Asymptotic Behavior of Solutions of the Nonstationary Dirac Euqation with Potential that Slowly Depends on Time

Asymptotic Behavior of Solutions of the Nonstationary Dirac Euqation with Potential that Slowly Depends on Time

The asymptotic behavior of the solution of the Cauchy problem for the nonstationary Dirac equation with potential slowly dependent on time is studied. The construction of the asymptotic solution is based on the spectral decomposition of the solution at a current moment of time. It does not use the a...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-02, Vol.252 (5), p.695-701
1. Verfasser: Sukhanov, V. V.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Asymptotic properties
Cauchy problems
Dirac equation
Mathematics
Mathematics and Statistics
Time dependence
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Zusammenfassung:The asymptotic behavior of the solution of the Cauchy problem for the nonstationary Dirac equation with potential slowly dependent on time is studied. The construction of the asymptotic solution is based on the spectral decomposition of the solution at a current moment of time. It does not use the adiabatic theorem in scattering theory.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05191-y