
量子力学原理
The Principles of Quantum Mechanics
Paul Adrian Maurice Dirac · 初版 1930 年
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为什么值得读
- 论述远比普通教材清晰且兼具高度实用性
- 引入括号标记法大幅简化了量子力学计算
- 前六章专注数学推导避免空谈哲学诠释
这是对 Quantum Mechanics (QM) 最清晰的阐述之一。Dirac 从超越经典物理学之理论需求的朴素动机出发,描述了新理论 (QM) 所必需的若干特征,并进而阐明了物理态(量子态)在可观测世界中必须遵循的性质。<br/><br/>正文随后展开论述了标准的 QM 术语(态矢量、算符、可观测量、运动方程),并深入探讨了理想与真实的物理系统(简谐振子、自由粒子、氢原子)。
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去看看狄拉克(Dirac)的经典之作《The Principles of Quantum Mechanics》(量子力学原理):http://www.amazon.com/Principles-Quantum-Mechanics-Internati... 我当时震惊了,比起一般的教科书,它的阐述居然清晰(且实用)得多。
Check out Dirac's classic 'The Principles of Quantum Mechanics': http://www.amazon.com/Principles-Quantum-Mechanics-Internati... I was shocked how much clearer (and more useful) the exposition is compared to textbooks.
…觉得自己想了解更多。去看看薛定谔方程(Schroedinger equation)。学会怎么计算谐振子和氢原子的能级。去读读保罗·狄拉克《The principles of quantum mechanics》的前六章。花时间去读 QM 的各种诠释和哲学意味纯属浪费时间。搞理论物理研究的人极少在这类考量上花时间,甚至根本不屑一顾。
…feels that they want to know more. See the Schroedinger equation. Learn how to calculate energy levels for the harmonic oscillator and for the hydrogen atom. Read first six chapter's of Paul Dirac's "The principles of quantum mechanics". The time spent reading about interpretations and philosophical implications of QM is wasted. People who do research in theoretical physics devote very little time to such considerations, or no at all.
…我绝不推荐任何人读这个。相反,有一本神作我读过好几遍。别听任何人说它过时了不该读。P.A.M. Dirac 的《The Principles of Quantum Mechanics》http://www.amazon.com/Principles-Quantum-Mechanics-Internati...
…I wouldn't recommend anyone to read this. Instead, there's this awesome gem, which I have read multiple times. Don't believe anyone who says it's outdated and you shouldn't read it. P.A.M. Dirac: The Principles of Quantum Mechanics http://www.amazon.com/Principles-Quantum-Mechanics-Internati...
…需要一点代数域论来解释为什么 AB - BA 不一定等于 0。* 本征态(Eigenstates)--> 这些是特殊的波函数。本征值(Eigenvalues)和本征向量(Eigenvectors)。我推荐保罗·狄拉克原版的《Principles of Quantum Mechanics》来接受一次洗礼。很多东西他就是一手源头。他用自己的 Bracket 符号(括号记号)极大简化了 QM 里的很多方法。要是我遗漏了什么还请见谅。
…a little algebraic field theory for motivation on why AB - BA is not necessarily 0. * Eigenstates --> these are special wavefunctions. Eigenvalues and Eigenvectors I recommend Paul Dirac's original Principles of Quantum Mechanics for a baptism by fire. He's the primary source for a lot of this stuff. He simplified a lot of the methods in QM with his Bracket notation. Sorry if I missed something.
…从那一步你可以进入哈密顿力学(Hamiltonian mechanics),然后再从那里开始真正死磕量子力学。搞定了更偏技术性的部分之后,你应该读读保罗·狄拉克的那本《the principles of quantum mechanics》
…From that you can get into Hamiltonian mechanics and from there you can start to really grapple with quantum mechanics. After dealing with the more technical side, you should read Paul Dirac’s book “the principles of quantum mechanics”
狄拉克在他的一本书里从第一性原理(first principles)推导了量子物理,包括相关的思想实验。对我来说这就足够受用了。讲得通透合理。《Principles of Quantum Mechanics》
Dirac derives quantum physics from first principles, including the relevant thought experiments, in one of his books. that was good enough for me. made a lot of sense. "Principles of Quantum Mechanics"