Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 104, Issue 8, Pages 911-929Publisher
SPRINGER
DOI: 10.1007/s11005-014-0700-7
Keywords
polaron; dynamics; Schrodinger operator; quantized field
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Funding
- U.S. National Science Foundation [PHY-1347399]
- ERC [MAQD-240518]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1347399] Funding Source: National Science Foundation
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We study the dynamics of large polarons described by the Frohlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as suggested by Pekar. We show that, to leading order on the natural time scale of the problem, the phonon field is stationary and the electron moves according to an effective linear Schrodinger equation.
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