Appendix D Relativistic Quantum Mechanics

D.1 Lagrangians

For discrete systems the Hamilton principle yields the Lagrangian equations


where the Lagrangian is the difference between the kinetic energy and the potential energy, i.e.L = TV. The Hamiltonian is given by Image, where Image.

If ηi is the displacement of particle i from its equilibrium position (see figure D.1), then

where a is the separation distance between the equilibrium positions of two neighboring ...

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