2014/02/28 by М. В. Горбатенко, M. V. Gorbatenko, В. П. Незнамов +1
Mathematics · Physics and Astronomy · #Chandrasekhar limit #Classical mechanics #Dirac equation #Hamiltonian (control theory) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Scalar field #gr-qc
paper · pdf · doi:10.1002/andp.201400035
16 pages, accepted for publication in Annalen der Physik
arxiv created 2014/06/08 · openalex publication_date 2014/07/03 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the paper, for the Kerr field, we prove that Chandrasekhar's Dirac Hamiltonian and the self‐adjoint Hamiltonian with a flat scalar product of the wave functions are physically equivalent. Operators of transformation of Chandrasekhar's Hamiltonian and wave functions to the η representation with a flat scalar product are defined explicitly. If the domain of the wave functions of Dirac's equation in the Kerr field is bounded by two‐dimensional surfaces of revolution around the z axis, Chandrasekhar's Hamiltonian and the self‐adjoint Hamiltonian in the η representation are Hermitian with equality of the scalar products, . image