不确定关系的经典类比

与量子力学不确定关系相类似的关系在经典力学中也存在。利用这关系计算了几个具体实例。从计算中可看出一个波函数经典极限下只能描述系综。 关键词：     

广义Heisenberg不确定关系

对广义Ｈｅｉｓｅｎｂｅｒｇ不确定关系的多种形式，讨论了它们的由来、意义与适应范围；这将有助于对这些关系式的恰当理解和运用。     

量子不确定关系中不确定度的不确定性

不确定关系是量子物理中的一个重要内容,如何在较少学时的理工科非物理专业大学物理课程中简洁地讲授这部分内容具有很大的挑战性.本文从给理工科非物理专业学生讲授量子不确定关系时所遇到的一些问题和解决办法入手,给出了不确定关系的几种引入方案,以求从不同的角度加深对不确定关系的理解.抛砖引玉,期望这能够给教师同仁们一些启迪.     

相干态的海森堡不确定关系验证实验

由于量子理论和实验的微观特性,导致海森堡不确定性原理的实验验证十分困难.针对这一问题,本文从光量子化入手,介绍了量子正交算符的海森堡不确定关系,通过平衡零拍技术探测了量子正交算符的方差,验证海森堡不确定性原理.实验结果表明:光场正交算符在相干态中具有最小不确定关系.通过该实验,学生在掌握海森堡不确定性原理的同时,了解量...     

经典守恒定律的量子力学推导

从量子力学出发,推出了经典动量守恒定律和能量守恒定律,并讨论了在微观领域经典守恒定律适用的条件.     

为什么不确定原理是量子力学的基本原理

首先给出了量子力学观测量用算子表示的物理基础，然后在此基础上说明为什么不确定原理是量子力学的基本原理。     

不确定原理及其应用

不确定原理是量子力学的重要原理之一。1927年,德国物理学家海森堡（1901—1976）在研究微观粒子“波粒二象性”的过程中提出了这一原理,其大意是：微观粒子在运动过程中不能像宏观物体那样有确定的运动轨迹,也就是说,微观粒子在运动过程中不能同时具有确定的时空位置和能量动量。若以△t、△x分别表示时空位置的不确定度,△E、△P分别表示能量动量的不确定度,则它们分别满足以下关系式：     

磁共振成像中的不确定关系

熟悉核磁共振的人也许会注意到,虽然在医学成像中没有对人体组织"显微",就是说,没有很强的分辨本领,但看过核磁图的人都知道,它通常能显示出人体中毫米量级的颗粒.那么这可不可以不受量子物理中的不确定关系的约束呢?让我们先来看一下核磁共振成像的原理.     

Unification theory of classical statistical uncertainty relation and quantum uncertainty relation and its applications

General classical statistical uncertainty relation is deduced and generalized to quantum uncertainty relation. We give a general unification theory of the classical statistical and quantum uncertainty relations, and prove that the classical limit of quantum mechanics is just classical statistical mechanics. It is shown that the classical limit of the general quantum uncertainty relation is the general classical uncertainty relation. Also, some specific applications show that the obtained theory is self-consistent and coincides with those from physical experiments.     

An alternative approach to calculate the density of states in nonextensive statistical mechanics

A relation between the generalized partition function (Tsallis) and density of states is established by using the method of integral transform which enables reducing some integral equations into the algebraic equations. Inverse Mellin transformation of this equation gives the density of states. Similar relation is also hold the for standard partition function (Boltzmann-Gibbs) and the density of states. Using these relations, we recover the density of states for the classical ideal gas within both statistics.     

Intrinsic localized modes of a classical discrete anisotropic Heisenberg ferromagnetic spin chain

We report several exact intrinsic localized mode solutions of the classical spin evolution equation of a one-dimensional anisotropic Heisenberg ferromagnetic spin chain in terms of Jacobian elliptic functions. These include one, two and three spin excitations. All these solutions have smooth anticontinuum limits. Their linear stability and semiclassical quantization are also discussed briefly.     

