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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 2, Number 3, Pages 377–382
(Mi tmf4044)
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This article is cited in 5 scientific papers (total in 5 papers)
On the spectrum of the Dirac operator
S. N. Roze
Abstract:
It is proved that the Dirac operator
$$
H \varphi=-i\sum_{j=1}^3\alpha_j\biggl(\frac\partial{\partial x_j}+iA_j(x)\biggr)\varphi+\alpha_4\varphi-q(x)\varphi
$$
does not possess a discrete spectrum lying on the continuous spectrum under the condition lim
$$
\lim_{|x|\to\infty}|x|\biggl(\sum_{j=1}^3|A_j(x)|+|q(x)|\biggr)=0.
$$
Received: 20.11.1969
Citation:
S. N. Roze, “On the spectrum of the Dirac operator”, TMF, 2:3 (1970), 377–382; Theoret. and Math. Phys., 2:3 (1970), 275–279
Linking options:
https://www.mathnet.ru/eng/tmf4044 https://www.mathnet.ru/eng/tmf/v2/i3/p377
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Abstract page: | 287 | Full-text PDF : | 122 | References: | 49 | First page: | 1 |
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