Non-relativistic Pauli--Fierz Hamiltonian for less than two photons

2020/07/18 by D. Dayantsolmon, Dayantsolmon, D., A. Galtbayar +1
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2007.09324

openalex publication_date 2020/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Pauli--Fierz model, which describes a particle (an electron) coupled to the quantized electromagnetic field and limit the number of photons to less than 2. By computing \redthe resolvent explicitly, we located the spectrum of the Hamiltonian mass. Our results do not depend on the coupling constant e nor on the infrared cutoff parameter R.

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