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

**Authors:** Orif O. Ibrogimov

arXiv: 1902.05549 · 2019-02-26

## TL;DR

This paper proves that in a specific quantum model with two photons, there can be at most two bound states when the interaction is strong, under minimal regularity assumptions.

## Contribution

It establishes a bound on the number of bound states in the spin-boson model with two photons, addressing a problem posed by Minlos and Spohn.

## Key findings

- Maximum of two bound states for strong coupling
- Results hold under minimal regularity conditions
- Addresses a longstanding problem in quantum physics

## 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.

## Full text

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## References

15 references — full list in the complete paper: https://tomesphere.com/paper/1902.05549/full.md

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Source: https://tomesphere.com/paper/1902.05549