Monotonicity of the polaron energy II:General theory of operator monotonicity

Abstract

We construct a general theory of operator monotonicity and apply it to the Fröhlich polaron hamiltonian. This general theory provides a consistent viewpoint of the Fröhlich model.

24 pages

References in corpus (4)

• The bipolaron in the strong coupling limit
• The translation invariant massive Nelson model: III. Asymptotic completeness below the two-boson threshold
• The ground state energy of the multi-polaron in the strong coupling limit
• Monotonicity of the polaron energy

Cited by in corpus (6)

• Quantum Griffiths inequalities
• Nagaoka's theorem in the Holstein-Hubbard model
• Rigorous results concerning the Holstein--Hubbard model
• Correlation inequalities for Schrödinger operators
• On renormalized Hamiltonian nets
• On the semigroup generated by the renormalized Nelson Hamiltonian