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"Topological" (Chern-Simons) quantum mechanics
Phys. Rev. D 41, 661 – Published 15 January, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.661
Abstract
We construct quantum-mechanical models that are analogs of three-dimensional, topologically massive as well as Chern-Simons gauge-field theories, and we study the phase-space reductive limiting procedure that takes the former to the latter. The zero-point spectra of operators behave discontinuously in the limit, as a consequence of a nonperturbative quantum-mechanical anomaly. The nature of the limit for wave functions depends on the representation, but is always such that normalization is preserved.
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Omitted endnote
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