Self-adjoint quantization of St\"ackel integrable systems
Differential Geometry
2026-04-07 v2 Mathematical Physics
math.MP
Abstract
We show that quadratic Hamiltonians in involution coming from a St\"ackel system are quantizable, in the sense that one can construct commutative self-adjoint operators whose symbols are the quadratic Hamiltonians. Moreover, they allow multiplicative separation of variables. This proves a conjecture explicitly formulated in [3].
Cite
@article{arxiv.2501.18082,
title = {Self-adjoint quantization of St\"ackel integrable systems},
author = {Jonathan M Kress and Vladimir Matveev},
journal= {arXiv preprint arXiv:2501.18082},
year = {2026}
}
Comments
10 pages