The ‘electromagnetic’ Wigner equation for an electron with spin
Tóm tắt
We derive and analyse the three-dimensional quantum Liouville equation for an electron with spin in an external electromagnetic field. By using methods of semigroup theory, we prove existence and uniqueness of the initial value problem. Expanding the solution into a series of pure states, we derive the existence of a generalized particle density and anL
∞-estimate on the solution. The last section is devoted to an analysis of the classical and electrostatic limits.
Tài liệu tham khảo
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