Based on the generalized uncertainty principle with maximum momentum arid minimal length, we discuss the equation of state of ideal ultra-relativistic Fermi gases at zero temperature. Maximum momentum avoids the probl...Based on the generalized uncertainty principle with maximum momentum arid minimal length, we discuss the equation of state of ideal ultra-relativistic Fermi gases at zero temperature. Maximum momentum avoids the problem that the Fermi degenerate pressure blows up since the increase of the Fermi energy is not limited. Applying this equation of state to the Tolman-Oppenheimer Volkoff （TOV） equation, the quantum gravitational effects on the cores of compact stars are discussed. In the center of compact stars, we obtain the singularity-free solution of the metric component, gtt ～-（1 ＋ 0.2185×r^2）. By numerically solving the TOV equation, we find that quantum gravity plays an important role in the region r～10^4α0（△x）min. Current observed masses of neutron stars indicate that the dimensionless parameter α0 cannot exceed 10^19.展开更多
基金Supported by the Fundamental Research Funds for the Central Universities under Grant No ZYGX2009X008
文摘Based on the generalized uncertainty principle with maximum momentum arid minimal length, we discuss the equation of state of ideal ultra-relativistic Fermi gases at zero temperature. Maximum momentum avoids the problem that the Fermi degenerate pressure blows up since the increase of the Fermi energy is not limited. Applying this equation of state to the Tolman-Oppenheimer Volkoff （TOV） equation, the quantum gravitational effects on the cores of compact stars are discussed. In the center of compact stars, we obtain the singularity-free solution of the metric component, gtt ～-（1 ＋ 0.2185×r^2）. By numerically solving the TOV equation, we find that quantum gravity plays an important role in the region r～10^4α0（△x）min. Current observed masses of neutron stars indicate that the dimensionless parameter α0 cannot exceed 10^19.
文摘为了研究基于相干光纤束(Coherent Fiber Bundle,CFB)的无扫描无透镜柔性光学内窥相位成像技术中纤芯误差对成像的影响,针对CFB的传输模式和纤芯长度误差,利用波动光学理论建立了基于CFB的无扫描无透镜柔性光学内窥2D相位成像的理论模型,数学仿真了不同传输模式或纤芯长度误差对成像的影响。结果表明:单模传输和多模传输下的成像分辨率不同,多模传输下具有超衍射极限分辨率的现象。纤芯长度误差对成像影响严重,纤芯长度误差较大时无法成像,纤芯长度误差较小时,成像信噪比降低。对小纤芯长度误差影响的低信噪比模糊图像,可采用维纳滤波,几次迭代后,图像的信噪比均能提升5 d B以上,图像的归一化均方根误差均小于0.5,有效改善了图像质量。因此,在基于CFB的无扫描无透镜柔性光学内窥相位成像系统中,为了实现成像,需要采用单模CFB或在多模CFB中抑制多模实现单模运转。
