Mathematical concepts of quantum mechanics
著者
書誌事項
Mathematical concepts of quantum mechanics
（Universitext）
Springer, c2003
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The book gives a streamlined introduction to quantum mechanics and describes the basic mathematical structures underpinning it. From the reviews: "This book is an introduction to the mathematics of quantum mechanics...The strength of the book is where it shows how the mathematical treatment of quantum mechanics brings insights to physics...It will be useful to the experienced reader as a guide to the impressive recent advances in mathematical quantum mechanics." --SIAM REVIEW
目次
Physical background.- Mathematical detour: operator theory.- Dynamics.- Mathematical detour: the Fourier transform.- Observables.- The uncertainty principle.- Spectral theory.- Scattering states.- Special cases.- Many-particle systems.- Density matrices.- The Feynman path integral.- Mathematical detour: the calculus of variations.- Mathematical detours: the stationary phase method and operator determinants.- Quasi-classical analysis.-Resonances.- Introduction to quantum field theory.- Quantum electrodynamics of non-relativistic particles: the theory of radiation.- Supplement: renormalization group.-Comments on missing topics, literature, and further reading.
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