折射率温敏式光纤温度传感器的理论模型

提出了折射率温敏式光纤温度传感器的理论模型，包括子午光线和偏射光线的影响，讨论了多模光纤的弯曲损耗，理论的分析和结果与实验相当一致。     

耐火砖模具设计中空间平面尺寸的合理标注

分析空间四边平面加工过程中产生不共面的原因，提出了合理标注空间平面尺寸的方法并阐述了其理论根据。     

血液的光学性质研究

本文用辐射输运理论方法去计算红细胞的光学特征量,并在此基础上提出检测血细胞数密度的理论实验方案,其结果与传统的方法一致。本文为开发一种血球数自动检测仪提供了理论基础和仪器结构原型。     

Spectral Theory for Slowly Oscillating Potentials II. Schrödinger Operators

This paper continues the investigation about the singularity theory in dual rich quasi–Banach spaces given in T. Runst [Ru 2]. The abstract results are applied to the study of the solution structure of semilinear elliptic boundary value problems in spaces of Besov – Triebel – Lizorkin type.     

The Potts model representation and a Robinson–Schensted correspondence for the partition algebra

We construct a correspondence between the set of partitions of a finite set M and the set of pairs of walks to the same vertex on a graph giving the Bratteli diagram of the partition algebra on M. This is the precise analogue of the correspondence between the set of permutations of a finite set and the set of pairs of Young tableaux of the same shape, called the Robinson–Schensted correspondence.     

应用灰色统计进行纺织产品的抉择

本文利用灰色系统理论处理问题的特点,以一纺织厂对三种产品优化抉择为例,提出了用灰色统计综合评判的方法进行产品块择,取得了较满意的效果,为纺织产品的生产抉择提供了一个新的科学方法。     

挠率几何与有挠引力

本文提出一种统一描述引力场、规范场及自旋自相互作用的纤维丛理论.它把现有的挠率概念包含在其中,如Cartan理论、Brans-Dicke理论、规范引力理论等.本文还给出了一种拉伸纤维的映射,它为进一步探讨挠率产生的几何机制和物理机制提供了新的研究方式.     

The Clock Paradox in a Static Homogeneous Gravitational Field1

The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as the key observable parameter. This solution provides a formal demonstration of the identity between the special and general relativistic clock paradox with finite acceleration and where proper time is assumed to be the same in both formalisms. By solving the equations of motion for a freely falling clock in a static homogeneous field elapsed times are calculated for realistic journeys to the stars. ¹ Both authors contributed equally to this paper.     

Effective-Field Theory on High Spin Systems with Biaxial Crystal Field

Based on the effective-field theory with self-spin correlations and the differential operator technique,physical properties of the spin-2 system with biaxial crystal field on the simple cubic, body-centered cubic, as well as faced-centered lattice have been studied. The influences of the external longitudinal magnetic field on the magnetization,internal energy, specific heat, and susceptibility have been discussed in detail. The phenomenon that the magnetization in the ground state shows quantum effects produced by the biaxial transverse crystal field has been found.     

Normalization and Fermi–Coulomb and Coulomb hole sum rules for approximate wave functions

For approximate wave functions, we prove the theorem that there is a one‐to‐one correspondence between the constraints of normalization and of the Fermi–Coulomb and Coulomb hole charge sum rules at each electron position. This correspondence is surprising in light of the fact that normalization depends on the probability of finding an electron at some position. In contrast, the Fermi–Coulomb hole sum rule depends on the probability of two electrons staying apart because of correlations due to the Pauli exclusion principle and Coulomb repulsion, while the Coulomb hole sum rule depends on Coulomb repulsion. We demonstrate the theorem for the ground state of the He atom by the use of two different approximate wave functions that are functionals rather than functions. The first of these wave function functionals is constructed to satisfy the constraint of normalization, and the second that of the Coulomb hole sum rule for each electron position. Each is then shown to satisfy the other corresponding sum rule. The significance of the theorem for the construction of approximate “exchange‐correlation” and “correlation” energy functionals of density functional theory is also discussed. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007