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257521270
Quantum Theory for Mathematicians: 267 (Graduate Texts in Mathematics, 267)
Item #:
257521270
BHD 36
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This book introduces the main ideas of quantum mechanics in language familiar to mathematicians.
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Advanced Insights
Provides a rigorous mathematical framework of quantum theory, making it ideal for graduate students seeking profound understanding beyond basic concepts.
Comprehensive Approach
Covers both theoretical and practical applications, equipping students with the necessary tools to explore quantum mechanics in various mathematical contexts.
Expert Authors
Authored by leading mathematicians, ensuring high-quality content that blends deep theoretical insights with accessible explanations for complex quantum concepts.
Product Details
- Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics.The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
| Publisher | Springer |
| Publication date | 15 July 2015 |
| Edition | Softcover reprint of the original 1st ed. 2013 |
| Language | English |
| Print length | 570 pages |
| ISBN-10 | 1489993622 |
| ISBN-13 | 978-1489993625 |
| Item weight | 215 g |
| Dimensions | 15.49 x 3.28 x 23.5 cm |
| Part of series | Graduate Texts in Mathematics |
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Functional Analysis Editorial Review
Quantum Theory For Mathematicians is an insightful text published by Springer, detailing complex concepts of quantum physics tailored for mathematical comprehension. Released in July 2015 as a softcover reprint of the original 1st edition from 2013, this book spans 570 pages and is meticulously designed for graduate-level students. It emphasizes bridging mathematical rigor with physical theories, making it a crucial resource in the Graduate Texts in Mathematics series. Readers appreciate its clarity, depth, and comprehensive treatment of quantum principles, which is great for those venturing into theoretical physics with a strong mathematical background.
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Pros
- In-depth exploration of quantum mechanics concepts
- Well-structured for graduate-level understanding
- Clear explanations of complex mathematical theories
- Designed for students with strong math backgrounds
- Comprehensive resource for academic studies
Cons
- Some concepts may be challenging for beginners
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Features & Benefits
- Ideal for mathematicians seeking to understand quantum mechanics.
- Covers essential topics such as Hilbert spaces and Schrödinger equation.
- Conversational tone makes it accessible for readers with little physics background.
- Includes numerous exercises for enhanced learning.
- Suitable for both graduate courses and independent study.
- Advanced topics on geometric quantization for those familiar with manifold theory.
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