A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems

Note on Wigner's Theorem on Symmetry Operations

V. Bargmann · Journal of Mathematical Physics · 1964 · 336 citations

Symmetric Function, Quantum Science, Detailed Proof +8

The Conceptual Basis and Use of the Geometric Invariance Principles

R. M. F. Houtappel, H. van Dam, E. P. Wigner · Reviews of Modern Physics · 1965 · 169 citations

Integral Geometry, Engineering, Geometry +18

Spectral theory for unitary operators on a quaternionic Hilbert space

C. S. Sharma, T. J. Coulson · Journal of Mathematical Physics · 1987 · 32 citations

Spectral Theory, Spectral Theorem, Unitary Operator +8

Phenomenological Distinction between Unitary and Antiunitary Symmetry Operators

E. P. Wigner · Journal of Mathematical Physics · 1960 · 25 citations · Full text

Spectral Theory, Orthogonal States, Engineering +7

Complex structure on a real Hilbert space and symplectic structure on a complex Hilbert space

C. S. Sharma · Journal of Mathematical Physics · 1988 · 22 citations · Full text

Linear Operator, Representation Theory, Real Hilbert Space +10