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3-2. Consider an electron in a uniform and constant magnetic field B along the z-axis. Obtain the most general four-component positive-energy eigenfunctions. Show that the energy eigenvalues are given by E = √m²c + c²p³ + 2nehc|B| with = 0, 1, 2, ... List all the constants of the motion.

3-2. Consider an electron in a uniform and constant magnetic field B along the z-axis. Obtain the most general four-component positive-energy eigenfunctions. Show that the energy eigenvalues are given by E = √m²c + c²p³ + 2nehc|B| with = 0, 1, 2, ... List all the constants of the motion.

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3-2. Consider an electron in a uniform and constant magnetic field B along the z-axis. Obtain the most general four-component posit ive-energy eigenfunctions. Show that the energy eigenvalues are given by E = /m*c* + c p+ 2nehc|B| with n 0, 1, 2,... List all the constants of the motion.
Transcribed Image Text:3-2. Consider an electron in a uniform and constant magnetic field B along the z-axis. Obtain the most general four-component posit ive-energy eigenfunctions. Show that the energy eigenvalues are given by E = /m*c* + c p+ 2nehc|B| with n 0, 1, 2,... List all the constants of the motion.
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