The spherical Whittaker Inversion Theorem and the quantum non-periodic Toda Lattice
Representation Theory
2023-06-23 v3 Exactly Solvable and Integrable Systems
Abstract
In this paper the spherical case of the Whittaker Inversion Theorem is given a relatively self-contained proof. This special case can be used as a help in deciphering the handling of the continuous spectrum in the proof of the full theorem. It also leads directly to the solution of the quantum non-periodic Toda Lattice. This is also explained in detail in this paper.
Keywords
Cite
@article{arxiv.2303.11256,
title = {The spherical Whittaker Inversion Theorem and the quantum non-periodic Toda Lattice},
author = {Nolan R. Wallach},
journal= {arXiv preprint arXiv:2303.11256},
year = {2023}
}
Comments
This revision fixes some typos and adds a new theorem reducing the study of spherical Whittaker functions to the case of split semi-simple Lie groups