An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis

Abstract

According to Wigner theorem, transformations of quantum states which preserve the probabilities are either unitary or antiunitary. This short communication presents an elementary proof of this theorem that significantly departs from the numerous ones already existing in the literature. The main line of the argument remains valid even in quantum field theory where Hilbert spaces are non-separable.

References in corpus (1)

• Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics

Cited by in corpus (5)

• An elementary proof for the non-bijective version of Wigner's theorem
• Applications of Noether conservation theorem to Hamiltonian systems
• Reflections on the four facets of symmetry: how physics exemplifies rational thinking
• Supercomputer simulations of transmon quantum computers
• Enlargement of symmetry groups in physics: a practitioner's guide