On the Magnetic Pekar Functional and the Existence of Bipolarons

Abstract

First, this paper proves the existence of a minimizer for the Pekar functional including a constant magnetic field and possibly some additional local fields that are energy reducing. Second, the existence of the aforementioned minimizer is used to establish the binding of polarons in the model of Pekar-Tomasevich including external fields.

13 pages

References in corpus (3)

• Multiple solutions to a magnetic nonlinear Choquard equation
• Geometric methods for nonlinear many-body quantum systems
• The bipolaron in the strong coupling limit

Cited by in corpus (9)

• A guide to the Choquard equation
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• Monotonicity of the polaron energy II:General theory of operator monotonicity
• The Strong-Coupling Polaron in Electromagnetic Fields
• On the ground-state wave function of the one-dimensional polaron in the strong-coupling limit
• Monotonicity of the polaron energy
• The ground state energy of a polaron in a strong magnetic field
• On the Strong Coupling Limit of Many-Polaron Systems in Electromagnetic Fields
• Multiple ${\mathbb{S}}^1$-orbits for the Schrödinger-Newton system