{\displaystyle H_{1}=H_{2}} then U {\displaystyle U} is called an antiunitary operator. Antiunitary operators are important in quantum mechanics because they are used...

or anti-linear operators (if moreover they preserve the norm, then they are unitary or antiunitary operators); the symmetry operator on the projective...

quantum mechanics, the time reversal operation is represented by an antiunitary operator T : H → H {\textstyle T:{\mathcal {H}}\to {\mathcal {H}}} acting...

by a unitary operator, S = U, or an antiunitary one, S = UK where U is unitary, and K denotes complex conjugation. Antiunitary operators arise in quantum...

of time. So every antiunitary symmetry in a theory with positive energy must reverse the direction of time. Every antiunitary operator can be written as...

and isometric. (Use Polarization identity to show the only if part.) Antiunitary – Bijective antilinear map between two complex Hilbert spacesPages displaying...

absolute value of the inner products can be represented by a unitary or antiunitary transformation of Hilbert space, which is unique up to a phase factor...

square of the center-of-mass energy. (See Mandelstam variables) Antiunitary operator the Born rule Probability axioms Quantum channel Stone's theorem...

Hilbert space, and then it is also called a unitary operator. A closely related notion is that of antiunitary transformation, which is a bijective function...

are anticommuting matrices). Time-reversal symmetry (TRS) is an antiunitary operator T {\displaystyle T} , that acts on α c i {\displaystyle \alpha c_{i}}...

laws in quantum mechanics, the requisite automorphisms are unitary (or antiunitary) linear transformations of the Hilbert space V. Under Galilean relativity...

will be represented projectively on Hilbert space by unitary or antiunitary operators. This is often dealt with by passing to the universal covering group...

and P {\displaystyle P} are linear, unitary operators, T {\displaystyle T} is antilinear and antiunitary, ⟨ Ψ | T Φ ⟩ = ⟨ Φ | T − 1 Ψ ⟩ {\displaystyle...

symmetries and matrices was shown by Eugene Wigner to be complete, if antiunitary matrices which describe symmetries which include time-reversal are included...

negative energy −E. Such states do not exist. The operator Π(T) is therefore chosen antilinear and antiunitary, so that it anticommutes with i, resulting in...

model. These are transformations such as (12)(3)(4), which correspond to antiunitary maps on Hilbert space. These are not allowed in a continuous model, however...

acts affinely upon Euclidean space. corepresentations of unitary and antiunitary groups: in the category of complex vector spaces with morphisms being...

antilinear operators as well as linear operators. They need to be dealt with using Wigner's theory of corepresentations of unitary and antiunitary groups...

Representations 1966 Unitary and Antiunitary Ray Representations of the Product of N Commuting Parity Operators 1967 Tensor Operators and Mass Formula in the Minimal...