Darboux transformation for the nonstationary Schrödinger equation.
De Sitter to Poincaré contraction and relativistic coherent states
Decoherence of quantum Markov semigroups
Deformation on phase space.
El trabajo que presentamos constituye una revisión de varios procedimientos de cuantización basados en un espacio de fases clásico M. Estos métodos consideran a la mecánica cuántica como una "deformación" de la mecánica clásica por medio de la "transformación" del álgebra conmutativa C∞(M) en una nueva álgebra no conmutativa C∞(M)ħ. Todas estas ideas conducen de modo natural a los grupos cuánticos como deformación (o cuantización en un sentido amplio) de los grupos de Poisson-Lie, lo cual también...
Deformed commutators on comodule algebras over coquasitriangular Hopf algebras
We construct quantum commutators on comodule algebras over coquasitriangular Hopf algebras, so that they are quantum group coinvariant and have the generalized antisymmetry and Leibniz properties. If the coquasitriangular Hopf algebra is additionally cotriangular, then the quantum commutators satisfy a generalized Jacobi identity, and turn the comodule algebra into a quantum Lie algebra. Moreover, we investigate the projective and injective dimensions of some Doi-Hopf modules over a quantum commutative...
Deformed oscillators with two double (pairwise) degeneracies of energy levels.
Degenerate series representations of the -deformed algebra .
Degenerate space-time paths and the non-locality of quantum mechanics in a Clifford substructure of space-time.
Derivations of quasi -algebras.
Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model.
Differential calculus on almost commutative algebras and applications to the quantum hyperplane
In this paper we introduce a new class of differential graded algebras named DG -algebras and present Lie operations on this kind of algebras. We give two examples: the algebra of forms and the algebra of noncommutative differential forms of a -algebra. Then we introduce linear connections on a -bimodule over a -algebra and extend these connections to the space of forms from to . We apply these notions to the quantum hyperplane.
Differential calculus on 'non-standard' (h-deformed) Minkowski spaces
The differential calculus on 'non-standard' h-Minkowski spaces is given. In particular it is shown that, for them, it is possible to introduce coordinates and derivatives which are simultaneously hermitian.
Differential representations of dynamical oscillator symmetries in discrete Hilbert space.
Dilogarithm identities for sine-Gordon and reduced sine-Gordon Y-systems.
Discretized representations of harmonic variables by bilateral Jacobi operators.
Dressing transformation on quantum compact groups
Dynamical matrices of elliptic quantum groups and connection matrices for the -KZ equations.