77 citations · 123 across the 12 of their papers we have counts for
5 papers · 1 filter
Bohm-Aharonov type effects in dissipative atomic systems
Allan I. Solomon, Sonia G. Schirmer
A state in quantum mechanics is defined as a positive operator of norm 1. For finite systems, this may be thought of as a positive matrix of trace 1. This constraint of positivity…
Dobinski-type relations: Some properties and physical applications
P Blasiak, A Horzela, K A Penson +1
We introduce a generalization of the Dobinski relation through which we define a family of Bell-type numbers and polynomials. For all these sequences we find the weight function of…
Thermalization of Squeezed States
Allan I. Solomon
Starting with a thermal squeezed state defined as a conventional thermal state based on an appropriate hamiltonian, we show how an important physical property, the signal-to-noise…
Controllability of multi-partite quantum systems and selective excitation of quantum dots
Sonia G Schirmer, Ivan C H Pullen, Allan I Solomon
We consider the degrees of controllability of multi-partite quantum systems as well as necessary and sufficient criteria for each case. The results are applied to the problem of si…
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…