The spectral determinant for second order elliptic operators on the real line
Abstract
We derive an expression for the spectral determinant of a second-order elliptic differential operator T defined on the whole real line, in terms of the Wronskians of two particular solutions of the equation T u=0. 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.