Journal
PUBLICATIONS MATHEMATIQUES DE L IHES
Volume -, Issue 113, Pages 39-67Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10240-011-0031-5
Keywords
-
Categories
Funding
- US National Science Foundation [PHY-0652854, PHY-0845292]
- PIMS Institute, University of British Columbia
Ask authors/readers for more resources
We resolve several longstanding problems concerning the stability and the absence of multi-particle binding for Na parts per thousand yen2 polarons. Frohlich's 1937 polaron model describes non-relativistic particles interacting with a scalar quantized field with coupling , and with each other by Coulomb repulsion of strength U. We prove the following: (i) While there is a known thermodynamic instability for U < 2 alpha, stability of matter does hold for U > 2 alpha, that is, the ground state energy per particle has a finite limit as N -> a. (ii) There is no binding of any kind if U exceeds a critical value that depends on alpha but not on N. The same results are shown to hold for the Pekar-Tomasevich model.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available