Kinematics in the Special Theory of Ether

The aim of this paper is to show that the Michelson–Morley and Kennedy–Thorndike experiments are not sufficient for justification of the theory of special relativity because these experiments can be explained using another theory in which a universal reference frame exists. In this paper, we derive a novel theory of body kinematics with a universal reference frame. We call this theory the special theory of ether (STE). The reason that the universal reference frame could not be found using the Michelson–Morley and Kennedy–Thorndike experiments is also explained. As well, based on a geometric analysis of the Michelson–Morley and Kennedy–Thorndike experiments, we derive another coordinate and time transformation that differs from the Lorentz transformation. In addition, the transformation law of speed, the formula for the addition of velocities for the absolute velocity, as well as length-contraction and time-dilation formulas are derived. The paper contains only the investigations of the original authors.     

基于Lyapunov方程的分数阶混沌系统同步

对阶次小于1的分数阶系统提出了基于Lyapunov方程的系统稳定性判定理论. 将该理论应用于分数阶混沌系统的同步,实现了未知参数的分数阶Lorenz混沌系统的自适应同步. 仿真结果证实了该理论的正确性. 关键词： 分数阶混沌系统 同步 Lyapunov方程 自适应     

基于分数阶滑模面控制的分数阶超混沌系统的投影同步

本文通过设计一个新型的含分数阶滑模面的滑模控制器,应用主动控制原理和滑模控制原理,实现了一个新分数阶超混沌系统和分数阶超混沌Chen系统的投影同步.应用Lyapunov理论,分数阶系统稳定理论和分数阶非线性系统性质定理对该控制器的存在性和稳定性分别进行了分析,并得到了异结构分数阶超混沌系统达到投影同步的稳定性判据.数值仿真采用分数阶超混沌Chen 系统和一个新分数阶超混沌系统的投影同步,仿真结果验证了方法的有效性. 关键词： 分数阶滑模面滑模控制器 稳定性分析 分数阶超混沌系统 投影同步     

Perturbation theory for projected states in the pairing force model: (II). The problem of convergence

In a previous paper second-order calculations were carried out on the two-level pairing force model using perturbation theory for projected states and the results were compared with those of BCS or ordinary perturbation theory. In the present paper criteria for convergence are applied to two different forms of the perturbation series for both the projected and ordinary perturbation theories. It is found that the superior results obtained for the convergence rates in the projected theory tally neatly with the results of the second-order calculations, and give further support to the use of the projected perturbation theory.     

激光新阈值理论及其实验研究

本文对激光的阈值给出了新的理论解释，提出了激光新阈值理论，导出了激光新阈值条件的解析表达式，并对各类激光器分别进行了讨论，而且从实验上测量了激光器的阈值反转粒子数密度ｎｔｈ与允许激光器获得振荡放大的持续时间△ｔ之间的关系，其结果与激光新阈值理论结果相一致。     

A general integral of the Jordan-Brans-Dicke field equations for static spherically symmetric perfect fluid distributions

The Jordan-Brans-Dicke field equations [1] contain the four-dimensional field equations of the five-dimensional projective unified theory. As it should be, Einstein's theory is incorporated as a limiting case. In this paper we present a method to determine explicitly for every static spherically symmetric solution of Einstein's theory with perfect fluid an analogous solution of Jordan-Brans-Dicke theory. As a particular example a “generalized interior Schwarzschild solution” is given.     

Free vibrations of skirt supported pressure vessels — an engineering application of timoshenko beam theory

Timoshenko beam theory is applied to the study of the free vibrations of skirt supported pressure vessels in this paper; such systems are used in the process and power generation industries as well as aboard nuclear powered vessels. It is shown that the analysis is not significantly more complicated than the analysis of skirt-vessel combinations by Euler-Bernoulli beam theory. This latter analysis is provided in an appendix. Two sets of boundary conditions are considered: namely, the cases of (a) a cantilevered system and (b) a fixed-pinned system. The first two natural frequencies of nine typical cases are calculated and compared with the corresponding results obtained from Euler-Bernoulli beam theory. The numerical differences are significant so that if a beam theory is adequate to model the system, it is clear that Timoshenko beam theory is the appropriate one to use. In addition, the first two mode shapes for a particular case are presented for comparison with the corresponding mode shapes predicted by Euler-Bernoulli beam theory. Finally, some comments on the modeling and analysis of specific, real systems are made. It is emphasized that the purpose of the paper is to demonstrate that Timoshenko beam theory is not unduly difficult to apply to problems of engineering interest when a beam theory model is suitable.     

Views on “Principle of limitation of physical quantities and cyclic universe”

This paper presents an analysis of a paper entitled "Principle of limitation of physical quantities and cyclic universe" and proposes different results for some formulae from that report.In addition,this paper shows that the principle of limits coupling may lead to an approximation of current theories(i.e.,quantum theory and relativistic theory),which have interesting correlations with the Plank formula and the special theory of relativity.     

A generalized stochastic liouville equation. Non-Markovian versus memoryless master equations

The interrelation between the well-known non-Markovian master equation and the new memoryless one used in the previous paper is clarified on the basis of damping theory. The latter equation is generalized to include cases in which the Hamiltonian or the Liouvillian is a random function of time, and is written in a form feasible for perturbational analysis. Thus, the existing stochastic theory in which those cases mentioned above are discussed is equipped with a more tractable basic equation. Two problems discussed in the previous paper, i.e., the random frequency modulation of a quantal oscillator and the Brownian motion of a spin, are treated from the viewpoint of the stochastic theory without such explicit consideration of external reservoirs as was taken in the previous paper.     

