In the part of basic concepts , we discuss the connotations of information and ir , and then explain the features of information costs in terms of economics . a conclusion that information value is uncertain is reached . also , we build an information welfare model 在基本概念部分界定了信息与信息资源的涵义，从经济学角度对信息成本特性进行了说明，提出了信息价值的测不准关系，建立了信息福利模型。
Only quantum mechanics can provide the answer : the particle ' s position will have an uncertainty that follows the heisenberg uncertainty principle , such that it might not really reach the singularity and thus escape the possible collapse to infinite density 只有量子力学可以提供答案：粒子的位置将具有不确定性，它们遵守海森堡测不准原理，因而它可能不是真的达到奇异而因此逃逸了可能的坍塌达到无限密度。
Quantum cryptography ( qc ) is the combination of classical cryptography and quantum mechanics . the characteristics of quantum mechanics , such as no - cloning theorem and heisenberg ' s uncertainty principle , provide the perfect secrecy for quantum cryptographic communication 量子密码学是密码学与量子力学结合的产物,利用量子不可克隆定理和海森堡测不准原理等量子特性，量子密码通信理论上已经证明是绝对安全。
The coherent state is represented by a minimum uncertainty wave packet , the quantum correlation in these state is absent , so that it behaves as a quasi - classical state . it is such a property that leads to the results coincide completely with those obtained in semiclassical approximation 正是因为相干态是一个量子力学允许的最小的测不准波包，没有任何量子关联，可以看作是一个准经典态，才导致了完全量子场论和半经典近似下理论结果的完全一致性。
So in normal atoms with electrons in stationary states , the probability of the electron being within the nucleus ( or somewhere else in atom within similarly small volume ) is nearly zero according to the uncertainty principle ( it is nearly zero as the nucleus has a volume and is not a point ) 因此在正常具有电子的原子里处于稳定状态，电子在核内的概率(或者处于原子里的某处类似小体积)是几乎为零按照测不准原理(它几乎为零如同核子具有体积而不是零那样) 。
The influences of the atomic coherence and the intensity of the field on the quantum information entropy squeezing of the atomic dipoles are investigated in detail . the comparing the numerical results obtained from the uncertainty relation of heisenberg ( hur ) to those from the uncertainty relation of the quantum information entropy ( eur ) proves the triviality of hur with exact examples 具体考虑原子相干性和光场强度对原子信息熵压缩的影响，并且比较了分别从基于信息熵测不准关系和海森堡测不准关系出发得出的结果，从实例中证明信息熵压缩克服了标准偏差压缩的平庸性。
The termless security of quantum cryptographic key protocol is based on the quantum non - clone principle and heisenberg uncertainty principle . whilst , these two characteristics mentioned above contributes greatly to solve the problems of low transmitting rate , complicated operation and forge - identity assault in the bb84 protocol 量子密钥协议的无条件安全性能主要建立在量子不可克隆定理和heisenberg的测不准原理两大理论基础上的，但也正是由于量子的这两种特性导致在bb84协议中存在了传输效率低下、操作复杂、假冒身份攻击等方面的问题。
This probability cloud obeys a quantum mechanical principle called heisenberg ' s uncertainty principle , which states that there is an uncertainty in the classical position of any subatomic particle , including the electron ; so instead of describing where an electron or other particle is , the entire range of possible values is used , describing a probability distribution 这个概率云服从所谓的海森堡测不准原理的量子力学原理，原理表明任何亚原子微粒包括电子经典位置具有不确定性；因而代替描述电子或其它微粒所处位置，用全部范围里的概率值描述概率分布。
At the same time , the coordinate representation also can be exploited in calculating thermal non - classical states recently , such as coherent state . basing on the correlative theory , and within the framework tfd , we calculate rindler oscillator ' s information - entropy in the coordinate representation , and discuss the relation of its general uncertainty relationship and information - entropy , especially the relation of its thermal fluctuation and information - entropy 在相关理论的基础上，本文一方面利用热场动力学，在坐标表象下计算出了与一维rindler谐振子的位子和动量有关的信息熵，并给出了信息熵与一维rindler谐振子的广义测不准关系，特别是与热扰动之间的联系。
Through leading and publish and examine and forbid relation determinism and that the double meaningses of determinism prove " examining and forbid and classical sports compatible law relation " , suppose and reduce a lot of of quantum mechanics to one basically on the basis of this , thus beautified quantum mechanics greatly 通过导出测不准关系具有决定论和非决定论的双重意义而论证了“测不准关系与经典运动规律兼容” ，在此基础上将量子力学的多个基本假设缩减至一个，从而大大美化了量子力学。
