Quantum Physics

    

Problems with Nontrivial Symmetrizations of Hamiltonian Operators

Authors: Jouni Puuronen

We discover an example of an infinite collection of simple quantum systems that all have the same classical limit, and recognize this as a problem, because the correct quantization of the example classical system is then not known. Our example contradicts Born-Jordan quantization theory, meaning that at least other one must contain a mistake. We discuss the related possible difficulties with the quantum mechanical description of a charged particle in a magnetic field, but eventually conclude that these difficulties maybe are not so severe after all.

Comments: 11 Pages.

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Submission history

[v1] 2026-05-09 08:26:02

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