|
Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 13, Number 3, Pages 291–312
(Mi tmf3267)
|
|
|
|
This article is cited in 5 scientific papers (total in 5 papers)
Local and asymptotic structure of quantum systems with superselection rules
V. N. Sushko, S. S. Horuzhy
Abstract:
The authors' algebraic description of an arbitrary quantum system with superselection rules
is used to investigate the local and asymptotic structure of such systems. The main attention
is devoted to the equivalence properties of coherent superselection sectors. It is shown
that physical (weak) equivalence of coherent sectors is not guaranteed by the Haag–Araki
postulates and that it is equivalent to the quasilocal algebra's being simple, the condition
of extended locality, and the globality property of the superseleetion operators. The structure
of the quasilocal algebra ideals is completely described. An “asymptotic” condition is
introduced; it guarantees asymptotic unitary equivalence of coherent sectors and also that
all vector states are asymptotically close (with respect to space-like translations) to the
vacuum state.
Received: 28.04.1972
Citation:
V. N. Sushko, S. S. Horuzhy, “Local and asymptotic structure of quantum systems with superselection rules”, TMF, 13:3 (1972), 291–312; Theoret. and Math. Phys., 13:3 (1972), 1147–1160
Linking options:
https://www.mathnet.ru/eng/tmf3267 https://www.mathnet.ru/eng/tmf/v13/i3/p291
|
Statistics & downloads: |
Abstract page: | 297 | Full-text PDF : | 91 | References: | 35 | First page: | 1 |
|