36 citations · 102 across the 11 of their papers we have counts for
11 papers
Borel quantization and nonlinear quantum mechanics. A review of developments in the series "Symmetries in Science" I - XIII
H. -D. Doebner, J. Tolar
The results, different aspects and applications of our method of quantisation on configuration manifolds - called Borel Quantisation - were presented at meetings of the series `Sym…
Nonlinear Dirac equations and nonlinear gauge transformations
H. -D. Doebner, R. Zhdanov
Nonlinear Dirac equations (NLDE) are derived through a group N^2 of nonlinear (gauge) transformation acting in the corresponding state space. The construction generalises a constru…
Deformed Clifford Cl_q(n|m) and orthosymplectic U_q[osp(2n+1|2m)] superalgebras and their root of unity representations
H. -D. Doebner, T. D. Palev, N. I. Stoilova
It is shown that the Clifford superalgebra Cl(n|m) generated by m pairs of Bose operators (odd elements) anticommuting with n pairs of Fermi operators (even elements) can be deform…
Correlation experiments in nonlinear quantum mechanics
Marek Czachor, H. -D. Doebner
We show how one can compute multiple-time multi-particle correlation functions in nonlinear quantum mechanics in a way which guarantees locality of the formalism.
Schroedinger-picture correlation functions for nonlinear evolutions
M. Czachor, H. -D. Doebner
The well known interpretational difficulties with nonlinear Schrödinger and von Neumann equations can be reduced to the problem of computing multiple-time correlation functions in…
Quantization of kinematics on configuration manifolds
H. -D. Doebner, P. Stovicek, J. Tolar
The review is devoted to topological global aspects of quantal description. The treatment concentrates on quantizations of kinematical observables --- generalized positions and mom…