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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

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发表于 2025-3-21 16:46:51 | 显示全部楼层 |阅读模式
书目名称Introduction to Quantum Mechanics
副标题With a Focus on Phys
编辑Horst R. Beyer
视频video
概述Focuses on the properties of quantum systems that can be observed and measured.Details the methods of operator theory for analyzing quantum mechanical systems.Analyses concrete operators and contains
丛书名称Synthesis Lectures on Engineering, Science, and Technology
图书封面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
描述.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 throughout the book and presented with a mathematically rigorous approach. The author describes in detail how to use the methods of operator theory for analyzing quantum mechanical systems, starting with the definition of the involved physical operators (observables) up to the calculation of their spectra, spectral measures, and functional calculus. In addition, the book includes the construction of exponential functions of the involved Hamilton operators that solve the problem of time evolution..
出版日期Book 2024
关键词Time-Dependent Quantum Systems; Axially-Symmetric Force Field; Quantum Mechanics; Simple Quantum System
版次1
doihttps://doi.org/10.1007/978-3-031-49078-1
isbn_softcover978-3-031-49080-4
isbn_ebook978-3-031-49078-1Series ISSN 2690-0300 Series E-ISSN 2690-0327
issn_series 2690-0300
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:40:50 | 显示全部楼层
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
发表于 2025-3-22 01:58:34 | 显示全部楼层
,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.
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发表于 2025-3-22 14:02:54 | 显示全部楼层
,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
发表于 2025-3-22 19:06:33 | 显示全部楼层
,Commutators, Symmetries and Invariances,In the discussion of the canonical commutation rule for the position and the momentum operator for the harmonic oscillator in [7], 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.
发表于 2025-3-23 00:37:05 | 显示全部楼层
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.
发表于 2025-3-23 02:35:27 | 显示全部楼层
发表于 2025-3-23 06:29:50 | 显示全部楼层
Motion in an Axially-Symmetric Force Field,In the following, we study motion in an axially-symmetric force field.
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