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In physics, particularly in quantum mechanics, an operator is a mathematical object that acts on the elements of a vector space to produce another element within that space. Operators are used to represent physical observables, such as position, momentum, and energy. ### Key Concepts: 1. **Linear Operators**: In quantum mechanics, operators are usually linear.

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  1. Operator theory
  2. Mathematical physics
  3. Applied mathematics
  4. Fields of mathematics
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