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Page 408
... Lagrangian is not an explicit function of time . The Hamiltonian is defined in terms of the Lagrangian as H = P.v - L ( 12.78 ) The velocity v must be eliminated from ( 12.78 ) in favor of P and x . From ( 12.76 ) or ( 12.77 ) we find ...
... Lagrangian is not an explicit function of time . The Hamiltonian is defined in terms of the Lagrangian as H = P.v - L ( 12.78 ) The velocity v must be eliminated from ( 12.78 ) in favor of P and x . From ( 12.76 ) or ( 12.77 ) we find ...
Page 409
... Lagrangian which yields dynamic equations of motion . Another is that the Lagrangian is often a convenient starting point in discussing particle dynamics . Finally , the concepts and ideas of conjugate variables , etc. , are useful even ...
... Lagrangian which yields dynamic equations of motion . Another is that the Lagrangian is often a convenient starting point in discussing particle dynamics . Finally , the concepts and ideas of conjugate variables , etc. , are useful even ...
Page 410
... Lagrangian could be formulated only in the static limit , i.e. , to zeroth order in ( v / c ) . We will now show , however , that lowest - order relativistic corrections can be included , giving an approximate Lagrangian for inter ...
... Lagrangian could be formulated only in the static limit , i.e. , to zeroth order in ( v / c ) . We will now show , however , that lowest - order relativistic corrections can be included , giving an approximate Lagrangian for inter ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electrons electrostatic energy loss factor force equation frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ parallel perpendicular phase velocity plane wave plasma polarization power radiated Poynting's vector problem propagation radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