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Quantum-classical correspondence for the inverted oscillator

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Chinese Physics C 2017年第11期41卷 56-62页

作者： Mustapha maamache Jeong Ryeol Choi Laboratoire de Physique Quantique et Systèmes Dynamiques Faculté des SciencesUniversité Ferhat Abbas Sétif 1 Sétif 19000 Department of Radiologic Technology Daegu Health College

While quantum-classical correspondence for a system is a very fundamental problem in modern physics,the understanding of its mechanism is often elusive,so the methods used and the results of detailed theoretical analysis have been accompanied by active *** this study,the differences and similarities between quantum and classical behavior for an inverted oscillator have been analyzed based on the description of a complete generalized Airy function-type quantum wave *** inverted oscillator model plays an important role in several branches of cosmology and particle *** quantum wave packet of the system is composed of many sub-packets that are localized at different positions with regular intervals between *** is shown from illustrations of the probability density that,although the quantum trajectory of the wave propagation is somewhat different from the corresponding classical one,the difference becomes relatively small when the classical excitation is sufficiently *** have confirmed that a quantum wave packet moving along a positive or negative direction accelerates over time like a classical *** these main interpretations and others in the text,we conclude that our theory exquisitely illustrates quantum and classical correspondence for the system,which is a crucial concept in quantum mechanics.

关键词： quantum-classical correspondence inverted oscillator quantum wave packet

Nonlinear description of Yang-Mills cosmology： cosmic inflation and the accompanying Hannay's angle

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Chinese Physics C 2017年第6期41卷 115-121页

作者： Yacine Bouguerra Mustapha maamache Jeong Ryeol Choi Laboratoire de Physique Quantique et Systèmes Dynamiques Faculté des SciencesUniversite Ferhat Abbas Setif 1 Setif 19000 Algeria Département de Physique Facultédes Sciences Université de Jijel BP 98Ouled Aissa Jijel 18000 Algeria Department of Radiologic Technology Daegu Health College Yeongsong-ro 15 Buk-gu Daegu 41453 Republic of Korea

Hannay＇s angle is a classical analogue of the ＂geometrical phase factor＂ found by Berry in his research on the quantum adiabatic theorem. This classical analogue is defined if closed curves of constant action variables return to the same curves in phase space after an adaibatic evolution. Adiabatic evolution of Yang-Mills cosmology, which is described by a time-dependent quartic oscillator, is investigated. Phase properties of the Yang-Mills fields are analyzed and the corresponding Hannay＇s angle is derived from a rigorous evaluation. The obtained Hannay＇s angle shift is represented in terms of several observable parameters associated with such an angle shift. The time evolution of Hannay＇s angle in Yang-Mills cosmology is examined from an illustration plotted on the basis of numerical evaluation,and its physical nature is addressed. Hannay＇s angle, together with its quantum counterpart Berry＇s phase, plays a pivotal role in conceptual understanding of several cosmological problems and indeed can be used as a supplementary probe for cosmic inflation.

关键词： Yang-Mills cosmology Hannay angle time-dependent quartic Hamiltnian inflation

Generalized Coherent States of a Particle in a Time-Dependent Linear Potential

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Chinese Physics Letters 2009年第7期26卷 36-39页

作者： L. Krache M. maamache Y. Saadi A. Beniaiche Lab PQSD Faculté des Sciences Université Ferhat Abbas de Sétif Sétif 19000 Algeria Lab SPONL Faculté des Sciences de l'Ingénieur Université Ferhat Abbas de Sétif Sétif 19000 Algeria

We derive, with an invariant operator method and unitary transformation approach, that the Schr6dinger equation with a time-dependent linear potential possesses an infinite string of shape-preseving wave-packet states 1φ,λ （t） having classical motion. The qualitative properties of the invariant eigenvalue spectrum （discrete or continuous） are described separately for the different values of the frequency ω of a harmonic oscillator. It is also shown that, for a discrete eigenvalue spectrum, the states 1φ,λ （t） could be obtained from the coherent state 1φ,λ （t）.

关键词： Mathematical physics Quantum information and quantum mechanics

Influence of Auxiliary Equation on Wave Functions for Time-Dependent Pauli Equation in Presence of Aharonov-Bohm Effect

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Communications in Theoretical Physics 2009年第5期51卷 803-810页

作者： M.maamache C.Lahoulou Y.Saadi Laboratoire

为分离或连续的光谱特征值和单一的转变途径的不变的操作员方法被采用在 Aharonov Bohm 效果(AB ) 和外部分级的潜力的存在学习二维的时间依赖者泡利不相容原理方程。为旋转粒子，有磁场的问题是它在起源介绍奇特进波浪方程。物理动机... 详细信息

为分离或连续的光谱特征值和单一的转变途径的不变的操作员方法被采用在 Aharonov Bohm 效果(AB ) 和外部分级的潜力的存在学习二维的时间依赖者泡利不相容原理方程。为旋转粒子，有磁场的问题是它在起源介绍奇特进波浪方程。物理动机是由半径 R 之一代替零个半径流动试管，与磁场被限制到试管的表面的另外的条件，然后拿限制 R →0 在计算的结束。我们指不变的操作员必须包含步骤功能 θ(r R ) 。因而，这个问题变得更复杂。以便避免这个困难，我们由 ρ(t) R 代替半径 R，在 ρ(t) 是一个积极时间依赖者的地方，工作。然后，在计算的结束，我们拿限制 R →0。为不变的操作符光谱的质的性质为在 ρ(t) 满足的非线性的辅助方程出现的参数 C 的不同的值独立被描述，即， C > 0， C = 0，并且 C 0 ) 或连续(C ≤0 ) 。

关键词：辅助方程波函数时间依赖性时变注册商标变换方法波动方程阶跃函数

A new experimental way for the monitoring of the real/equivalent inservice- time of double base rocket propellant by coupling VST and PCA

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Defence Technology（防务技术） 2021年第2期17卷 440-449页

作者： Salim Chelouche Djalal Trache Ilyas maamache Ahmed Fouzi Tarchoun Kamel Khimeche Abderrahmane Mezroua UER Procedes Energetiques Ecole Militaire PolytechniqueEMPBP 17 Bordj-El-Bahri16046AlgiersAlgeria

The assessment of the real in-service-time(RIST)and the equivalent in-service-time(EIST)of double base rocket propellants(DBRPs)is of utmost importance for the safe storage and use of weapon systems as well as the efficiency of the accelerated aging *** this work,four DBRPs with similar chemical composition and different natural aging have been artificially aged at T?338.65 K for 4 months with sampling every 30 *** unaged and artificially aged samples have been investigated by vacuum stability test(VST)at five isothermal temperatures(T?333.15 K,343.15 K,353.15 K,363.15 K,and 373.15 K).The volume of the evolved gases in VST was found to decrease with natural/artificial ***,the VST data were treated and subjected to principal component analysis(PCA).The results showed excellent discrimination of the DBRP samples according to their stability thermal *** of the variance was described by the first principal component(PC1)whose scores were linearly correlated with the natural aging durations when PCA is applied on VST data obtained at T?363.15 *** light of the obtained results,a new experimental way for the estimation of the real/equivalent IST was proposed,which takes into account the impact of the natural aging of the *** approach predicts successfully the RIST of two similar DBRPs with a relative deviation of less than 2%.At the specific heating temperature T?338.65 K,the developed model provides more conceivable EIST values,with asymptotic behavior against artificial aging duration evolution,thus overcoming some shortcomings of the common generalized van’t Hoff formula(GvH).

关键词： Chemometrics van’t hoff rule Natural aging Artificial aging Stability Storage