History of Thomas-September Progress (Open) (No. 4)

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  • 1 (2013-09-02 (Mon) 12:23:37)
  • 2 (2013-09-02 (Mon) 12:28:01)
  • 3 (2013-09-02 (Mon) 18:30:43)
  • 4 (2013-09-02 (Mon) 20:42:57)
  • 5 (2013-09-03 (Tue) 18:06:54)
  • 6 (2013-09-03 (Tue) 22:03:06)
  • 7 (2013-09-04 (Wed) 12:48:15)
  • 8 (2013-09-04 (Wed) 16:23:39)
  • 9 (2013-09-04 (Wed) 22:33:52)
  • 10 (2013-09-05 (Thu) 12:25:31)
  • 11 (2013-09-05 (Thu) 16:08:56)

Saito Group (Open)

Started by Thomas.2013.09.02 This is Thomas's logbook for September of 2013.

1st week†

• 09.02
  • The Hamiltonian for the electron-photon interaction is given by &tex(): Error! The expression contains invalid characters.;, in this equation &tex(): Error! The expression contains invalid characters.; is the linear momentum, &tex(): Error! The expression contains invalid characters.; is the charge of the particle, &tex(): Error! The expression contains invalid characters.; is the vector potential, &tex(): Error! The expression contains invalid characters.; is the particle's mass, &tex(): Error! The expression contains invalid characters.; is the speed of light and &tex(): Error! The expression contains invalid characters.; is the scalar potential. It is possible to check this by using the canonical equations from Hamilton, &tex(): Error! The expression contains invalid characters.; and &tex(): Error! The expression contains invalid characters.;.

From those last equations together with the following identities &tex(): Error! The expression contains invalid characters.; and &tex(): Error! The expression contains invalid characters.; With all this considered it was possible to arrive at the equation of motion of a particle under an electromagnetic field, &tex(): Error! The expression contains invalid characters.;.

Next steps:

Consider the wave functions from quantum well, hydrogen atom, and solve with the electromagnetic(electron-photon interaction) perturbation.