Mathematical Foundation of Quantum Mechanics / Texts and Readings in Mathematics Bd.35 (PDF)
(Sprache: Englisch)
This is a brief introduction to the mathematical foundations of quantum mechanics based on lectures given by the author to Ph.D.students at the Delhi Centre of the Indian Statistical Institute in order to initiate active research in the emerging field of...
sofort als Download lieferbar
eBook (pdf)
32.09 €
16 DeutschlandCard Punkte sammeln
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
Produktdetails
Produktinformationen zu „Mathematical Foundation of Quantum Mechanics / Texts and Readings in Mathematics Bd.35 (PDF)“
This is a brief introduction to the mathematical foundations of quantum mechanics based on lectures given by the author to Ph.D.students at the Delhi Centre of the Indian Statistical Institute in order to initiate active research in the emerging field of quantum probability. The material in the first chapter is included in the author's book "An Introduction to Quantum Stochastic Calculus" published by Birkhauser Verlag in 1992 and the permission of the publishers to reprint it here is acknowledged. Apart from quantum probability, an understanding of the role of group representations in the development of quantum mechanics is always a fascinating theme for mathematicians. The first chapter deals with the definitions of states, observables and automorphisms of a quantum system through Gleason's theorem, Hahn-Hellinger theorem and Wigner's theorem. Mackey's imprimitivity theorem and the theorem of inducing representations of groups in stages are proved directly for projective unitary antiunitary representations in the second chapter. Based on a discussion of multipliers on locally compact groups in the third chapter all the well-known observables of classical quantum theory like linear momenta, orbital and spin angular momenta, kinetic and potential energies, gauge operators etc., are derived solely from Galilean covariance in the last chapter. A very short account of observables concerning a relativistic free particle is included. In conclusion, the spectral theory of Schrodinger operators of one and two electron atoms is discussed in some detail.
Bibliographische Angaben
- Autor: K. R. Parthasarathy
- 2005, 1. Auflage, 178 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 9386279282
- ISBN-13: 9789386279286
- Erscheinungsdatum: 15.10.2005
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 13 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Kommentar zu "Mathematical Foundation of Quantum Mechanics / Texts and Readings in Mathematics Bd.35"
0 Gebrauchte Artikel zu „Mathematical Foundation of Quantum Mechanics / Texts and Readings in Mathematics Bd.35“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Mathematical Foundation of Quantum Mechanics / Texts and Readings in Mathematics Bd.35".
Kommentar verfassen