Mathematical Appendices

  • Alexander Komech


The Lagrangian and Hamiltonian formalism provide a unifying language for modern field theory.

The Hamilton–Jacobi theory and geometrical optics are considered as one of the main issues for the introduction of the Schrödinger equation and quantum observables.

We give an updated version of Noether’s theorem on currents and give its applications to the conservation laws for the Schrödinger equation and to the charge continuity.

The limiting amplitude principle provides an explanation of the photoelectric effect.


Lagrangian Density Geometrical Optic Maxwell Field Extended Phase Space Angular Momentum Conservation 
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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Alexander Komech
    • 1
  1. 1.Faculty of MathematicsUniversity of ViennaViennaAustria

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