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Transformation theory in quantum mechanics is a framework for understanding how physical systems evolve over time and how they are described mathematically. It primarily addresses the relationship between different representations of a quantum state, particularly in the context of how quantum states change under various transformations. The core concepts of transformation theory can be summarized as follows: 1. **State Representation**: In quantum mechanics, the state of a system can be described using wave functions (in the position representation) or state vectors in a Hilbert space.

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