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1.
Some representative potentials of the anharmonic-oscillator type are constructed. Some corresponding spectra-shift operators are also constructed. These operators are a natural generalization of Fok creation and annihilation operators. The Schrodinger problem for these potentials leads to an equidistant energy spectrum for all excited states, which are separated from the ground state by an energy gap. The general properties of the dynamic system generated by spectral-shift operators of third degree are analyzed. Several examples of such anharmonic oscillators are discussed. The relationship between the eigenvectors of the Schrodinger problem and a certain type of nonclassical orthogonal polynomials is established. 相似文献
2.
V. A. Kulagin 《Mathematical Notes》1996,59(3):283-292
We prove a general theorem on the algebraic independence of values of hypergeometric E-functions and their successive derivatives at algebraic points for the degenerate case in which substantial cancellations occur in numerators and denominators of coefficients of the series in powers ofz of the functions considered.Translated fromMatematicheskie Zametki, Vol. 59, No. 3, pp. 402–414, March, 1996. 相似文献
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A. Yu. Bordanovskii A. A. Volkov D. K. Elumahov V. P. Efremov A. Yu. Kalinin A. V. Korablev A. N. Krinitsyn V. I. Kryshkin N. V. Kulagin V. V. Skvortsov V. V. Talov L. K. Turchanovich 《Physics of Atomic Nuclei》2016,79(4):481-487
Cross sections for the production of high-transverse-momentum charged hadrons in proton–nucleus interactions at the incident-proton energy of 50 GeV were measured with the aid of the FODS double-arm spectrometer. Single hadrons (charged pions and protons) emitted at a c.m. angle of about 90° and high-effective-mass pairs of hadrons flying apart at a c.m. angle of 180° were detected simultaneously. Results on the production of single hadrons are presented. 相似文献
5.
A one-dimensional magnetic superlattice of the easy-axis antiferromagnet-nonmagnetic insulator type is considered in an external static electric field applied perpendicular to the easy magnetization axis. The conditions are determined under which the quadratic magneto-optical interaction leads to a number of specific features in the conditions of localization and propagation of collective magnetic s polaritons. 相似文献
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It is shown that both TE and TM waves incident on the surface of a semi-infinite one-dimensional thin-layer gyrotropic magnetic
photonic crystal of the magnetic-nonmagnetic dielectric type can experience a number of refraction anomalies in an external
electric field due to the effect of hybridization of evanescent waves in magnetic and nonmagnetic layers. These anomalies
are absent under the same conditions in spatially homogeneous media consisting of the same materials as the photonic crystal. 相似文献
8.
A new class of Hamiltonian dynamical systems with two degrees of freedom and kinetic energy of the form T = c1|p1| + c2|p2| (called “pseudo-billiards”) is studied. For any kind of interaction, the canonical equations can always be integrated on sequential time intervals; i.e. in principle all the trajectories can be found explicitly.
Depending on the potential, a dynamical system of this class can either be completely integrable or behave just as a usual non-integrable Hamiltonian system with two degrees of freedom: in its phase space there exist invariant tori, stochastic layers, domains of global chaos, etc. Pseudo-billiard models of both the types are considered.
If a potential of a pseudo-billiard system has critical points (equilibria), then trajectories close to these points (“loops”) can exist; they can be treated as images of self-localized objects with finite duration. Such a model (with quartic potential) is also studied. 相似文献
9.
V. V. Kulagin 《Optics and Spectroscopy》2003,94(5):779-783
The generation of nonclassical states of light with specified frequency-dependent squeezing by way of introducing a correlation between the phase and amplitude of the input field is considered. Three schemes for measuring amplitude fluctuations of the input beam, based on a nondemolition measurement of the intensity in a nonlinear cubic crystal, the effect of light rectification in a quadratic optical crystal, and the use of a non-degenerate optical parametric oscillator, are proposed. The maximum possible value of noise suppression is estimated for each scheme. The prospects for practical realization of the proposed method for generation of frequency-dependent squeezed states are discussed. 相似文献
10.