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=== Particle in curved space ===
For a particle in curved space the [[kinetic term]] depends on the position, and the above time slicing cannot be applied, this being a manifestation of the notorious [[operator ordering problem]] in Schrödinger quantum mechanics. One may, however, solve this problem by transforming the time-sliced flat-space path integral to curved space using a multivalued coordinate transformation ([[nonholonomic mapping]] explained [http://www.physik.fu-berlin.de/~kleinert/b5/psfiles/pthic10.pdf here]).
=== Measure-theoretic factors ===
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