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21.
Yaakov Friedman 《Czechoslovak Journal of Physics》2005,55(11):1403-1408
The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities.
This representation is by projective maps. The Lie algebra of this representation defines the relativistic dynamic equation.
If we introduce a new dynamic variable, called symmetric velocity, the above representation becomes a representation by conformal,
instead of projective maps. In this variable the relativistic dynamic equation for systems with an invariant plane becomes
a non-linear analytic equation in one complex variable. We obtained explicit solutions for the motion of a charge in uniform,
mutually perpendicular electric and magnetic fields. By assuming the Clock hypothesis and using these solutions, we were able
to describe the space-time transformations between two uniformly accelerated and rotating systems.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. 相似文献
22.
Yaakov Rosenfeld 《Chemical physics letters》1976,38(3):591-593
Universality of some melting indicators, in the context of two successful models of the solid and the liquid, gives rise to simple semi-empirical melting equations that describe additivity of melting curves. Computer inverse power melting results are used to reproduce the melting characteristics of argon to a good accuracy. 相似文献
23.
In this paper, we present a method for “super-resolved” Raman spectroscopy which improves the resolution of obtained spectra. Experimental investigations were carried out on the spectra of toluene and a toluene–chlorobenzene mixture. A tunable Fabry–Perot filter is added to the detection channel and by measuring the spectra for several states of the filter a spectrum of higher resolution can be obtained after a decoding process. We demonstrate both a reduced linewidth in the pure toluene spectra and partial separation of the two overlapping peaks in the mixture. 相似文献
24.
Yaakov S. Kupitz Horst Martini Margarita Spirova 《Journal of Optimization Theory and Applications》2013,158(2):305-327
We give a discrete geometric (differential-free) proof of the theorem underlying the solution of the well known Fermat–Torricelli problem, referring to the unique point having minimal distance sum to a given finite set of non-collinear points in d-dimensional space. Further on, we extend this problem to the case that one of the given points is replaced by an affine flat, and we give also a partial result for the case where all given points are replaced by affine flats (of various dimensions), with illustrative applications of these theorems. 相似文献
25.
Yaakov S. Kupitz 《Discrete Mathematics》1993,120(1-3):121-134
It is shown that, except for two well defined configurations, any finite set
with exactly three points on ∂V is the vertex set of a triangulation of [V] which is combinatorially the Schlegel diagram of a simplicial unstacked 3-polytope. 相似文献
26.
We consider Markovian queueing models with a finite number of states and a product form solution for its steady state probability distribution. Starting from the integral representation for the partition function in complex space we construct error bounds for its asymptotic expansion obtained by the saddle point method. The derivation of error bounds is based on an idea by Olver applicable to integral transforms with an exponentially decaying kernel. The bounds are expressed in terms of the supremum of a certain function and are asymptotic to the absolute value of the first neglected term in the expansion as the large parameter approaches infinity. The application of these error bounds is illustrated for two classes of queueing models: loss systems and single chain closed queueing networks. 相似文献
27.
We give a unifying approach to the Blaschke-Lebesgue Theorem and the Firey-Sallee Theorem on Reuleaux polygons in the Euclidean plane. 相似文献
28.
Yaakov L. Varol David Westreich 《Journal of Mathematical Analysis and Applications》1979,70(2):399-422
The modeling of physical systems inherently involves constructing a mathematical approximation from observable data and/or a priori assumptions. This study refines some recent work on causal interpolation and causal approximation as system modeling techniques. Sufficient conditions for causal interpolators to approximate continuous causal systems are established. State realizations for minimal norm causal interpolators are also established. 相似文献
29.
We characterize the isometries ofC p n,m intoC P (l≦p<∞, p ≠ 2, 2≦n,m). In particular, we find that ifX ?C P is isometric toC p n,m , then there exists a contractive projection from Cp ontoX. 相似文献
30.
Strong light‐matter coupling between a molecular vibrational mode in a PMMA film and a low‐loss mid‐IR microcavity 下载免费PDF全文
Merav Muallem Alex Palatnik Gilbert D. Nessim Yaakov R. Tischler 《Annalen der Physik》2016,528(3-4):313-320
Microcavity devices exhibiting strong light‐matter coupling in the mid‐infrared spectral range offer the potential to explore exciting open physical questions pertaining to energy transfer between heat and light and can lead to a new generation of efficient wavelength tunable mid‐infrared sources of coherent light based on polariton Bose‐Einstein Condensation. Vibrational transitions of organic molecules, which often have strong absorption peaks in the infrared and considerably narrower linewidths than organic excitonic resonances, can generate polaritonic states in the mid‐infrared spectral range using microcavity devices. Here, narrow linewidth polaritonic resonances are exhibited in the mid‐infrared by coupling the carbonyl stretch vibrational transition of a polymethyl methacrylate film to the photonic resonance of a low optical‐loss mid‐infrared microcavity, which consisted of two Ge/ZnS dielectric Bragg reflectors. Rabi‐splitting of 14.3 meV is observed, with a 4.4 meV polariton linewidth at anti‐crossing. The large Rabi‐splitting relative to linewidth indicates efficient impedance‐matching between the bare vibrational and photonic states, and suggests molecular‐vibration polaritons incorporated in dielectric microcavities can be an enabling step towards realizing polariton optical switching and polariton condensation in the mid‐infrared spectral range. 相似文献