The spectral determinant for second order elliptic operators on the real line
arXiv:2405.03469
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.
16 pages, 3 figures