Research output: Contribution to journal › Article › peer-review
Structure of canonical variables in the theory of quantum systems with finitely and infinitely many degrees of freedom. / Borisov, N. V.
In: Theoretical and Mathematical Physics, Vol. 19, No. 1, 01.04.1974, p. 325-331.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Structure of canonical variables in the theory of quantum systems with finitely and infinitely many degrees of freedom
AU - Borisov, N. V.
PY - 1974/4/1
Y1 - 1974/4/1
N2 - Representations of an associative countably generated*-algebra by unbounded operators must be analyzed not only in connection with representations of canonical variables in quantum theory but also in different questions of the theory of representations of finite-dimensional and some infinite-dimensional Lie groups (in a consideration of the corresponding Lie algebras). In all such cases our theorem on the decomposition of unbounded representations into irreducible (factor) representations can be used.
AB - Representations of an associative countably generated*-algebra by unbounded operators must be analyzed not only in connection with representations of canonical variables in quantum theory but also in different questions of the theory of representations of finite-dimensional and some infinite-dimensional Lie groups (in a consideration of the corresponding Lie algebras). In all such cases our theorem on the decomposition of unbounded representations into irreducible (factor) representations can be used.
UR - http://www.scopus.com/inward/record.url?scp=34250396062&partnerID=8YFLogxK
U2 - 10.1007/BF01037188
DO - 10.1007/BF01037188
M3 - Article
AN - SCOPUS:34250396062
VL - 19
SP - 325
EP - 331
JO - Theoretical and Mathematical Physics (Russian Federation)
JF - Theoretical and Mathematical Physics (Russian Federation)
SN - 0040-5779
IS - 1
ER -
ID: 39884073