This number results from applying a quantum state’s ket to its corresponding bra. (10[1]-5[1])QED (10[1])is an abelian gauge (10[1])theory (10[2])that is described by a unitary group (-5[1])of this degree. (10[2]-5[1])Vector bosons like gluons and photons (10[1])must have spins equal to (-5[1])this (10[1])number. (10[5]-5[3])To obey the Born (-5[1])rule, (-5[2])the integral of the product of the (-5[1])wavefunction (10[1])and its (10[1])complex conjugate must (10[1])equal (10[2])this number. (10[1]-5[1])The Lyman series (-5[1])corresponds to setting (10[2])n_1 (10[1])(“n-sub-one”) equal to this number in the Rydberg formula, which describes an atom with this many (-5[1])protons. (10[7])This number is (10[1])the atomic (10[1])number of the only element with (10[1])analytic solutions. (10[3])For 10 points, give this number of protons found in (10[1])a hydrogen (10[3])atom. (10[7])■END■ (10[13]0[1])