Download this article
 Download this article For screen
For printing
Recent Issues
Volume 7, Issue 3
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 4
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 2690-1005 (online)
ISSN 2690-0998 (print)
Author Index
To Appear
 
Other MSP Journals
Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling

Morris Brooks and David Mitrouskas

Vol. 6 (2025), No. 1, 281–325
Abstract

We consider the confined Fröhlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach, involving expansions around the electron Pekar minimizer and the excitations of the quantum field.

Keywords
polaron, strong coupling, eigenvalue expansion
Mathematical Subject Classification
Primary: 81V70
Secondary: 81Q10
Milestones
Received: 9 July 2024
Accepted: 29 October 2024
Published: 23 February 2025
Authors
Morris Brooks
Institute for Mathematics
University of Zurich
Zurich
Switzerland
David Mitrouskas
Institute of Science and Technology Austria
Klosterneuburg
Austria