has been fascinating subject. It is described by the Hamiltonian of H. Fröhlich. In this paper, the Fröhlich Hamiltonian is investigated from a viewpoint of the self-dual cone analysis proposed in Miyao (2011). This point of view clarifies the monotonicity of polaron energy, i.e., denoting the lowest energy of the Fröhlich Hamiltonian with the ultraviolet cutoff Λ by E_Λ, we prove E_Λ>E_Λ' for Λ

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