Are the Weyl and coherent state descriptions physically equivalent?

► Consistency of coherent state (CS) quantization in regard to physical observations in the non-relativistic regime. ► We compare CS quantization with the canonical (or Weyl) quantization. ► We prove that CS quantization and canonical quantization cannot be differentiated on a physical level. ► We prove the validity of CS quantization in the case of data obtained from vibrational spectroscopy.