1.这些解是定态的(stationary\ states)。尽管波函数本身 \Psi(x,t)= \psi(x)e^{(\frac{-iEt}{\hbar})}, \tag{2.7} 很明显与t有关,但概率密度, |\Psi(x,t)|^2 = \Psi^* \Psi = \psi^* e^{(\frac{+iEt}{\hbar})} \psi e^{(\frac{-iEt}{\hbar})} = |\psi(x)|^2, \tag{...
Reference: Griffiths, David J. Introduction to Quantum Mechanics. Upper Saddle River, NJ: Pearson Prentice Hall, 2005. Print.
量子力学中的量子谐振子是经典谐振子在量子世界中的对应模型。经典情况下，一个质量为[公式]、受劲度系数为[公式]弹簧连接的物体，其运动由胡克定律描述，运动方程[公式]给出。当忽略阻力时，解为[公式]，其势能形成抛物线形。然而，现实中谐振子并非完美，弹簧有极限，且胡克定律在极端条件下失效。从物理...
量子力学中，厄米算符的本征函数扮演着可观测量确定态的关键角色。这些函数分为两类：离散谱的，构成物理意义的态，如谐振子哈密顿量；连续谱的，虽不可归一化，但其线性组合可代表波函数，如自由粒子的哈密顿量。处理离散谱的情况相对简单，因为它们的内积存在，与有限维理论相似，且拥有实数本征值和正交...
Strong friction limit in quantum mechanics: the quantum Smoluchowski equation. For a quantum system coupled to a heat bath environment the strong friction limit is studied starting from the exact path integral formulation. Generalizin... J Ankerhold,P Pechukas,H Grabert - 《Physical Review ...
【题文】 When one tried to unify gravity with quantum mechanics(量子力学), one had to introduce the idea of ‘imaginary’ time. If one can go forward in imaginary time, one ought to be able to turn round and go backward. This means that there can be no important difference between the...
The Postulates of Quantum Mechanics 1-electron atoms Approximate Methods Many-electron systems Approximate Methods for Many-Electron SystemsOther resourcesKeys to assignments are not always available. But where available, instructors can have the keys by e-mailing Paul Ayers, ayers@mcmaster.ca, from yo...
The aim of this paper is to compare the two topos-theoretic approaches to quantum mechanics that may be found in the literature to date. The first approach... SAM Wolters - 《Communications in Mathematical Physics》 被引量: 61发表: 2010年 Contravariant vs Covariant Quantum Logic: A Comparison...
https://www.youtube.com/watch?v=dkyvZo68IoM Fiber bundles are useful and interesting mathematical structures, with applications in quantum mechanics and other areas of math and physics, but sadly they are tragically underappreciated. In this video, I'd like to spread awareness about the beauty ...
Introduction to Part II: Quantum mechanical methods 0.第II部分简介:量子机械方法 译 【第2集】1. It's a quantum world: The theory of quantum mechanics 1.这是一个量子世界:量子力学理论 译 【第3集】2. Practice makes perfect 2.熟能生巧 译 【第4集】3. From many-body to single-...