量子力学虚拟实验的MATLAB演示

量子力学是一门较抽象的科学.为了更直观、形象地展示量子力学中的一些物理原理和实验现象,本文利用MAT-LAB软件搭建了一个量子力学的虚拟演示平台,可以生动地演示电子双缝衍射、量子隧穿效应、氢原子电子云和斯塔克效应等现象.通过相关物理参数的输入以及物理现象的演示,可以使学生在量子力学的学习中获得更直观的教学感受.     

《量子力学原理》自序

记得在给 82级本科生讲量子力学时 ,有位学生问我 :“老师 ,你为什么不照着书讲 ?”这真是个很好的问题 ,因为它反映了对于量子力学的讲授和理解的现状 .大学物理系的学生恐怕都知道这样一句话 :学会了用量子力学解题 ,不一定就学懂了量子力学 .而在老师当中则流传着另一句话 :你教你的量子力学 ,我教我的量子力学 ,每个人都可以有他自己的量子力学 .当然这句话说得有点过头 ,不过在实际上关于量子力学讲法的版本也确实太多 ,而许多对量子力学原理理解上的争论在最后也都是不了了之 .到图书馆里去看看理论物理的教材和参考书 ,无论是国外还…     

浅析量子混沌教学

介绍了量子力学中量子混沌教学的重要内容和特点,这对帮助学生理解量子力学理论是非常重要的,同时也有利于培养学生的创新能力.     

农林专业量子力学知识的教学尝试

讨论了在农林专业如何进行量子力学教学的问题,认为用理论背后的故事来激发学生求知欲望,感染教育学生;使用类比方法提高学生思维能力;在教学中强调量子力学与经典力学的比较,让学生弄清量子力学研究的内容.     

基于MATLAB平台的量子力学三维图形设计及动画生成工具

为了更直观地展示量子力学中的一些静态图景和动态过程,我们设计了一个基于MATLAB平台的多达40多个界面、功能齐全、服务细致的量子力学三维图形设计及动画生成工具箱,该工具箱不仅给学生在学习量子力学中提供多样化的学习手段,也能给研究人员在科学计算及其图示化过程中提供直观的认识。     

工科专业的量子力学教学方法探索

主要从量子力学发展史,量子力学概念,多媒体技术运用,以及针对工科专业的实际应用4个方面,对工科专业的量子力学教学方法进行了探索,激发学生学习量子力学的兴趣,提高教学质量.     

从原子物理看量子力学

十几年前 ,有一次见到北京大学陈熙谋教授 ,交谈当中 ,发现大家都很关心原子物理课程的更新改革 .他说 ,北京大学有不少老师主张要在现代的理论基础上来讲原子物理 ,就必须在这门课上讲清楚量子力学的基本原理 ;然而 ,凡是理论物理出身的教师 ,都毫无例外地反对这样做 .他和我当然都赞同后一种意见 .事实上 ,我们可以看到国内出版的一些大讲量子力学原理的原子物理教材 ,每每是讲不清楚 ,并且常常是有严重错误的 .例如 ,有一本原子物理的内部教材里 ,居然讲到用Ｊ 和Ｊ- 算符去构造一般角动量的本征态这样比较深入的内容 ,而且竟然出现了把…     

双一流背景下研究生高等量子力学优质课程建设和改革探讨——以长沙理工大学为例

高等量子力学是物理学在读硕士研究生必修的专业基础课程之一.该课程具有较抽象、难理解、深奥等特点，学生学习起来相对困难，教学效果不佳，而优质的课程将会大大提高学生的学习效果.以长沙理工大学为例，从教学内容、教学方法、课程优势及特色、课程存在的问题及解决方法等各方面，详细介绍了建设高等量子力学优质课程的一些具体措施和方法.     

曾谨言教授的复信

关洪教授的《评曾谨言的量子力学教材》（以下简称《书评》）中涉及量子力学基本原理的诠释的不同观点的争论，还出现了一些对量子力学基本原理的不完全正确的表述．细心的量子力学教师同行会看出，这些表述并未出现在我编写的教材中．为此，就几个主要问题谈一下我的看法，请编辑部指正．     

常微分方程的不变式在量子力学中的应用

利用常微分方程的不变式，非常方便地求解了一些量子力学问题。     

Facts,Values and Quanta

Quantum mechanics is a fundamentally probabilistic theory (at least so far as the empirical predictions are concerned). It follows that, if one wants to properly understand quantum mechanics, it is essential to clearly understand the meaning of probability statements. The interpretation of probability has excited nearly as much philosophical controversy as the interpretation of quantum mechanics. 20th century physicists have mostly adopted a frequentist conception. In this paper it is argued that we ought, instead, to adopt a logical or Bayesian conception. The paper includes a comparison of the orthodox and Bayesian theories of statistical inference. It concludes with a few remarks concerning the implications for the concept of physical reality.     

