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61.
62.
Christian Wolf 《Journal of statistical physics》2006,122(6):1111-1138
In this paper we introduce the notion of generalized physical and SRB measures. These measures naturally generalize classical
physical and SRB measures to measures which are supported on invariant sets that are not necessarily attractors. We then perform
a detailed case study of these measures for hyperbolic Hènon maps. For this class of systems we are able to develop a complete
theory about the existence, uniqueness, finiteness, and properties of these natural measures. Moreover, we derive a classification
for the existence of a measure of full dimension. We also consider general hyperbolic surface diffeomorphisms and discuss
possible extensions of, as well as the differences to, the results for Hènon maps. Finally, we study the regular dependence
of the dimension of the generalized physical/SRB measure on the diffeomorphism. For the proofs we apply various techniques
from smooth ergodic theory including the thermodynamic formalism.
2000
Mathematics Subject Classification. Primary: 37C45, 37D20, 37D35, Secondary: 37A35, 37E30 相似文献
63.
A. Settimi S. Severini C. Sibilia M. Bertolotti A. Napoli A. Messina 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,50(3):379-391
The present paper discusses the stimulated emission, in strong coupling
regime, of an atom embedded inside a one dimensional (1D) Photonic Band Gap
(PBG) cavity which is pumped by two counter-propagating laser beams. Quantum
electrodynamics is applied to model the atom-field interaction, by
considering the atom as a two level system, the e.m. field as a
superposition of normal modes, the coupling in dipole approximation, and the
equations of motion in Wigner-Weisskopf and rotating wave approximations. In
addition, the Quasi Normal Mode (QNM) approach for an open cavity is adopted, interpreting the local density of states (LDOS)
as the local density of
probability to excite one QNM of the cavity; and therefore rendering this
LDOS dependent on the phase difference of the two laser beams. In this paper
we demonstrate that the strong coupling regime occurs at high values of the
LDOS. In accordance with the results of the literature, the emission
probability of the atom decays with an oscillatory behaviour, so that the
atomic emission spectrum exhibits two peaks (Rabi splitting). The novelty of
this work is that the phase difference of the two laser beams can produce a
coherent control of both the oscillations for the atomic emission
probability and, as a consequence, of the Rabi splitting in the emission
spectrum. Possible criteria to design active delay lines are finally
discussed. 相似文献
64.
65.
66.
67.
A.D. Ribeiro 《Physics letters. A》2011,375(4):812-816
The semiclassical formula for the coherent-state propagator is written in terms of complex classical trajectories of an equivalent classical system. Depending on the parameters involved, more than one trajectory may contribute to the calculation. Eventually, however, two contributing trajectories coalesce, characterizing what is called phase space caustic. In this case, the usual semiclassical formula for the propagator diverges, so that a uniform approximation is required to avoid this singularity. In this Letter, we present a non-trivial numerical application illustrating this scenario, showing the accuracy of the uniform formula that we have previously derived. 相似文献
68.
When ultrafast laser pulse strikes the crystal with a van Hove singularity in the phonon density of states, it can create a pair of anti-correlated in wave-vector phonons. As a result, the atomic fluctuations in either position or momentum become squeezed in such a way that their size might fall below the vacuum level. The ultrafast pulses can also generate a biphonon state in which the constituent phonons are correlated and/or entangled. Here we show that via the interplay between one- and two-phonon interference the bound and squeezed two-phonon state in (110) oriented ZnTe single crystal can be manipulated. 相似文献
69.
A Coherent Spin State (CSS) is defined as an eigenstate of the spin component in the direction specified by angles (θ0,?0). This state satisfies minimum uncertainty relation, with uncertainties equally distributed on any two orthogonal components normal to the direction of the total spin vector 〈S〉. Starting from this concept, we apply the notion of CSS to quantum groups and discuss the properties of q-deformed CSS and the associated uncertainty relations. We show that these states behave as Intelligent Spin States (ISS) on two orthogonal components normal to the direction of the mean value of the spin operator. 相似文献
70.
Ahmad Hussein Alomari Muneer Aziz Saleh Suhairul Hashim Amal Alsayaheen 《辐射效应与固体损伤》2013,168(3-4):294-306
ABSTRACTAs a pioneering study in Jordan, an extensive measurement for external gamma dose rate (GDR) was conducted. A portable gamma radiation detector was used to perform these measurements at 1?m above the soil surface. A geographical positioning system Garmin was used to record a total of 823 measured points. The GDRs’ measurement ranged from 35 to 470?nGy?h?1 giving a mean value of 90?nGy?h?1, which was found to be one and half times higher than the world average of 59?nGy?h?1. The lowest mean GDR 72?nGy?h?1 was found in the Albalqa governate, while the highest mean GDR 131?nGy?h?1 was found to be for the Alkarak governate. The mean annual effective dose was found to be 0.551?mSv, which is higher than the world average value of 0.48?mSv. This is a pivotal study evaluating the risks associated with GDR levels in Jordan that were the relative excess lifetime cancer risk, the mean collective effective dose, the mean weighted GDR and the mean lifetime dose that are 2.24?×?10?3, 5538manSv?y?1, 0.531?mSv and 39?mSv, respectively. The cosmic rays mean GDR was determined to be 20?nGy?h?1. This study focuses on constructing GDRs’ baseline data in Jordan, which will be used to determine the possible change in the natural radiation due to other human activities in the future. ArcGIS software was employed to generate an isodose map to characterise exposure rates caused by GDR in Jordan. 相似文献