基于狭义相对论的氢原子基态能量分析

基于狭义相对论的基本观点,在Bohr-Sommerfeld量子理论的基础上研究了氢原子的基态能量,得到了一个计算氢原子基态能量的公式.结果表明,计算推导出的氢原子基态能量与氢原子的狄拉克精细结构基态能量符合得非常好,研究结果对人们进一步认识氢原子的内部结构具有重要的意义.     

1927年2月：海森堡的测不准原理

1927年2月,年轻的海森堡（Werner Heisenberg）发展出了量子理论中的一个主要关键——测不准原理,涵义极为深远。 1901年12月,海森堡诞生于德国一个中上阶级的学术家庭。孩童时期,他喜欢数学和科技小机件,老师们都认为他极有天赋。     

谈谈测不准关系

 自1927年海森伯首先提出测不准关系,经历了大半个世纪,对它的解释一直有争论。近30年来才逐渐取得一致,使之成为量子力学的重要内容。量子力学是现代物理学的理论支柱之一,被广泛地应用于化学、生物学、电子学及高新技术等许多领域。在大学物理中讲授测不准关系等量子力学初步知识,对帮助学生认识和分析微观粒子运动规律是很有必要的。     

科学讨论与海森伯的测不准原理

通过对物理学有关史实的分析,论证了科学讨论在海森伯成才过程和测不准原理创建过程中所起的重要、关键作用,科学讨论是培养创造性人才和进行科技创新活动的有效途径。     

测不准关系的证明

采用一种新方法对量子力学中两力学量间测不准关系作了重新证明 ,所得结果更合理更具普遍意义 ;对时间与能量间测不准关系介绍了一种简明扼要的证明方法     

测不准关系和最小不确定态

利用力学量算符的厄密性和希尔伯特状态矢量模的非负性，重新给出了关于测不准关系的数 学证明.简单的证明过程不仅揭示了测不准关系某些经常被忽视的特征，而且还可以直接给 出最小不确定态的充要条件.在此基础上，我们提出了对易子为非零常数的任意一对力学量 的最小不确定态问题，并且采用玻色型产生和湮没算符给出了它们的压缩态的明显表达式. 关键词： 海森堡测不准原理 最小不确定态 压缩态     

氩原子基态波函数和能量的解析计算

以第一性原理和变分原理为基础,给出了氩原子基态波函数的一种解析表达式,计算了基态氩原子(含类氩离子)的能量,导出了所涉及的所有积分的解析表达式.对氩原子,所得到的能量理论值与实验值的相对误差为0.22%.     

Properties of Coherent State for Hydrogen Atom

We construct the coherent state for the two-dimensional hydrogen atom, for which the averaged motion ofposition describes a Kepler ellipse. The coherent state can be expanded with respect to the eigenstates of 2D hydrogenatom, from which we evaluate the binding energy of the wave packet for this state.     

Energy Spectrum of a Two-Parameter Deformed Hydrogen Atom

Utilizing the dynamic symmetry of thetwo-parameter deformed (q, s-deformed) quantum groupSO(4)_q,s, the q, s-deformed hydrogen atom istransformed into a 4-dimensional q, s-deformed isotropicoscillator subjected to a constraint condition, and theenergy spectrum of the q, s-deformed hydrogen atom isderived.     

Quantum Discord of Two-Qubit Thermal State in Hydrogen Atom

The geometric measure of quantum discord (GMQD) is used to study the quantum correlation in a two-qubit thermal state in hydrogen atom. External magnetic field can destroy the initial symmetry of the state and further change its degeneracy structure. The dependence of the quantum correlation on temperature and magnetic field is discussed.     

On the Stability and Thermodynamics of the Dark Energy Based on Generalized Uncertainty Principle

The new agegraphic Dark Energy (NADE) model (based on generalized uncertainty principle) interacting with Dark Matter (DM) is considered in this study via power-law form of the scale factor a(t). The equation of state (EoS) parameter ω _G is observed to have a phantom-like behaviour. The stability of this model is investigated through the squared speed of sound $v_{s}^{2}$ . It is found that $v_{s}^{2}$ always stays at negative level. This indicates instability of the considered model. Moreover, validity of the generalized second law of thermodynamics has been investigated assuming that the apparent horizon is the enveloping horizon. It has been observed that the generalized second law is valid throughout the evolution of the universe.     

微扰法计算中等强磁场中氢原子的能级

本文在考虑氢原子轨道运动磁矩与磁场之间、自旋磁矩与磁场之间和感生磁矩与外磁场之间的相互作用的基础上,根据角动量和球谐函数的性质,应用简并态微扰方法研究了在中等强磁场中氢原子的能级,给出了计算中等强磁场中氢原子的一级近似能级的方法,具体计算了 T范围内氢原子 的各能级的数值,结果与有关文献给出的理论计算值是相近的,表明本文所给出的方法是简单的、计算结果是正确的。     

Energy of a Two-Dimensional Helium Atom in an Excited State

Russian Physics Journal - Using perturbation theory methods and a variational method, we have calculated the energy of a twodimensional helium atom in its lower excited states, this energy showing...     

氢原子及类氢原子的双波描述

采用双波量子理论对氢原子及类氢原子进行了双波函数描述，讨论了其经典极限。证明了双波函数满足波函数的归一化条件。在双波函数描述下，能量和角动量F的平均值为En和mh。同时求出了r，cosθ,sinθ,cosψ，sinψ和X，Y，Z在双波函数描述的平均值。对力学量f求统计平均值的结果表明，单波函数描述的是氢原子及类氢原子系统的运动状况。只有双波函数描述的是单个粒子的运动状况。     

Classical Dynamics Based on the Minimal Length Uncertainty Principle

In this paper we consider the quadratic modification of the Heisenberg algebra and its classical limit version which we call the β-deformed Poisson bracket for corresponding classical variables. We use the β-deformed Poisson bracket to discuss some physical problems in the β-deformed classical dynamics. Finally, we consider the (α,β)- deformed classical dynamics in which minimal length uncertainty principle is given by \( [ \hat {x} , \hat {p}] = i \hbar (1 + \alpha \hat {x}^{2} + \beta \hat {p}^{2} ) \). For two small parameters α,β, we discuss the free fall of particle and a composite system in a uniform gravitational field.     

Hyperfine Splitting in Non-relativistic QED: Uniqueness of the Dressed Hydrogen Atom Ground State

We consider a free hydrogen atom composed of a spin- ${\frac{1}{2}}$ nucleus and a spin- ${\frac{1}{2}}$ electron in the standard model of non-relativistic QED. We study the Pauli-Fierz Hamiltonian associated with this system at a fixed total momentum. For small enough values of the fine-structure constant, we prove that the ground state is unique. This result reflects the hyperfine structure of the hydrogen atom ground state.