Phys. Rev. D 41, 661–666 (1990)"Topological" (Chern-Simons) quantum mechanicsReceived 14 August 1989; published in the issue dated 15 January 1990 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. © 1990 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.41.661
DOI:
10.1103/PhysRevD.41.661
PACS:
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