Discrete eigenvalues of the spin-boson Hamiltonian with two photons: on a problem of Minlos and Spohn

2019/02/14 by Orif O. Ibrogimov, Ibrogimov, Orif O.
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1902.05549

Abstract

Under minimal regularity conditions on the photon dispersion and the coupling function, we prove that the spin-boson model with two massless photons in ℝ^d cannot have more than two bound state energies whenever the coupling strength is sufficiently strong.

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