Photon wave mechanics and position eigenvectors

摘要: One and two photon wave functions are derived by projecting the quantum state vector onto simultaneous eigenvectors of number operator a recently constructed position [Phys. Rev. A 59, 954 (1999)] that couples spin orbital angular momentum. While only Landau-Peierls function defines positive definite density, similarity transformation to biorthogonal field-potential pair frequency solutions Maxwell's equations preserves eigenvalues expectation values. We show this real space description photons is compatible with all usual rules mechanics provides framework for understanding relationships amongst different forms in literature. It also gives picture optical momentum beams applies both one coherent states. According mechanics, probability count at any space.