Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-11
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, acknowledgement added
Scientific paper
Two families of sets, nonstationary and stationary, are obtained. Each nonstationary set $\psi_{p_v}$ consists of the solutions with the quantum number $p_v=p^0v-p_3.$ It can be obtained from the nonstationary set $\psi_{p_3}$ with quantum number $p_3$ by a boost along $x_3$-axis (along the direction of the electric field) with velocity $-v$. Similarly, any stationary set of solutions characterized by a quantum number $p_s=p^0-sp_3$ can be obtained from stationary solutions with quantum number $p^0$ by the same boost with velocity $-s$. All these sets are equivalent and the classification (i.e. ascribing the frequency sign and in-, out- indexes) in any set is determined by the classification in $\psi_{p_3}$-set, where it is beyond doubt.
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