Self-adjoint quantization of Stäckel integrable systems
arXiv:2501.18082 · doi:10.1088/1751-8121/adf786
Abstract
We show that quadratic Hamiltonians in involution coming from a Stäckel 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].
10 pages