Recently, in Kaniadakis (Physica A 296 (2001) 405), a new one-parameter deformation for the exponential function exp{κ}(x)=(1+κ2x2+κx)1/κ; exp{0}(x)=exp(x), which presents a power-law asymptotic behaviour, has been proposed. The statistical distribution f=Z−1exp{κ}[−β(E−μ)], has...

Some general properties of the linear Boltzmann kinetic equation are used to present it in the form ∂tϕ = −†Âϕ with the operators Âand† possessing some nontrivial algebraic properties. When applied to the Keilson-Storer kinetic model, this method gives an example of quantum...