77 citations · 78 across the 2 of their papers we have counts for
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quant-ph2009★ 1 cited
Heisenberg-Weyl algebra revisited: Combinatorics of words and paths
P. Blasiak, A. Horzela, G. H. E. Duchamp +2
The Heisenberg-Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete mod…
quant-ph2007★ 77 cited
Combinatorics and Boson normal ordering: A gentle introduction
P. Blasiak, A. Horzela, K. A. Penson +2
We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator. The so…
quant-ph2005
Boson Normal Ordering via Substitutions and Sheffer-type Polynomials
P Blasiak, A Horzela, K A Penson +2
We solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitrary functions q and v and integer n, where a and a* are boson annihilation and creation operators, sati…