Penson, K.A.; Blasiak, P.; Dattoli, G.; Duchamp, G.H.E.; Horzela, A. and Solomon, A.I.
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|DOI (Digital Object Identifier) Link:||http://doi.org/10.1088/1742-6596/30/1/012|
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We solve the boson normal ordering problem for
(q(aï¿½)a + v(aï¿½))^n with arbitrary functions q(x) and v(x) and integer n, where a and a' are boson annihilation and creation operators, satisfying [a, aï¿½] = 1. This consequently provides the solution for the exponential
exp(?(q(aï¿½)a + v(aï¿½))) 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.
|Item Type:||Journal Article|
|Keywords:||boson ordering;Sheffer; monomiality; shift operator|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Allan Solomon|
|Date Deposited:||24 Jan 2007|
|Last Modified:||04 Aug 2016 17:53|
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