Axioms for quantum theory

The first three of these axioms describe quantum theory and classical mechanics as statistical theories from the very beginning. With these, it can be shown in which sense a more general than the conventional measure theoretic probability theory is used in quantum theory. One gets this generalization defining transition probabilities on pairs of events (not sets of pairs) as a fundamental, not derived, concept. A comparison with standard theories of stochastic processes gives a very general formulation of the non existence of quantum theories with hidden variables. The Cartesian product of probability spaces can be given a natural algebraic structure, the structure of an orthocomplemented, orthomodular, quasi-modular, not modular, not distributive lattice, which can be compared with the quantum logic (lattice of all closed subspaces of an infinite dimensional Hubert space). It is shown how our given system of axioms suggests generalized quantum theories, especially Schrödinger equations, for phase space amplitudes.     

Axioms for Euclidean Green's functions

We establish necessary and sufficient conditions for Euclidean Green's functions to define a unique Wightman field theory.Supported by the National Science Foundation under grant GP 31239X.Supported in part by the Air Force Office of Scientific Research, contract AF 44620-70-C-0030.     

Axioms for nonrelativistic quantum mechanics

On the basis of the axioms assumed it is proved that the logic of propositions concerning any quantum-mechanical system may be endowed with the structure of an orthomodular atomistic complete lattice satisfying the covering postulate, and hence, as a consequence of these axioms, the Piron-MacLaren representation theorem for the logic is obtained.     

Particle Growth in an Experimental Dusty Plasma System

The coagulation and growth process of dust particles is investigated through laboratory experiment in a plasma system. A large number of dust particles with different sizes and shapes are formed. The growth process is characterized by the scattering laser intensity and fractal dimension. The comparisons of dust particles and scattering laser intensity obtained at different rf powers are presented. The three-dimensional distribution of dust particles is also given. These results provide an experimental basis for dust growth investigation.     

Simple Axioms for Orthomodular Implication Algebras

Simple, independent axioms for orthomodular implication algebras are presented.     

Axioms for Euclidean Green's functions II

We give new (necessary and) sufficient conditions for Euclidean Green's functions to have analytic continuations to a relativistic field theory. These results extend and correct a previous paper.with an Appendix by Stephen SummersSupported in part by the National Science Foundation under Grant MPS 73-05037 A01.Alfred P. Sloan Foundation Fellow.     

Quantum Theory from Four of Hardy's Axioms

In a recent paper [e-print quant-ph/0101012], Hardy has given a derivation of quantum theory from five reasonable axioms. Here we show that Hardy's first axiom, which identifies probability with limiting frequency in an ensemble, is not necessary for his derivation. By reformulating Hardy's assumptions, and modifying a part of his proof, in terms of Bayesian probabilities, we show that his work can be easily reconciled with a Bayesian interpretation of quantum probability.     

Simple New Axioms for Quantum Mechanics

The space of pure states of any physical system,classical or quantum, is identified as a Poisson spacewith a transition probability. These two structures areconnected through unitarity. Classical and quantum mechanics are each characterized by asimple axiom on the transition probability p. Unitaritythen determines the Poisson bracket of quantum mechanicsup to a multiplicative constant (identified with Planck's constant).     

Spin Axioms in Different Geometries of Relativistic Continuum Physics

The 24 components of the relativistic spin tensor consist of 3 + 3 basic spin fields and 9 + 9 constitutive fields. Empirically only three basic spin fields and nine constitutive fields are known. This empirem can be expressed by two spin axioms, one of them denying purely relativistic spin fields, and the other one relating the three additional basic fields and the nine additional constitutive fields to the known (and measurable) ones. This identification by the spin axioms is material-independent and does not mix basic spin fields with constitutive properties. The approaches to the Weyssenhoff fluid and the Dirac-electron fluid found in literature are discussed with regard to these spin axioms. The conjecture is formulated, that another reduction from six to three basic spin fields which does not obey the spin axioms introduces special material properties by not allowed mixing of constitutive and basic fields.     

Axioms for renormalization in Euclidean quantum field theory

A set of axioms which fix Euclidean renormalizations up to a finite renormalization is proposed. There exists a one to one correspondence between Euclidean renormalizations and renormalizations in Minkowski space-time satisfying Hepp's axioms. No restrictions on masses are imposed.     

Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms

Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing experimentally observable properties of probability distributions for the outcome of measurements. Axioms I, II, III are common to quantum mechanics and hidden variable theories. Axiom IV recognizes a phenomenon, first noted by von Neumann (in Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, 1955) and independently by Turing (Teuscher and Hofstadter, Alan Turing: Life and Legacy of a Great Thinker, Springer, Berlin, 2004), in which the increase in entropy resulting from a measurement is reduced by a suitable intermediate measurement. This is shown to be impossible for local hidden variable theories. Axiom IV, together with the first three, almost suffice to deduce the conventional rules but allow some exotic, alternatives such as real or quaternionic quantum mechanics. Axiom V recognizes a property of the distribution of outcomes of random measurements on qubits which holds only in the complex Hilbert space model. It is then shown that the five axioms also imply the conventional rules for any finite dimension.     

Axioms for statistical physical theories and GL-spaces

The paper contains an axiomatic formulation of statistical physical theories, which may be considered as an alternative to the famous Mackey's approach. In contrast to the Mackey's axiomatics, in which the so-called propositional logic appears as a basic object, our approach takes the partially ordered vector space spanned by states of a physical system as a starting point. The propositional logic appears then as a set of positive functionals on this space.     

军用运输机机舱有源消声实验系统的设计与实现

为验证有源消声技术在军用运输机机舱低频噪声消除方面的有效性,设计和实现了一套机舱有源消声实验系统。采用“激振器+舱壁板”方式实现了飞机螺旋桨对机舱诱导噪声的声源模拟,设计了基于前馈控制结构的自适应有源噪声控制系统,构建了基于FX-LMS算法的自适应消声控制器,采用监测麦克风组对舱内空间的消声效果进行监测。实验结果验证了自适应有源噪声控制技术在军用飞机舱室消声降噪领域的有效性,并表明初、次级声源间距对自适应有源消声系统的消声效果具有重要的影响。     

The Connection Between the Bogoliubov and Hepp Axioms in Renormalization Theory

In this paper, a rigorous proof is given to the connection between Bogoliubov and Hepp axioms in renormalization theory following a line of argument indicated by Speer. A number of technical points treated summarily in the literature and needed for the main result are elaborated in detail.     

The Phase Space Formalism for Quantum Mechanics and C* Axioms

On any quantum mechanical Hilbert space, the phase space localization operators form a set of operators that are both physically motivated and form the groundwork for a C* algebra. This set is shown to be informationally complete in the original Hilbert space. We also revisit the relation between having a complete set of eigenvectors, commutability and compatibility. Dedicated to G.G. Emch.     

P(ϕ) 2 Quantum Field Theories and Segal’s Axioms

The purpose of this paper is to show that P(ϕ) ₂ Euclidean quantum field theories satisfy axioms of the type advocated by Graeme Segal.     

标准化、网络化的大学物理实验预习系统的实现

基于标准化、网络化的原则制作的大学实验预习系统,能很好的解决了这些问题,详细介绍了如何利用Photoshop,Flash等软件实现大学物理实验预习系统的标准化、网络化,形成一个的知识性、操作性、美观性更强的实验预习系统。     

太阳能跟踪系统的实验设计

实验系统由输入设备(光敏三极管等)、控制设备(单片机)和输出执行设备(舵机)构成。分布在180度方向范围内的多个光敏三极管接收不同角度的光线强度,转换为电信号。单片机将该电信号与输入的控制脉冲信号进行比对,产生纠正脉冲信号,并驱动电机反向或正向转动,使得太阳板时刻与光线垂直,提高了太阳板光电转换效率。     

Experimental investigation of an air-magnetic-liquid resonator

Experimental results obtained by studying a vibratory system in which a magnetic liquid playing the role of a mass shuts off the cross section of a tube under the effect of a magnetic field and is spring-loaded by an air cavity and elasticity of ponderomotive type are discussed. An expression for the resonant frequency of vibrations is derived with allowance for both types of elasticity. The expression agrees well with the experimental data.