共查询到20条相似文献,搜索用时 31 毫秒
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Theoretical and Mathematical Physics - We extend the biquaternionic Dirac equation to include interactions with a background bosonic Geld. The obtained biquaternionic Dirac equation yields... 相似文献
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Janez Bernik 《Archiv der Mathematik》2007,88(6):481-490
Let K be an algebraically closed field of arbitrary characteristic and F < K a subfield. If
is an irreducible semigroup of matrices such that the spectra of all the elements of
are contained in F, then
is conjugate to a subsemigroup of M
n
(F).
Research supported in part by the Ministry of Higher Education, Science, and Technology of Slovenia.
Received: 6 April 2006 相似文献
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“Coherent control of high-harmonic generation in a two-color field” has been widely concerned. Using split-operator algorithm, we have calculated the high-harmonic generation for helium ion He+ in a two-color field which is composed of a driving field and a weak subsidiary high frequency field (Is=I0/100, (ω,13ω), …(ω, 120ω)) and found that such a field can produce much higher harmonic intensity, typically increasing the harmonics corresponding to the incident frequency of the subsidiary field. The different effects coming from the different subsidiary fields are calculated and analyzed. It is indicated that one of the important underlying mechanisms is high frequency photon induced radiation. 相似文献
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Takao Yamazaki 《Mathematische Zeitschrift》2009,261(1):109-121
We prove that the kernel of the reciprocity map for a product of curves over a p-adic field with split semi-stable reduction is divisible. We also consider the K
1 of a product of curves over a number field.
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Ivan F Wilde 《Journal of Functional Analysis》1974,15(1):12-21
A definition of a Markov field is given which allows for noncommuting fields. In the commutative case, we recover Nelson's definition (E. Nelson, Construction of quantum fields from Markoff fields, J. Functional Analysis12 (1973), 97–112). Conditional expectations are shown to exist in a regular probability gage space, and, using an independence property of these in the free fermion gage space, it is shown that the free fermion field over ?1(d) is a Markov field. 相似文献
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V. V. Ternovskii A. M. Khapaev M. M. Khapaev 《Theoretical and Mathematical Physics》2005,142(1):54-60
We analyze the interaction of a charged relativistic particle with the electromagnetic field given by a superposition of a stationary wave and a constant magnetic field. The refraction coefficient of the medium is taken different from one. We investigate the problem in the low-signal approximation. To test the results, we used computer simulation of the original system with two scales of the variation rate of the variables taken into account.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 64–71, January, 2005. 相似文献
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A. P. Kiselev 《Journal of Mathematical Sciences》1979,11(5):744-752
The hf wave field near a focus in an inhomogeneous medium is described by a recurrent system of equations the solutions of which are matched with various incoming and corresponding outgoing waves. In particular, a homocentric diaphragm ray solution is considered.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 62, pp. 126–136, 1976. 相似文献
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The asymptotic normality of a functional of a strongly correlated Gaussian random field having the meaning of the random volume of a bounded realization of the field over a parallelepiped or triangle is established in this paper. In addition some problems of geometric probabilities are solved: the distribution density of the distance between independent random vectors having uniform distribution in a rectangle or triangle is found.Translated from Teoriya Sluchainykh Protsessov, No. 16, pp. 55–60, 1988. 相似文献
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M. A. Cheshkova 《Mathematical Notes》1993,54(5):1182-1183
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