CDn体系DEPT谱线的理论研究

本文根据算符函数的幂级数展开,给出了描述高自旋弱耦合体系的积算符理论,并用来描述I_n S((1)/2)体系(其中I=1/2,1,…)的DEPT实验.给出I(1)_n S((1)/2)体系(例如CD_n)DEPT谱线的增益系数的普遍公式,并提出了用作图法得出谱线结构的方法.     

Kaniadakis Entropy Leads to Particle–Hole Symmetric Distribution

We discuss generalized exponentials, whose inverse functions are at the core of generalized entropy formulas, with respect to particle–hole (KMS) symmetry. The latter is fundamental in field theory; so, possible statistical generalizations of the Boltzmann formula-based thermal field theory have to take this property into account. We demonstrate that Kaniadakis’ approach is KMS ready and discuss possible further generalizations.     

Quantum Statistic Entropy of Three-Dimensional BTZ Black Hole

Using the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity, we investigate entropy of a black line on the background of the three-dimensional BTZ. In our calculation, we need not introduce cutoff and can remove the divergent term in the original brick-wall method via the new equation of state density. And it is obtained that the entropy of the black line is proportional to the area of the horizon (perimeter). Further it is shown the entropy of black line is the entropy of quantum state on the surface of horizon (perimeter). The black line entropy is the intrinsic property of the black hole. The entropy is a quantum effect. By using quantum statistical method, we directly obtain the partition function of Bose field and fermi field on the background of the black line. The difficulty to solve wave equation of various particles is avoided. We offer a new simple and direct way for calculating the entropy of various spacetime black holes (black plane, black line and black column). PACS 04.20.Dw; 97.60.Lf     

Calculating Entropy of Plane Symmetry Black Hole via Generalized Uncertainty Relation

The generalized uncertainty relation is introduced to calculate entropy of the black hole. By using quantum statistical method, we directly obtain the partition function of Bose and Fermi field on the background of the plane symmetry black hole. Then we calculate the entropy of Bose and Fermi field on the background of black hole near the horizon of the black hole. In our calculation, we need not introduce cutoff. There are not the left out term and the divergent logarithmic term in the original brick-wall method. And it is obtained that the entropy of the black hole is proportional to the area of the horizon. The inherent contact between the entropy of black hole and the area of horizon is opened out. Further it is shown the entropy of black hole is entropy of quantum state on the surface of horizon. The black hole’s entropy is the intrinsic property of the black hole. The entropy is a quantum effect.     

Kerr 时空黑洞熵和测不准关系

通过应用在量子引力中、由广义测不准关系得出的新的态密度方程,直接求解轴对称Kerr黑洞背景下Bose场和Fermi场的配分函数.然后,在黑洞视界附近计算黑洞背景下Bose场和Fermi场的熵.在所得结论中不存在用brick wall模型计算黑洞熵时出现的发散项,也不存在紫外因子.得到黑洞熵与视界面积成正比的结论.     

Letter: Dilatonic Black Hole Entropy Without Brick Walls

The properties of the thermal radiation are discussed by using the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity. There is no burst at the last stage of the emission of dilatonic black hole. When the new equation of state density is utilized to investigate the entropy of a bosonic field and fermionic field outside the horizon of a static dilatonic black hole, the divergence appearing in the brick wall model is removed, without any cutoff. It is derived from the contribution of the vicinity of the horizon that the entropy is proportional to the horizon area.     

轴对称黑洞的量子统计熵

避开了求解黑洞背景下波动方程的因难,应用量子统计方法,通过应用在量子引力中、由广义测不准关系得出的新态密度方程,直接求解轴对称Kerr黑洞背景下玻色场和费米场的配分函数.然后,在视界附近计算黑洞背景下玻色场和费米场的熵.得到用收敛级数表达的黑洞熵.在计算中不存在用brick wall模型计算黑洞熵时出现的发散项和小质量近似,使人们对非球对称时空中黑洞的统计熵有更深入的认识. 关键词： 量子统计 非球对称时空 广义测不准关系 黑洞熵