Theoretical Nanophysics 5

Definition: U is antiunitary, if it is ...

Which operation is represented by an anti-unitary operator in quantum mechanics?

• translation

• rotation

• spatial inversion (parity)

• time reversal

According to the lecture, which one is the defining property of the time reversal operation?

• x is mapped to x, p is mapped to p

• x is mapped to x, p is mapped to -p

• x is mapped to -x, p is mapped to p

• x is mapped to -x, p is mapped to -p

When do you call an operator T a time-reversal symmetry of the Hamiltonian H?

• if T is unitary and commutes with H

• if T is antiunitary and commutes with H

• if T is unitary and anticommutes with H

• if T is antiunitary and anticommutes with H

• orthogonal

• antiunitary

• real and symmetric

• imaginary and antisymmetric