Introduction to quantum mechanics: with a focus on physics and operator theory
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 rigo...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham
Springer
[2024]
|
| Edition: | 2024 |
| Series: | Synthesis lectures on engineering, science, and technology
|
| Subjects: | |
| Summary: | 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 |
| Item Description: | Introduction.- Constraints on Quantization.- Quantization of a Free Particle in n-Dimensional Space.- Commutators, Symmetries and Invariances.- Simple Quantum Systems in 1 Space Dimension.- Motion in a Central Force Field.- Motion in an Axially-Symmetric Force Field.- Scattering Theory.- Time-Dependent Quantum Systems and Propagators.- Conclusion. |
| Physical Description: | xxiv, 203 Seiten Illustrationen, Diagramme 240 mm |
| ISBN: | 9783031490774 |
Staff View
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| id | DE-604.BV049798625 |
| illustrated | Illustrated |
| indexdate | 2025-01-24T07:01:39Z |
| institution | BVB |
| isbn | 9783031490774 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035139293 |
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| physical | xxiv, 203 Seiten Illustrationen, Diagramme 240 mm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | Springer |
| record_format | marc |
| series2 | Synthesis lectures on engineering, science, and technology |
| spelling | Beyer, Horst R. Verfasser aut Introduction to quantum mechanics with a focus on physics and operator theory Horst R. Beyer Cham Springer [2024] xxiv, 203 Seiten Illustrationen, Diagramme 240 mm txt rdacontent n rdamedia nc rdacarrier Synthesis lectures on engineering, science, and technology Introduction.- Constraints on Quantization.- Quantization of a Free Particle in n-Dimensional Space.- Commutators, Symmetries and Invariances.- Simple Quantum Systems in 1 Space Dimension.- Motion in a Central Force Field.- Motion in an Axially-Symmetric Force Field.- Scattering Theory.- Time-Dependent Quantum Systems and Propagators.- Conclusion. 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 bicssc bisacsh Mathematical physics Operator theory Quantum physics Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Hardcover, Softcover / Physik, Astronomie/Theoretische Physik Quantenmechanik (DE-588)4047989-4 s DE-604 Erscheint auch als Online-Ausgabe 978-3-031-49078-1 |
| spellingShingle | Beyer, Horst R. Introduction to quantum mechanics with a focus on physics and operator theory bicssc bisacsh Mathematical physics Operator theory Quantum physics Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 |
| title | Introduction to quantum mechanics with a focus on physics and operator theory |
| title_auth | Introduction to quantum mechanics with a focus on physics and operator theory |
| title_exact_search | Introduction to quantum mechanics with a focus on physics and operator theory |
| title_full | Introduction to quantum mechanics with a focus on physics and operator theory Horst R. Beyer |
| title_fullStr | Introduction to quantum mechanics with a focus on physics and operator theory Horst R. Beyer |
| title_full_unstemmed | Introduction to quantum mechanics with a focus on physics and operator theory Horst R. Beyer |
| title_short | Introduction to quantum mechanics |
| title_sort | introduction to quantum mechanics with a focus on physics and operator theory |
| title_sub | with a focus on physics and operator theory |
| topic | bicssc bisacsh Mathematical physics Operator theory Quantum physics Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | bicssc bisacsh Mathematical physics Operator theory Quantum physics Quantenmechanik |
| work_keys_str_mv | AT beyerhorstr introductiontoquantummechanicswithafocusonphysicsandoperatortheory |