Share Email Print
cover

Proceedings Paper

Quantum points/patterns, Part 1: from geometrical points to quantum points in a sheaf framework
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

We consider some generalization of the theory of quantum states, which is based on the analysis of long standing problems and unsatisfactory situation with the possible interpretations of quantum mechanics. We demonstrate that the consideration of quantum states as sheaves can provide, in principle, more deep understanding of some phenomena. The key ingredients of the proposed construction are the families of sections of sheaves with values in the category of the functional realizations of infinite-dimensional Hilbert spaces with special (multiscale) filtration. Three different symmetries, kinematical (on space-time), hidden/dynamical (on sections of sheaves), unified (on filtration of the full scale of spaces) are generic objects generating the full zoo of quantum phenomena.

Paper Details

Date Published: 29 September 2011
PDF: 9 pages
Proc. SPIE 8121, The Nature of Light: What are Photons? IV, 81210J (29 September 2011); doi: 10.1117/12.893502
Show Author Affiliations
Antonina N. Fedorova, Institute of Problems of Mechanical Engineering (Russian Federation)
Michael G. Zeitlin, Institute of Problems of Mechanical Engineering (Russian Federation)


Published in SPIE Proceedings Vol. 8121:
The Nature of Light: What are Photons? IV
Chandrasekhar Roychoudhuri; Andrei Yu. Khrennikov; Al F. Kracklauer, Editor(s)

© SPIE. Terms of Use
Back to Top