On lower bound estimates for the energy spectrum of the Fröhlich polaron model
Journal Article
·
· Physics of Particles and Nuclei
Method of intermediate problems was applied to investigation of the energy spectrum of the Fröhlich polaron model. It was shown that various infinite sequences of non-decreasing improvable lower bound estimates for the low-lying branch of the slow-moving polaron excitation energy spectral curve adjacent to the ground state energy can be derived for arbitrary values of the electron-phonon interaction constant. These bound estimates allow for explicit numerical evaluation at all orders. In conjunction with numerous well-known upper bound estimates for the energy spectral curve of the Fröhlich polaron as a function of the interaction constant and the polaron total momentum, the aforesaid improvable lower bound estimates might provide one with virtually precise magnitude for the energy of the slow-moving polaron. Possible generalization to the case of the Fröhlich polaron in external magnetic field is outlined.
- OSTI ID:
- 22975023
- Journal Information:
- Physics of Particles and Nuclei, Journal Name: Physics of Particles and Nuclei Journal Issue: 7 Vol. 41; ISSN 1063-7796
- Country of Publication:
- United States
- Language:
- English
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