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Wigner's Theorem
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Summary
Wigner's Theorem
is a foundational result in
Quantum Mechanics
that states any
Symmetry transformation
of a quantum mechanical system can be represented as either a unitary or anti-
Unitary Operator
on the system's
Hilbert Space
. This theorem underscores the profound connection between symmetry and the
Mathematical Structure Of Quantum Theory
, ensuring that probabilities remain invariant under such transformations.
Concepts
Symmetry In Quantum Mechanics
Unitary Operators
Anti-unitary Operators
Hilbert Space
Quantum State Transformations
Probability Invariance
Quantum Mechanics
Mathematical Structure Of Quantum Theory
Wigner Semicircle Law
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