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71.
We consider theoretically and experimentally an array of singular beams whose axes lie on the surface of a hyperboloid of revolution. We show that such a singular array can carry a very high orbital angular momentum. Experimental results demonstrate a way of generating such singular arrays. 相似文献
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O. V. Anchugov V. E. Blinov A. V. Bogomyagkov A. N. Zhuravlev S. E. Karnaev G. V. Karpov V. A. Kiselev G. Ya. Kurkin E. B. Levichev O. I. Meshkov S. I. Mishnev N. Yu. Muchnoi S. A. Nikitin I. B. Nikolaev V. V. Petrov P. A. Piminov E. A. Simonov S. V. Sinyatkin A. N. Skrinsky V. V. Smaluk Yu. A. Tikhonov G. M. Tumaikin A. G. Shamov D. N. Shatilov D. A. Shvedov E. I. Shubin 《Journal of Experimental and Theoretical Physics》2009,109(4):590-601
The VEPP-4M accelerator facility with a universal KEDR detector is designed to conduct experiments with colliding electron-positron beams. High-energy physics, nuclear physics, and studies using synchrotron radiation are the main directions of research with this facility. In addition, experiments on poorly explored issues in the physics of beams in the electron-positron storage ring and methodological studies to prepare an experiment aimed at testing corollaries of the CPT theorem for an electron and a positron are regularly conducted at the VEPP-4 facility. A number of works performed in recent years are described: studies to increase the accuracy of comparing the electron and positron spin precession frequencies by the resonant depolarization method; measurements of the count rate of Touschek electrons as a function of the beam energy in a wide range; comparison of the methods for measuring the beam energy spread; a study of the electron beam dynamics when a nonlinear betatron resonance is crossed. 相似文献
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We investigate the problem of divergences and renormalizations in the Hamiltonian formalism of quasiclassical field theory. This approach is known to involve divergences in the leading term of the expansion. Proposals have been made to eliminate the divergences by using nonequivalent representations of the canonical commutation relations at different moments of time. In this paper, we consider the Schrödinger equation with ultraviolet and infrared cutoffs. In order to remove the cutoffs, conditions are imposed on the initial state of the regularized theory in addition to the conditions imposed on the counterterms in the Hamiltonian. In the leading order of the quasi-classical expansion, we give the explicit form of these conditions, which is invariant under the evolution. This allows us to show that this approximation does not require the introduction of nonunitary evolution transformations. 相似文献
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Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 2, pp. 49–65, March–April, 1992. 相似文献