Modern Quantum Theory

a₁ amplitude antisymmetric assume atom charge classical commutation relations complex conjugate components conservation coordinate system corresponding d³p d³r d³x defined definition density differential discussion dynamical system dynamical variables eigenfunctions eigenstates eigenvalues eigenvectors electron energy equations of motion example finite formulation four-dimensional given Hamiltonian harmonic oscillator Hence Hermitian operator infinitesimal integral equation interaction invariant lepton linear Hermitian operators linear operator Lorentz group Lorentz matrix Lorentz transformations magnetic matrix elements matrix representation momenta momentum operator neutrino neutron observable obtain orthogonal transformation orthonormal parity photon Phys plane wave Poisson bracket polar position probability properties quantization quantum mechanics quantum number radiation relativistic represented respectively satisfies scalar product scattering Schrödinger's equation solutions space spinor symmetry theory tion transformation function transformation operator unit operator unitary operator unitary transformation vector velocity wave equation wave function zero