…chemistry. Softley' Atomic Spectra and Keeler's Why Chemical Reactions Happen are phenomenal primers too but are a bit smaller in scope than the aforementioned two. The same Atkins from above also wrote Molecular Quantum Mechanics which is also a solid text
Molecular Quantum Mechanics by PW Atkins and RS Friedman Kind of a niche subject but this one really stands out. The prerequisites are a fairly solid understanding of linear algebra and differential and integral calculus. It's…
…addressed in the clear-cut cases often presented in introductory QM textbooks. I can't think of any must-read references right now, but if you're interested in this kind of thing I know of two books on molecular quantum mechanics; one by McWeeney (methods of molecular quantum mechanics) and one by Atkins (molecular quantum mechanics), which I haven't read myself, but I hear it's good. I don't know of any free online sources for…
…up with post hoc arguments and simplified narratives, and I think it it just makes life harder for undergraduate students. Maybe 'history of science' should be its own subject? Some textbooks (e.g. Molecular Quantum Mechanics, Atkins & Friedman) take a more nuanced view. They present failures of classical calculations of the heat capacity of solids near absolute zero side by side with blackbody radiation: > "Einstein recognized…
…this brings us into the realm of numerical solutions, group theory symmetry arguments, and so on. If you find this subject interesting I suggest getting your hands on a copy of PW Atkins / RS Friedman "Molecular Quantum Mechanics" and perhaps also PCW Davies semi-pop-sci-but-with-way-too-many-equations (1979) "The forces of nature". (doesn't cover molecules though is great on background) https://www.amazon.com/Forces-Nature-P-C-Davies/dp/052131392...…
…of an observable, with an eigenfunction being a special kind of operator-function relationship. At the end, there's a nice non-QM application (Fourier transforms). source: PW Atkins & RS Friedman, "Molecular Quantum Mechanics 3rd Ed" > An observable is any dynamical variable that can be measured... in classical mechanics... observables are represented by functions* (such as position as a function of time), in quantum mechanics…
……化学。Softley 的《Atomic Spectra》和 Keeler 的《Why Chemical Reactions Happen》也是极佳的入门书,不过涵盖的范围比前面提到的两本要小一点。前面提到的那位 Atkins 还写了《Molecular Quantum Mechanics》,同样是一本很扎实的好书
…chemistry. Softley' Atomic Spectra and Keeler's Why Chemical Reactions Happen are phenomenal primers too but are a bit smaller in scope than the aforementioned two. The same Atkins from above also wrote Molecular Quantum Mechanics which is also a solid text
PW Atkins 和 RS Friedman 写的《Molecular Quantum Mechanics》。算是一个挺小众的领域,但这本真的很出彩。预备知识是需要相当扎实的线性代数和微积分基础。它……
Molecular Quantum Mechanics by PW Atkins and RS Friedman Kind of a niche subject but this one really stands out. The prerequisites are a fairly solid understanding of linear algebra and differential and integral calculus. It's…
……在入门级量子力学教材里常常给出的那些非黑即白的案例中并没有得到探讨。我现在想不起什么必读的参考资料,但如果你对这类东西感兴趣,我知道有两本关于分子量子力学的书;一本是 McWeeney 写的(分子量子力学方法),另一本是 Atkins 写的(分子量子力学),后面这本我自己没读过,但我听说很不错。我不知道有什么免费的在线资源可以……
…addressed in the clear-cut cases often presented in introductory QM textbooks. I can't think of any must-read references right now, but if you're interested in this kind of thing I know of two books on molecular quantum mechanics; one by McWeeney (methods of molecular quantum mechanics) and one by Atkins (molecular quantum mechanics), which I haven't read myself, but I hear it's good. I don't know of any free online sources for…
……拼凑一些事后诸葛亮的论据和简单化的叙事,我觉得这只会让本科生更难受。也许“科学史”应该单独成为一门学科?有些教科书(比如 Atkins & Friedman 的《Molecular Quantum Mechanics》)视角就更细致入微一些。他们把经典计算在绝对零度附近固体热容上的失败,与黑体辐射并列呈现:> “爱因斯坦认识到……
…up with post hoc arguments and simplified narratives, and I think it it just makes life harder for undergraduate students. Maybe 'history of science' should be its own subject? Some textbooks (e.g. Molecular Quantum Mechanics, Atkins & Friedman) take a more nuanced view. They present failures of classical calculations of the heat capacity of solids near absolute zero side by side with blackbody radiation: > "Einstein recognized…
……这就把我们带入了数值解、群论对称性论证等等的领域。如果你觉得这个话题很有趣,我建议你搞一本 PW Atkins / RS Friedman 的《Molecular Quantum Mechanics》,可能还可以读读 PCW Davies 那本有点半科普性质、但公式实在太多了的(1979 年)《The Forces of Nature》。(虽然没讲分子,但在背景知识方面非常棒)https://www.amazon.com/Forces-Nature-P-C-Davies/dp/052131392...…
…this brings us into the realm of numerical solutions, group theory symmetry arguments, and so on. If you find this subject interesting I suggest getting your hands on a copy of PW Atkins / RS Friedman "Molecular Quantum Mechanics" and perhaps also PCW Davies semi-pop-sci-but-with-way-too-many-equations (1979) "The forces of nature". (doesn't cover molecules though is great on background) https://www.amazon.com/Forces-Nature-P-C-Davies/dp/052131392...…
……一个可观测量,其中本征函数是一种特殊的算符-函数关系。最后还有一个挺不错的非量子力学应用(傅里叶变换)。来源:PW Atkins & RS Friedman,《Molecular Quantum Mechanics》第三版 > 可观测量是指任何可以被测量的动力学变量……在经典力学中……可观测量用函数*表示(例如作为时间函数的位置),而在量子力学中……
…of an observable, with an eigenfunction being a special kind of operator-function relationship. At the end, there's a nice non-QM application (Fourier transforms). source: PW Atkins & RS Friedman, "Molecular Quantum Mechanics 3rd Ed" > An observable is any dynamical variable that can be measured... in classical mechanics... observables are represented by functions* (such as position as a function of time), in quantum mechanics…