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Mathematical Foundation of Quantum Mechanics By K. R. Parthasarathy
English | PDF | 2005 | 175 Pages | ISBN : 8185931593 | 13.8 MB
This is abrief introduction to the mathematical foundations of quan- tum mechanics based on lectures given by the author to Ph.D.students at the Delhi Centre of the Indian Statistical Institute during the years 1980- 1985 in order to initiate active research in the emerging field of quantum prob ability. 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 prob ability, an under- standing of the role of group representations in the development of quan- tum mechanics is always a fascinating theme for mathematicians. In this context the books by G.W.Mackey [8] and V.S.Varadarajan [11] have exerted a considerable infiuence in my pedagogical approach to the sub- ject. Graduate students to whom I had recommended these books feIt somewhat uncomfortable with them and I hope these notes would prove to be more encouraging in getting a quicker introduction to this theme.

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