笔记 发表于 2025-3-21 16:46:51

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种子 发表于 2025-3-21 23:40:50

2690-0300 mechanical systems.Analyses concrete operators and contains .This book presents an introduction to quantum mechanics that consistently uses the methods of operator theory, allowing readers to develop a physical understanding of quantum mechanical systems. The methods of operator theory are discussed

Ringworm 发表于 2025-3-22 01:58:34

,Quantization of a Free Particle in N-Dimensional Space,ly simple. Similar is true for quantum mechanics. The Hamiltonian of the corresponding quantum system is a multiple of the Laplace operator that is also tied to Euclidean geometry, signaling the “awareness” of the quantum system of Euclidean geometry.

象形文字 发表于 2025-3-22 05:51:36

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MERIT 发表于 2025-3-22 10:58:12

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蛤肉 发表于 2025-3-22 14:02:54

,Quantization of a Free Particle in N-Dimensional Space, The case of a vanishing potential, corresponds to a “free” particle. It is tempting to qualify the corresponding system as “simple,” in the sense that not much can be learned from this system. According to classical mechanics, since there is no external force, such particles move uniformly in strai

engagement 发表于 2025-3-22 19:06:33

,Commutators, Symmetries and Invariances,In the discussion of the canonical commutation rule for the position and the momentum operator for the harmonic oscillator in , the commutator bracket . was used. In the following, we are going to use this bracket more systematically, but only for bounded linear operators. Subsequently, we introduce the concepts of symmetries and invariances.

翻动 发表于 2025-3-23 00:37:05

Simple Quantum Systems in , Space Dimension,In Sect. ., we studied perturbations of the free Hamiltonian in . space dimensions. In the following, we state these results for 1 space dimension again and derive more detailed information about the domains of the involved operators. Subsequently, we study properties of some simple quantum systems in 1 space dimension.

PATRI 发表于 2025-3-23 02:35:27

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修剪过的树篱 发表于 2025-3-23 06:29:50

Motion in an Axially-Symmetric Force Field,In the following, we study motion in an axially-symmetric force field.
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查看完整版本: Titlebook: Introduction to Quantum Mechanics; With a Focus on Phys Horst R. Beyer Book 2024 The Editor(s) (if applicable) and The Author(s), under exc