Precision of configuration superposition parameters

A method of determining errors is described in the article for the configuration superposition parameters caused by the statistical part of the experimental data used. Specific examples of the use of this method are presented, and the results discussed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 44–46, October, 1991.     

Erratum to “The masses of charged leptons and quarks from superposition self-interference of their Dirac fields” by Gerald Rosen

The original version of the article was published in Central European Journal of Physics 9, 45–48 (2011), DOI: 10.2478/s11534-010-0061-5. Unfortunately, due to an editorial processing error the original version of this article contains a mistake in Eq. (5). Here we display the corrected version of this equation.     

Entropy and superposition principle

Given a faithful normal state ? of a von Neumann algebra M, entropy and relative entropy for normal states of M are defined by Radon-Nikodyn derivatives of normal states with respect to ?. Most properties of entropy and relative entropy in finite quantum systems are shown to hold. It is also shown that the finiteness of relative entropy is related to the facial superposition principle in quantum theory [5].     

Physical Foundations of Quantum Theory: Stochastic Formulation and Proposed Experimental Test—Addendum and Erratum

The Addendum of this note presents a brief perspective and an additional development pertaining to a previous paper. The even forceK _n as well as the odd forceK ₀ of the time-inversion-covariant (TIC) equation of motion in the presence of a magnetic field are derived from the results of the previous paper by a hint of generalization in classical physics. Then, by following identical steps as in the previous paper, the Addendum completes the derivation of the stochastic Hamilton-Jacobi and the Schrödinger equations in the electromagnetic field. The Erratum of our note points out minor typographical errors plus one clarification of a definition.     

Amplitude-N-power squeezing of pure superposition states

The N-order squeezing of the pure superposition states |a,β>_(mn)=a|m> β|n> is studied. We find that there is only N=n—m order squeezing for odd (n—m) except for (n—m)=1(m≥1) , but there are N=n—m order and N=(n—m)/2 order squeezings for even (n—m).     

Product of proposition-state structures preserving superposition

The notion of product is introduced in the framework of proposition-state structures. Central roles are played by the invariance of the superposition relation and the maximality property of the states under the interaction of physical systems.     

真空场注入非对称五态叠加多模泛函叠加态的高次振幅压缩

构造了由多模真空态、多模泛函相干态、多模泛函相干态的相反态、多模复共轭泛函相干态和多模复共轭泛函相干态的相反态这五个宏观上完全可分辩的量子态线性叠加所构成的强度不等的非对称五态叠加多模泛函叠加态光场|Ψ(5)vas〉q.利用多模压缩态理论,首次研究了态|Ψ(5)vas〉q的广义非线性等幂奇数次高次振幅压缩特性.结果发现:在一定的条件下,态|Ψ(5)vas〉q可呈现任意次的广义非线性等幂次高次振幅压缩效应,其压缩程度、压缩深度和压缩幅度与压缩次数、腔模总数、态间叠加几率幅、各模光场的经典强度以及经典初始相位的空间分布函数等强烈地非线性相关联;特别是,在特定条件下,真空场的注入可以提高压缩程度.     

任意两态叠加多模泛函叠加态光场的等幂次差压缩

构造了任意两态叠加多模泛函叠加态光场|ψ(2)f>q,利用多模辐射场广义非线性等幂次高次差压缩的一般理论,研究了态|ψ(2)f>q的广义磁场分量的非线性等幂次N次方差压缩特性.得到了一般理论结果,讨论了两种特殊两态叠加多模泛函叠加态光场的差压缩特性.结果表明:1)当qN为偶数时,第一类两态叠加多模泛函叠加态光场和虚相干两态叠加多模泛函叠加态光场都不出现广义磁场分量的非线性差压缩效应,也不处于N-j最小测不准态;2)当qN为奇数时,在一定条件下,任意两态叠加多模泛函叠加态光场中,广义磁场分量呈现出周期性变化的广义非线性N次方差压缩效应.     

Enveloping subspaces and superposition of states

In the space of pure states of a generic physical system, a family ? of subsets is singled out and used to extend the quantum-mechanical notion of “superposition” of pure states. ? possesses a natural lattice structure and corresponds to the lattice of closed subspaces of Quantum Mechanics.     

Axial superposition of Gaussian spherical beams

A novel model of beam formed by coherent superposition of two correlated Gaussian spherical beams with different centers is presented. This kind of beam has a transverse spreading smaller than a fundamental Gaussian beam. The beam quality factor is smaller than one.     

Linear superposition in nonlinear equations

Several nonlinear systems such as the Korteweg-de Vries (KdV) and modified KdV equations and lambda phi(4) theory possess periodic traveling wave solutions involving Jacobi elliptic functions. We show that suitable linear combinations of these known periodic solutions yield many additional solutions with different periods and velocities. This linear superposition procedure works by virtue of some remarkable new identities involving elliptic functions.     

High-order squeezing of pure superposition states

Ｈｉｇｈ－ｏｒｄｅｒｓｑｕｅｅｚｉｎｇｏｆｐｕｒｅｓｕｐｅｒｐｏｓｉｔｉｏｎｓｔａｔｅｓＭＡＡｉｑｕｎ（ＨａｒｂｉｎＣｏｌｌｅｇｅ，Ｈａｒｂｉｎ，１５００２０，Ｃｈｉｎａ）ＺＨＡＮＧＹａｎｘｕｎ（ＤｅｐａｒｔｍｅｎｔｏｆＰｈｙｓｉｃｓ，ＨａｒｂｉｎＮ...     

Time-temperature superposition in viscous liquids

Dielectric relaxation measurements on supercooled triphenyl phosphite show that time-temperature superposition (TTS) is obeyed for the primary relaxation process at low temperatures. Measurements on other molecular liquids close to the calorimetric glass transition indicate that TTS is linked to an omega(-1/2) high-frequency decay of the loss, while the loss peak width is nonuniversal.     

Performance analysis of superposition coded modulation

This paper presents a comprehensive analysis of superposition coded modulation (SCM). Two types of SCM schemes, i.e., the single-code SCM (SC-SCM) and multi-code SCM (MC-SCM), are analyzed. The basic features of SCM are described, followed by the information-theoretic analysis. Different encoding/decoding strategies are compared from the capacity point of view. A semi-analytical evolution technique is proposed to track the convergence behavior of iterative decoding. Analytical error-rate analysis is then conducted to predict the asymptotic performance. Numerous examples demonstrate that the analysis tools discussed in this paper can provide reasonably accurate performance prediction for SCM schemes.     

Generalized superposition of two squeezed states: generation and statistical properties

Superpositions of squeezed states were introduced by Sanders [Phys. Rev. A 39 (1998) 4284], Schleich et al. [Phys. Rev. A 38 (1988) 1177], Xin et al. [Phys. Rev. A 50 (1994) 2865], to investigate the occurrence of nonclassical properties of the quantized radiation field. In this report we present a generalized superposition state which interpolates between two arbitrary squeezed states. Nonclassical properties of this intermediate state as function of the interpolating parameters are studied, the previous results in the literature becoming a particularization of ours. An experimental proposal to generate this state is also presented.