Binding, stability, and non-binding of multi-polaron systems

R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.


Conference Paper | Published
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Abstract
The binding of polarons, or its absence, is an old and subtle topic. After defining the model we state some recent theorems of ours. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U = 2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multi-polaron binding of any kind. We also discuss the Pekar-Tomasevich approximation to the ground state energy, which is valid for large α. Finally, we derive exact results, not reported before, about the one-dimensional toy model introduced by E. P. Gross.
Publishing Year
Date Published
2011-05-26
Page
21 - 32
Conference
QMath: Mathematical Results in Quantum Physics
IST-REx-ID

Cite this

Frank R, Lieb É, Seiringer R, Thomas L. Binding, stability, and non-binding of multi-polaron systems. In: World Scientific Publishing; 2011:21-32. doi:10.1142/9789814350365_0002
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Binding, stability, and non-binding of multi-polaron systems (pp. 21–32). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789814350365_0002
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding, Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific Publishing, 2011. https://doi.org/10.1142/9789814350365_0002.
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Binding, stability, and non-binding of multi-polaron systems,” presented at the QMath: Mathematical Results in Quantum Physics, 2011, pp. 21–32.
Frank R, Lieb É, Seiringer R, Thomas L. 2011. Binding, stability, and non-binding of multi-polaron systems. QMath: Mathematical Results in Quantum Physics 21–32.
Frank, Rupert, et al. Binding, Stability, and Non-Binding of Multi-Polaron Systems. World Scientific Publishing, 2011, pp. 21–32, doi:10.1142/9789814350365_0002.

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