On Existence of Ground States in the Spin Boson Model
Autor: | David Hasler, Benjamin Hinrichs, Oliver Siebert |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Physics
Coupling constant FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Massless particle Mathematics - Spectral Theory Quantum mechanics Regularization (physics) Bounded function FOS: Mathematics Constant (mathematics) Ground state Spectral Theory (math.SP) Mathematical Physics Spin-½ Boson |
Popis: | We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It works for arbitrary values of the coupling constant under the hypothesis that the second derivative of the ground state energy as a function of a constant external magnetic field is bounded. 14 pages |
Databáze: | OpenAIRE |
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