Mathematical Concepts of Quantum Mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced analysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features |
| Physical Description: | 1 Online-Ressource (X, 253 p) |
| ISBN: | 9783642557293 9783540441601 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-642-55729-3 |
Staff View
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Record in the Search Index
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| spelling | Gustafson, Stephen J. 1972- Verfasser (DE-588)124948987 aut Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (X, 253 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced analysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 Sigal, Israel Michael 1945- Sonstige (DE-588)110612043 oth https://doi.org/10.1007/978-3-642-55729-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gustafson, Stephen J. 1972- Mathematical Concepts of Quantum Mechanics Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4047989-4 (DE-588)4123623-3 |
| title | Mathematical Concepts of Quantum Mechanics |
| title_auth | Mathematical Concepts of Quantum Mechanics |
| title_exact_search | Mathematical Concepts of Quantum Mechanics |
| title_full | Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal |
| title_fullStr | Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal |
| title_full_unstemmed | Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal |
| title_short | Mathematical Concepts of Quantum Mechanics |
| title_sort | mathematical concepts of quantum mechanics |
| topic | Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik Quantenmechanik Lehrbuch |
| url | https://doi.org/10.1007/978-3-642-55729-3 |
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