Физтех в лицах  
 Sergey Filippov
Sergey FilippovLatest newsStar product and ordered moments of photon creation and annihilation operators

  Фото  
 
 
   
 
   
   
   
   
   
   
Star product and ordered moments of photon creation and annihilation operators

This article is to be printed in 2012 but it is already available online at http://iopscience.iop.org/1751-8121/45/1/015305/.

Artilce details: S N Filippov and V I Man'ko 2012 J. Phys. A: Math. Theor. 45 015305

Abstract

We develop a star-product scheme of symbols defined by the normally ordered powers of the creation and annihilation photon operators, (a+)man. The corresponding phase space is a two-dimensional lattice with nodes (m,n) given by pairs of non-negative integers. The star-product kernel of symbols on the lattice and intertwining kernels to other schemes are found in an explicit form. Analysis of peculiar properties of the star-product kernel results in new sum relations for factorials. Advantages of the developed star-product scheme for describing dynamics of quantum systems are discussed and time evolution equations in terms of the ordered moments are derived.


 
© 2001-2006 Moscow Institute of Physics and Technology (State University)
Developing: Center of Pre-University Education «Phystech-Center».
Site created with ARP-technology
Рейтинг сайтов  Arp.site