Short-time path integral approximation supports Born-Jordan quantization only for quadratic-momentum Hamiltonians with constant mass; Weyl rule agrees for that class.
Schulman, Techniques and applications of path integration (Wiley, New York, 1981)
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Is Born-Jordan really the universal Path Integral Quantization Rule?
Short-time path integral approximation supports Born-Jordan quantization only for quadratic-momentum Hamiltonians with constant mass; Weyl rule agrees for that class.