Monomiality principle, Sheffer-type polynomials and the normal ordering problem

Details Monomiality principle, Sheffer-type polynomials and the normal ordering problem Monomiality principle, Sheffer-type polynomials and the normal ordering problem

2005-10-12

arxiv.org/abs/quant-ph/0510079v2

J. Phys.: Conf. Ser. 30: 86-97, 2006

Physics

Quantum Physics

Presented at the 8'th International School of Theoretical Physics "Symmetry and Structural Properties of Condensed Matter " (S

Scientific paper

10.1088/1742-6596/30/1/012

We solve the boson normal ordering problem for $(q(a^\dag)a+v(a^\dag))^n$ with arbitrary functions $q(x)$ and $v(x)$ and integer $n$, where $a$ and $a^\dag$ are boson annihilation and creation operators, satisfying $[a,a^\dag]=1$. This consequently provides the solution for the exponential $e^{\lambda(q(a^\dag)a+v(a^\dag))}$ generalizing the shift operator. In the course of these considerations we define and explore the monomiality principle and find its representations. We exploit the properties of Sheffer-type polynomials which constitute the inherent structure of this problem. In the end we give some examples illustrating the utility of the method and point out the relation to combinatorial structures.

Affiliated with

Also associated with

No associations

Rating

Monomiality principle, Sheffer-type polynomials and the normal ordering problem 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 Monomiality principle, Sheffer-type polynomials and the normal ordering problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monomiality principle, Sheffer-type polynomials and the normal ordering problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686052