The spectral determinant for second order elliptic operators on the real line
Spectral Theory
2024-05-07 v1
Abstract
We derive an expression for the spectral determinant of a second-order elliptic differential operator defined on the whole real line, in terms of the Wronskians of two particular solutions of the equation . Examples of application of the resulting formula include the explicit calculation of the determinant of harmonic and anharmonic oscillators with an added bounded potential with compact support.
Cite
@article{arxiv.2405.03469,
title = {The spectral determinant for second order elliptic operators on the real line},
author = {Pedro Freitas and Jiří Lipovský},
journal= {arXiv preprint arXiv:2405.03469},
year = {2024}
}
Comments
16 pages, 3 figures