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Mathematical Concepts of Quantum Mechanics

Stephen J. Gustafson, Israel Michael Sigal (Autoren)

Buch | Softcover

XI, 290 Seiten

2003 | 1., st ed. 2003. Enlarged 2nd printing
Springer Berlin (Verlag)
978-3-540-44160-1 (ISBN)

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Mathematical Concepts of Quantum Mechanics

Stephen J. Gustafson, Israel Michael Sigal

2011, 2. Auflage

Buch | Softcover

64, ¹⁹ €

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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

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.

Reihe/Serie	Universitext
Sprache	englisch
Maße	155 x 235 mm
Gewicht	455 g
Einbandart	Paperback
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Quantenmechanik • Quantization • quantum mechanics • Schrödinger equation • spectral theory
ISBN-10	3-540-44160-3 / 3540441603
ISBN-13	978-3-540-44160-1 / 9783540441601
Zustand	Neuware