First-Principles-Based Grand Unified Theory (GUT) for Micro-Macro Modal Quantization (MQ)--Part II: Heisenberg-Schrodinger-Dirac Pictures, Act 1

arXiv:1804.09246v2 Announce Type: replace Abstract: This series of papers are devoted to establishing a first-principles-based grand unified theory (GUT) for macroscopic modal quantization (MMQ) or traditionally called eigenmode analysis (EMA) in electrodynamics. This paper focuses on outlining the Schrodinger picture of the GUT. The physical picture and mathematical formalism of the energy-based MMQ are reviewed simply, and an MMQ-oriented numerical method--diagonalizing energy source operator (ESO) method--is emphasized. For time-harmonic electromagnetic problem, the time-averaged Lagrangian is formulated, and a generalized Hamiltonian is introduced, and the relationships among the ESO, Lagrangian, and Hamiltonian are revealed. Employing the ESO, Lagrangian, Hamiltonian, and their relationships, it is proved that the diagonalizing ESO method is equivalent to solving Schrodinger equation. The above these jointly form the first principles for governing MMQ, and the first principles provide a unified and universal MMQ framework for all macroscopic electromagnetic structures (such as wave-port, lumped-port, scattering, and self-oscillating structures), and then a first-principles-based GUT for MMQ is established.