A guided tour of new tempered distributions

Laurent Schwartz, the principle architect of distribution theory, presented the impossibility of extending a form of multiplication to distribution theory. There have been many varieties of partial solutions to this problem. Some of the solutions contain heuristic computations done by physicists in quantum field theory. A recent strategy developed by J. Colombeau culminates with multiplication and integration theory for distributions. This paper develops this theory in the spirit of a sequence approach, much like fundamental sequences are to distributions. However, in the new tempered distribution theory the sequences can be noncountable. T. Todorov developed these techniques for new distributions. However, since so many applications require Fourier analysis, the new tempered distributions provide a natural setting for physics and signal analysis. The paper illustrates the product of two Dirac delta functionals,(x)(x). Other nonregular distributional products can also be computed in the same manner. The paper culminates with a new application of annihilation and creation operators in quantum field theory.     

Theory of Multicavity Gyrolystron Amplifier Based on a Green's Function Approach

The paper presents an application of a self-consistent field theory for gyrotrons to a multicavity gyroklystron configuration. The coupled RF field equation and the Lorentz equations are solved in the slow-time-scale formulation using a Green's function technique to satisfy appropriate boundary conditions. An analytical expression for the small-signal gain is obtained by the method of successive approximation. The theory has been developed for cylindrical TE°mnl mode as well as rectangular TE·101 mode. The theory is applied to calculate the small-signal performance characteristics of a three-cavity configuration operating with rectangular TE101 mode.     

Discrete quantum theory

This paper is concerned with tracing the implications of two ideas as they affect quantum theory. One, which descends from Leibniz and Mach, is that there is no space-time continuum, but that which are involved are spacial and temporal relations involving the distant matter of the universe. The other is that our universe is finite. The picture of the world to which we are led is that of an enormous space-time Feynman diagram whose vertices are events. A consequence of finiteness is that between each pair of events, along a world line, there can be only finitely many intermediate events. A further change is that we are no longer required to believe that particles need be anywhere between events. The paper takes up nonrelativistic quantum theory in a way that is consistent with these ideas. By considering analogies between the Wiener and the Feynman integrals, and between the Wiener process and related discrete processes, there is obtained a straightforward theory for the Feynman integral. Propagators are worked out for many of the cases relevant to the nonrelativistic theory.The paper shows that, even when there are, along each world-line, no more than one event per Compton wavelength, agreement is good with the usual Schrödinger theory.Research supported in part by the NSF.     

Damping of excited molecules located above a metal surface

This paper presents numerical results of a theory for how excited molecules, located above a metal surface, are damped due to excitation of electron—hole pairs and bulk plasmons in the metal. The theory is compared with experiments for the special case of vibrationally excited molecules adsorbed directly on the metal surface.     

合金薄膜的临界磁场

本文把文献[2]的理论推广到含有杂质的超导薄膜情形,得出合金薄膜的二极相变临界磁场。本文得到的结果,在2d》ξ₀而l任意时,或者2d《ξ₀而l<<2d时,趋于Гинэбург-Ландау理论;在2d<ξ₀而l>2d时,与Гинэбург-Ландау理论不同(l是杂质所决定的电子平均自由程)。理论符合Blumbers实验。     

Memory function for dressed particles

This paper is concerned with the calculation of the memory function and derivation of a kinetic equation for one-body phase space correlation functions. The theory uses a one-body additive projection operator and a division of the Liouville operator with an unperturbed part that describes dressed particles. Binary collisions are neglected, for the theory aims at describing the screening and backflow effects of a type contained in the plasma kinetic theory of Balescu and Lenard. We obtain an explicit kinetic equation which is an improvement of these theories for the plasma case, and involves the exact equilibrium pair and triplet distributions. The equation also describes systems with strong short-range forces and shows how the screening effects occur in this case as well. The unifying function is the direct correlation function. The theory is meant to provide understanding for a more complete theory of fluids where a proper account is given of close collisions.Work supported by National Science Foundation, Grant No. GH 35691.     

Noise control by barriers—Part 2: Noise reduction by an absorptive barrier

This paper presents a method of estimating the excess attenuation of a noise by an absorptive barrier covered with sound-absorbing materials. The approximate theory of diffraction by the absorptive barrier is derived from rigorous theory for a hard barrier. A single chart, which may be very convenient for the rapid estimation of the effect of absorption (the increase of the excess attenuation caused by the absorbing treatment of the barrier) in the practice of noise control, is presented. The validity of the method developed in this paper is confirmed by comparing estimated with measured values.     

Gd2CuO4的远红外反铁磁共振理论

提出一个适用于奈耳温度6.4K以下,Gd₂CuO₄的远红外反铁磁共振理论.理论预言的结果与Kaplan等的实验符合. 关键词：     

Simulation model for anomalous precession of the perihelion of mercury's orbit

The ‘anomalous perihelion precession’ of Mercury, announced by Le Verrier in 1859, was a highly controversial topic for more than half a century and invoked many alternative theories until 1916, when Einstein presented his theory of general relativity as an alternative theory of gravitation and showed perihelion precession to be one of its potential manifestations. As perihelion precession was a directly derived result of the full General Theory and not just the Equivalence Principle, Einstein viewed it as the most critical test of his theory. This paper presents the computed value of the anomalous perihelion precession of Mercury's orbit using a new relativistic simulation model that employs a simple transformation factor for mass and time, proposed in an earlier paper. This computed value compares well with the prediction of general relativity and is, also, in complete agreement with the observed value within its range of uncertainty. No general relativistic equations have been used for computing the results presented in this paper.