Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-05
Commun.Theor.Phys.45:249-254,2006
Physics
High Energy Physics
High Energy Physics - Theory
9 pages
Scientific paper
10.1088/0253-6102/45/2/011
The structure of the state-vector space of identical bosons in noncommutative spaces is investigated. To maintain Bose-Einstein statistics the commutation relations of phase space variables should simultaneously include coordinate-coordinate non-commutativity and momentum-momentum non-commutativity, which lead to noncommutative Fock space. By this we mean that creation and annihilation operators corresponding to different degrees of freedom of the bosons do not commute each other. The main character of the noncommutative Fock space is there are no ordinary number representations because of the non-commutativity between different number operators. However, eigenvectors of several pairs of commuting Hermitian operators are obtained which can also be served as bases in this Fock space. As a simple example, an explicit form of two-dimensional canonical coherent state in this noncommutative Fock space is constructed and its properties are discussed.
Jing Si-Cong
Liu Qiu-Yu
Ruan Tu-Nan
No associations
LandOfFree
Structure of Noncommutative Fock space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Structure of Noncommutative Fock space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure of Noncommutative Fock space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-114110