Question

A bijection involving one-parameter families of strongly continuous functions with this property is given by Stone’s theorem. The existence of a projective representation of the Poincaré group with this property is one of the Wightman axioms. This is the shorter-named of two properties that an operator can have to be compatible with a symmetry transformation on a Hilbert space by Wigner’s theorem. This property is held by operators of the form (*) e to the negative “i times t over h-bar times a Hamiltonian”, such (10[1])as a state’s time-evolution operator. Quantum gates (10[1])can be represented by matrices with this property, which is the complex-valued equivalent of orthogonality. Matrices with (-5[1])this property preserve inner products and satisfy the equation “M*M (“M-star M”) equals the identity.” (-5[1])For 10 points, name this (-5[1])property of matrices in the group U(n) ■END■ (0[3])

ANSWER: unitary [or unitarity] (Wigner’s theorem states that the operator must either be unitary or anti-unitary.)
<Morrison, Physics>
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Eylon Caplanmalcolm in the middlemarch (Purdue 1)Oh the Missouri8310
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Shardul Parthasarathy2 days into college and I'm 3 lectures behindpurdoobie brothers107-5
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