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- W1567334258 abstract "Quasistationary levels in the lower (negative) continuum of solutions of the Dirac equation are considered. The potential V (r) is assumed deep enough ( vertical-barV/sub max/vertical-bar>2mc/sup 2/) so that the levels of the discrete spectrum may cross the boundary epsilon =-mc/sup 2/ and dive into the lower continuum. Application of the WKB approximation allows complete solution of the problem of the real part of the level energy. Explicit equations are obtained for the spectrum of levels with energies epsilon or approx. =2. However, the WKB method does not allow one to find the width of deep levels with low angular momenta. The exact solutions of the dirac equation are analyzed to elucidate this problem. It is shown that for zeta>>1 the width ..gamma../sub n/ is much smaller than both the level energies epsilon/sub n/ and the separation between close levels epsilon/sub n/+1--epsilon/sub n/; the levels are, thus, isolated. The change in the asymptotics (r..-->..infinity) of solutions of the Dirac equation upon crossing the boundary of the lower continuum is clarified." @default.
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- W1567334258 date "1978-02-01" @default.
- W1567334258 modified "2023-09-23" @default.
- W1567334258 title "Problem of levels in the lower continuum" @default.
- W1567334258 hasPublicationYear "1978" @default.
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