Quantization commutes with reduction

ID: quantization-commutes-with-reduction

In mathematical physics and the theory of quantization, the statement that "quantization commutes with reduction" refers to a relationship between two processes: the reduction of symmetries in a classical system and the process of quantizing that system. To unpack this concept: 1. **Symmetry Reduction**: In classical mechanics, many systems possess symmetries described by a group of transformations (e.g., rotations, translations).

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