Journal
ANALYSIS & PDE
Volume 10, Issue 2, Pages 379-422Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/apde.2017.10.379
Keywords
polaron; dynamics; quantized field
Categories
Funding
- NSF [PHY-1347399, DMS-1363432, DMS-1308985, DMS-1443225]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1801387] Funding Source: National Science Foundation
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Frohlich's polaron Hamiltonian describes an electron coupled to the quantized phonon field of an ionic crystal. We show that in the strong coupling limit the dynamics of the polaron are approximated by an effective nonlinear partial differential equation due to Landau and Pekar, in which the phonon field is treated as a classical field.
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