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

Orif O. Ibrogimov

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arXiv · 1902.05549

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

Orif O. Ibrogimov

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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 $\mathbb{R}^d$ cannot have more than two bound state energies whenever the coupling strength is sufficiently strong.

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Orif O. Ibrogimov. 2019-02-14. Discrete eigenvalues of the spin-boson Hamiltonian with two photons: on a problem of Minlos and Spohn. https://arxiv.org/abs/1902.05549

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