Mathematical concepts of quantum mechanics

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic...

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Autori principali: Gustafson, Stephen J., 1972-, Sigal, Israel Michael, 1945- (Autore), Sigal, Israel Michael (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edizione:2nd ed. 2011.
Serie:Universitext
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Nota: Description d'après consultation du 26 février 2013
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Edition sous un autre format:• Mathematical concepts of quantum mechanics, Stephen J. Gustafson and Israel Michael Sigal, 2nd ed., Berlin, Springer, 2011, 1 vol. (XIII-382 p. ), Universitext, 978-3-642-21865-1
• Mathematical concepts of quantum mechanics, Stephen J. Gustafson and Israel Michael Sigal, 2nd ed., Berlin, Springer, 2011, 1 vol. (XIII-382 p. ), Universitext, 978-3-642-21865-1
• Mathematical Concepts of Quantum Mechanics, Texte imprimé, 9783642218675
Sommario:
  • 1 Physical Background 2 Dynamics 3 Observables 4 Quantization 5 Uncertainty Principle and Stability of Atoms and Molecules 6 Spectrum and Dynamics 7 Special Cases 8 Bound States and Variational Principle 9 Scattering States Existence of Atoms and Molecules 11 Perturbation Theory: Feshbach-Schur Method 12 General Theory of Many-particle Systems 13 Self-consistent Approximations 14 The Feynman Path Integral 15 Quasi-classical Analysis 16 Resonances 17 Quantum Statistics 18 The Second Quantization 19 Quantum Electro-Magnetic Field Photons 20 Standard Model of Non-relativistic Matter and Radiation 21 Theory of Radiation 22 Renormalization Group 23 Mathematical Supplement: Spectral Analysis 24 Mathematical Supplement: The Calculus of Variations 25 Comments on Literature, and Further Reading References Index