Basis Quantization Approach To The Hydrogen Atom System

Basis Light-front Quantization is a nonperturbative quantum field theory framework in light-front coordinates.For the atomic system,the advantage of light-front coordinate is not obvious compared with the usual coordinate.In this work,the basic quantization method in usual coordinates is developed.Starting from the basization of field operator,the bound state problem is calculated by solving the Hamiltonian eigenequation,and this approach is applied to hydrogen atom system.The theoretical scheme is given in order to explore the Ab initio calculation of atomic system in the view of field theory.In this paper,the Hamiltonian of hydrogen atom is given,and the detailed form of matrix element is derived.By solving the eigenequation of the Hamiltonian of the hydrogen atom system,the computable energy levels and wave functions are obtained.For the self-energy term introduced by photons,a renormalization scheme is given,and the self-energy correction is obtained.Limited by the computation,the truncated Fock space in this work only includes two Fock sectors |ep>and |epγ>.In this truncation,a calculation program is written to try to calculate the bound state energy level of hydrogen atom.For the diagonalization problem of large-scale Hamiltonian matrix,several possible simplification schemes are given.