18 citations · 39 across the 7 of their papers we have counts for
14 papers
On the hydrino state of the relativistic hydrogen atom
Jan Naudts
The Klein-Gordon equation of the hydrogen atom has a low-lying eigenstate, called hydrino state, with square integrable wavefunction. The corresponding spinor solution of Dirac's e…
Special solutions of nonlinear von Neumann equations
Jan Naudts, Maciej Kuna
We consider solutions of the non-linear von Neumann equation involving Jacobi's elliptic functions sn, cn, and dn, and 3 linearly independent operators. In two cases one can constr…
Escort density operators and generalized quantum information measures
Jan Naudts
Parametrized families of density operators are studied. A generalization of the lower bound of Cramer and Rao is formulated. It involves escort density operators. The notion of phi…
On the maximum entropy principle in non-extensive thermostatistics
Jan Naudts
It is possible to derive the maximum entropy principle from thermodynamic stability requirements. Using as a starting point the equilibrium probability distribution, currently used…
Non-unique way to generalize the Boltzmann-Gibbs distribution
Jan Naudts
Alternative definitions are given of basic concepts of generalized thermostatistics. In particular, generalizations of Shannon's entropy, of the Boltzmann-Gibbs distribution, and o…
Photon fields in a fluctuating spacetime
Jan Naudts, Maciej Kuna, Wojciech De Roeck
We present a model of interacting quantum fields, formulated in a non-perturbative manner. One of the fields is treated semi-classically, the other is the photon field. The model h…