Equivalent sets of solutions of the Dirac equation with a constant electric field

dc.creatorNikishov, A. I.
dc.date2002-11-11
dc.date2003-01-15
dc.date.accessioned2026-07-07T04:14:28Z
dc.date.available2026-07-07T04:14:28Z
dc.descriptionTwo families of sets, nonstationary and stationary, are obtained. Each nonstationary set $ψ_{p_v}$ consists of the solutions with the quantum number $p_v=p^0v-p_3.$ It can be obtained from the nonstationary set $ψ_{p_3}$ 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 $ψ_{p_3}$-set, where it is beyond doubt.
dc.description9 pages, acknowledgement added
dc.identifierhttps://arxiv.org/abs/hep-th/0211088
dc.identifierhttp://arxiv.org/abs/hep-th/0211088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51637
dc.subjectHigh Energy Physics - Theory
dc.titleEquivalent sets of solutions of the Dirac equation with a constant electric field
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