Appendix D Relativistic Quantum Mechanics
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 = T − V. The Hamiltonian is given by , where .
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 ...