Whittaker quantum universes
H.C. Rosu, J. Socorro
TL;DR
This paper explores the mathematical properties of quantum universes modeled by the Friedmann-Robertson-Walker metric, revealing their connection to the Whittaker equation and related factorization schemes.
Contribution
It demonstrates that quantum universes with radiation obey the Whittaker equation and introduces the Witten factorization and Darboux isospectral schemes for this context.
Findings
Quantum universes obey the Whittaker equation
Formal Witten factorization is presented
Double Darboux isospectral scheme is developed
Abstract
We show that closed, radiation-filled Friedmann-Robertson-Walker quantum universes of arbitrary factor ordering obey the Whittaker equation. We also present the formal Witten factorization as well as the double Darboux strictly isospectral scheme for the Whittaker equation
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Quantum Mechanics and Non-Hermitian Physics