Symmetry of bipolaron bound states for small Coulomb repulsion

Abstract

We consider the bipolaron in the Pekar--Tomasevich approximation and address the question whether the ground state is spherically symmetric or not. Numerical analysis has, so far, not completely settled the question. Our contribution is to prove rigorously that the ground state remains spherical for small values of the electron-electron Coulomb repulsion.

17 pages

References in corpus (3)

• Geometric methods for nonlinear many-body quantum systems
• The bipolaron in the strong coupling limit
• On the Magnetic Pekar Functional and the Existence of Bipolarons

Cited by in corpus (6)

• Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
• On uniqueness and non-degeneracy of anisotropic polarons
• Validity of Bogoliubov's approximation for translation-invariant Bose gases
• The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics
• On the ground-state wave function of the one-dimensional polaron in the strong-coupling limit
• Monotonicity of the polaron energy