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• W1523574443 abstract "We study the point spectrum of the nonlinear Dirac equation any spatial dimension, linearized at one of the solitary wave solutions. We prove that, any dimension, the linearized equation has no embedded eigenvalues the part of the essential spectrum beyond the embedded thresholds. We then prove that the birth of point eigenvalues with nonzero real part (the ones which lead to linear instability) from the essential spectrum is only possible from the embedded eigenvalues or thresholds, and therefore can not take place beyond the embedded thresholds. We also prove that in the nonrelativistic limit $omegato m$, the point eigenvalues can only accumulate to $0$ and $pm 2 m i$." @default.
• W1523574443 created "2016-06-24" @default.
• W1523574443 creator A5084330621 @default.
• W1523574443 creator A5091293007 @default.
• W1523574443 date "2012-11-14" @default.
• W1523574443 modified "2023-09-27" @default.
• W1523574443 title "On spectral stability of the nonlinear Dirac equation" @default.
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• W1523574443 hasPublicationYear "2012" @default.
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