Mathematical Concepts of Quantum Mechanics (Universitext) （2003. 247 p. with 35 ill.）

Mathematical Concepts of Quantum Mechanics (Universitext) （2003. 247 p. with 35 ill.）

  • ただいまウェブストアではご注文を受け付けておりません。 ⇒古書を探す
  • 製本 Hardcover:ハードカバー版／ページ数 247 p.
  • 商品コード 9783540441601

Full Description

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

Contents

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.