The main questions I want to explore in this essay are How and Why an interest in quantum statistics developed among Indian mathematicians. Indeed, the eld of quantum statistics might appear at first sight to be a singularity against the background of profound traditions, the deep roots of which are illustrated in other communications reported in these proceedings on the History of Indian Mathematics. Upon listening to these enlightening contributions, we could not but be vividly reminded of the continuity between the ancient schools and modern disciplines such as algebra, geometry, combinatorics and number theory, in which the accomplishments of Indian mathematicians are recognized the World over as centrally influential. In contrast, quantum probability, and in particular the theory of quantum stochastic processes, is a recent fi eld of enquiry in which considerable pioneering work was achieved in twentieth century India. It would be futile to attempt and give here a detailed survey that would do justice to all facets of this e ffort. Rather, I will focus on those which relate most to areas of mathematical physics with which I am familiar, and yet bring out the particular flavours of the Indian contributions and of the intellectual climate in which they originated. Page 261, Contributions of Indian Mathematicians to Quantum Statistics by Gerard G. Emch. Contributions to the History of Indian Mathematics Editors Gerard G. Emch ´ R. Sridharan M. D. Srinivas
Posted on: Mon, 08 Dec 2014 05:46:17 +0000
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