ENGLISH

Introduction to Quantum Mechanics - With a Focus on Physics and Operator Theory

Book information

Publisher
Springer Nature Switzerland
Year
2024
ISBN
9783031490774, 9783031490781
DOI
10.1007/978-3-031-49078-1
ISSN
2690-0327
Language
english
Format
PDF
Filesize
4 MB (4715708 bytes)
Series
Synthesis Lectures on Engineering, Science, and Technology
Edition
1
Pages
356\357
Topic
Mathematics\\Mathematicsematical Physics
Orientation
yes
Paginated
yes
Scanned
portrait
Time added
2024-04-08 16:31:58

Description

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. - 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 proofs of the abstract results

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