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Moreover, we provide concrete numbers for , the ultraviolet cutoff, and the radiative correction for which our procedure works.


We consider quantum field theoretical models inn dimensional spacetime given by interaction densities which are bounded functions of an ultraviolet cutoff boson field.


We consider a Euclidean invariant interaction Hamiltonian which is a polynomial in smeared Fermion field operators (the smearing function providing an ultraviolet cutoff).


Renormalization effects are examined using asymptotic expressions which contain ultraviolet cutoffs.


For spin1/2 fields with an interaction density which is an evendegree polynomial in the field and its derivatives the interaction HamiltonianHI, with space and ultraviolet cutoffs is a bounded operator on Fock space.

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 Light injures human body organization in two ways: 1. ultraviolet cuts off alternative double streptocyte containing protein, ferment and nucleic acid molecule; 2. Effect of pigment molecule of special wavelength and ultraviolet produces free genome compound that interferes with cell membrane,bioblock membrane, nucleic acid, depolarization collagen and atidase. But people are successful in preventing them from utraviolet effect. Artifical crystal,sun glasses, special glasses and application of UVR... Light injures human body organization in two ways: 1. ultraviolet cuts off alternative double streptocyte containing protein, ferment and nucleic acid molecule; 2. Effect of pigment molecule of special wavelength and ultraviolet produces free genome compound that interferes with cell membrane,bioblock membrane, nucleic acid, depolarization collagen and atidase. But people are successful in preventing them from utraviolet effect. Artifical crystal,sun glasses, special glasses and application of UVR prevention principle play an effective role in protection of eyes.  光线对人体组织产生损伤的方式有两种,一是紫外线切断含有蛋白、酶和核酸分子的交替双链;二是紫外线和特殊波长对色素分子影响,使其产生游离基因化合物,而游离基因能干拢细胞膜、线粒体膜、核酸,去极化胶原和玻尿酸。但人们在防护紫外线方面也卓有成效,人工晶体、太阳镜、特殊镜片和UVR防护原理的实施等,都能起到有效保护眼睛的功用。  Absorption spectra,emission spectra of Er 3+doped bismuthbased glasses were studied.The ultraviolet cutoff wavelength of bisumthbased glass is larger than that of lther glasses,such as silicate glass,phosphate glass,and tellurite glass.The relatively higher refractive index of bismuthbased galss made it has larger stimulated emission cross section((σ e=9.0×10 21cm 2) and broader FWHM(～70nm),which are two very important parametrs for optical fiber amplifier.JuddOfelt strength parameters Ω... Absorption spectra,emission spectra of Er 3+doped bismuthbased glasses were studied.The ultraviolet cutoff wavelength of bisumthbased glass is larger than that of lther glasses,such as silicate glass,phosphate glass,and tellurite glass.The relatively higher refractive index of bismuthbased galss made it has larger stimulated emission cross section((σ e=9.0×10 21cm 2) and broader FWHM(～70nm),which are two very important parametrs for optical fiber amplifier.JuddOfelt strength parameters Ω t(t=2,4,6),are 3.71×10 20cm 2,1.86×10 20cm 2,1.28×10 20cm 2,respectively.The Ω 6 is much larger in bismuthbased glass than that in other glasses,so ErO hamuch less covalency in this glass.Spontaneous radiative rate and branch ratios of each energy level of Er 3+ ions were also given.The ratios of line strengths of eectric dipole transition to manetic dipole transition are much bigger in bismuthbased glass,which contribute to broad and flat emission.Stimulated emission cros section was also calculated by McCumber theory.The optical properties of Er 3+ in bismuthbased glass are discussed by comparing with other host glasses.  研究了掺铒铋酸盐玻璃的吸收和荧光光谱性质 ,应用Judd Ofelt理论计算了玻璃的三个强度参量Ωt=(t=2 ,4,6 ) ,分别为Ω2 =3 .71× 1 0  2 0 cm2 ,Ω4=1 .86× 1 0  2 0 cm2 ,Ω6=1 .2 8× 1 0  2 0 cm2 ,计算了Er3+离子的自发跃迁几率、荧光分支比等光谱参量 经荧光谱测试发现掺Er3+铋酸盐玻璃的荧光半高宽可达 70nm 应用McCumber理论计算 1 .5 3 μm处的受激发射截面可达 9× 1 0  2 1 cm2 .对Er3+离子在不同基质玻璃中光谱特性的比较发现 ,Er3+在铋酸盐玻璃中具有相对较高的受激发射截面和宽的荧光半高宽  By using the entanglement entropy method, in the GibbonsMaeda(GM) dilaton spacetime, the statistical entropy of the quantum field in a thin film is calculated and the BekensteinHawking entropy of the GM dilaton black hole is obtained.Here, the quantum field is entangled with the quantum states in the black hole and the thin film sticks to the event horizon from outskirt of the black hole.Taking into account the effect of the generalized uncertainty principle on the quantum state density, the difficulty... By using the entanglement entropy method, in the GibbonsMaeda(GM) dilaton spacetime, the statistical entropy of the quantum field in a thin film is calculated and the BekensteinHawking entropy of the GM dilaton black hole is obtained.Here, the quantum field is entangled with the quantum states in the black hole and the thin film sticks to the event horizon from outskirt of the black hole.Taking into account the effect of the generalized uncertainty principle on the quantum state density, the difficulty of the divergence of the state density near the event horizon in the brickwall model is removed.Calculating the statistical entropy of the degrees of freedom entangling to the quantum states in the black hole in the quantum field outside the brickwall and comparing the result to the entropy from the degrees of freedom inside brickwall, we see that the two results are consistent but the latter may embody preferably the essence of black hole entropy.Using the residue theorem, the integration difficulty in the calculation is overcome and the result of the paper is founded quantitatively. These calculation and discussion imply that the high density quantum states near the event horizon are strongly correlated with the quantum states in black hole and the ultraviolet cutoff in the brickwall model is not reasonable. The quantization of gravity field should be considered in the high energy quantum field near the event horizon and the ultraviolet cutoff is not necessary. In the quantum field inside and outside the brickwall, the degrees of freedom contributing to the black hole entropy are just those correlating with the degrees of freedom in the black hole.  按纠缠熵方法,计算了GibbonsMaeda(GM)dilaton黑洞视界外部与黑洞内量子态纠缠的一薄层内量子场的统计熵,得到了GMdilaton黑洞的BekensteinHawking熵.用广义不确定原理对量子态密度进行修正,克服了brickwall模型中视界附近态密度的发散困难,该薄层可以紧贴在事件视界上.对brickwall外部量子场中与黑洞内自由度有关联的自由度统计熵进行了计算,并把结果与brickwall内量子场的熵进行比较分析,显示两结果具有与视界面积成正比的一致性,但后者能更好地反映黑洞熵的本质.利用留数定理,克服了计算中的积分困难,所得的结论是定量成立的.计算和讨论表明:黑洞事件视界外部附近的高密度量子态与黑洞内部有强关联,brickwall模型中的紫外截断是不合理的.在视界附近的高能态量子场中,应当考虑引力场的量子化效应,brickwall模型中的紫外截断也是不必要的.在brickwall内外的量子场中,对黑洞熵有贡献的均是与黑洞内部量子态有关联的自由度.   << 更多相关文摘 
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