量子力学混合态表象

在以往的文献中量子力学的表象都是纯态表象,在本文中我们从算符的合理排序和概率统计的正态分布思想出发,首次提出了量子力学混合态表象的概念,并证明了其完备性和正交性.量子力学混合态表象的优点是可以反映算符的多种表示以及其相应的排序规则.     

A Continuous Transition Between Quantum and Classical Mechanics. I

In spite of its popularity, it has not been possible to vindicate the conventional wisdom that classical mechanics is a limiting case of quantum mechanics. The purpose of the present paper is to offer an alternative formulation of mechanics which provides a continuous transition between quantum and classical mechanics via environment-induced decoherence.     

Wave Mechanics or Wave Statistical Mechanics

By comparison between equations of motion of geometrical optics and that of classical statistical mechanics, this paper finds that there should be an analogy between geometrical optics and classical statistical mechanics instead of geometrical mechanics and classical mechanics. Furthermore, by comparison between the classical limit of quantum mechanics and classical statistical mechanics, it finds that classical limit of quantum mechanics is classical statistical mechanics not classical mechanics, hence it demonstrates that quantum mechanics is a natural generalization of classical statistical mechanics instead of classical mechanics. Thence quantum mechanics in its true appearance is a wave statistical mechanics instead of a wave mechanics.     

Wave Mechanics or Wave Statistical Mechanics

By comparison between equations of motion of geometrical optics and that of classical statistical mechanics, this paper finds that there should be an analogy between geometrical optics and classical statistical mechanics instead of geometrical mechanics and classical mechanics. Furthermore, by comparison between the classical limit of quantum mechanics and classical statistical mechanics, it finds that classical limit of quantum mechanics is classical statistical mechanics not classical mechanics, hence it demonstrates that quantum mechanics is a natural generalization of classical statistical mechanics instead of classical mechanics. Thence quantum mechanics in its true appearance is a wave statistical mechanics instead of a wave mechanics.     

力学综合课程建设的研究和实践

简述了我校物理系进行力学综合课程建设的基本思想和措施，以及建立将普通物理力学、理论力学和量子力学基础综合成一门课程的新的教学内容结构体系的具体做法．这样做，不但大大减少了重复内容和课时。而且有助于学生从整体上把握力学理论的基本框架，有助于培养学生的综合研究能力和创新能力。     

Maximally causal quantum mechanics

We present a new causal quantum mechanics in one and two dimensions developed recently at TIFR by this author and V Singh. In this theory both position and momentum for a system point have Hamiltonian evolution in such a way that the ensemble of system points leads to position and momentum probability densities agreeing exactly with ordinary quantum mechanics     

TIME-REVERSAL SYMMETRY AND TIME-DEPENDENT PHYSICS

In this letter I study the concept of time-reversal invariance in both classical and quantum physics in the absence of time-translation invariance (explicit time dependence/external time-dependent fields). Accordingly I generalize the concept of time-reversed process when the time-origin of the process has physical significance. The cases of classical physics, standard quantum mechanics and time-neutral quantum mechanics with and without explicit time dependence are discussed.     

Typicality vs. Probability in Trajectory-Based Formulations of Quantum Mechanics

Bohmian mechanics represents the universe as a set of paths with a probability measure defined on it. The way in which a mathematical model of this kind can explain the observed phenomena of the universe is examined in general. It is shown that the explanation does not make use of the full probability measure, but rather of a suitable set function deriving from it, which defines relative typicality between single-time cylinder sets. Such a set function can also be derived directly from the standard quantum formalism, without the need of an underlying probability measure. The key concept for this derivation is the quantum typicality rule, which can be considered as a generalization of the Born rule. The result is a new formulation of quantum mechanics, in which particles follow definite trajectories, but which is based only on the standard formalism of quantum mechanics.