Abstract. A complete analysis of the quantum dynamical system defined by the quantum group SL(2,R)&U(l) is made. This quantum group, which is primarily related to the relativistic harmonic oscillator, is also shown to provide the quantum dynamics of a free particle moving in (1 + 1)-dimensional anti-de Sitter spacetime. The latter interpretation illustrates the capabilities of the present group approach to quantisation in dealing with dynamical systems in more general spacetimes. 1
Abstract: Some properties of quantum systems are investigated for various quantization rul...
The time-evolution equation of a one-dimensional quantum walker is exactly mapped to the three-dimen...
A structure of generator of a quantum dynamical semigroup for the dynamics of a test particle intera...
We investigate refined algebraic quantisation with group averaging in a finite-dimensional constrain...
International audienceWe develop an approach to quantum dynamics based on quantum phase space trajec...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
Using the nonlinear realizations of the Virasoro group we construct the action of the Conformal Quan...
The aim of this thesis is to provide a definition of dynamical symme- try and to study its propertie...
The aim of this thesis is to provide a definition of dynamical symme- try and to study its propertie...
AbstractUsing the nonlinear realizations of the Virasoro group we construct the action of the confor...
Reinvigorated by advances and insights, in particular from the active fields of quantum information ...
The set of trajectories for massive spinless particles on $AdS_{N+1}$ spacetime is described by the ...
Dirac's ideas on forms of relativistic dynamics are generalized to all nite-dimensional rst-cla...
ABSTRACT. In this paper we study the quantum evolution of a wave function defined on the SU(2) group...
Abstract: Some properties of quantum systems are investigated for various quantization rul...
The time-evolution equation of a one-dimensional quantum walker is exactly mapped to the three-dimen...
A structure of generator of a quantum dynamical semigroup for the dynamics of a test particle intera...
We investigate refined algebraic quantisation with group averaging in a finite-dimensional constrain...
International audienceWe develop an approach to quantum dynamics based on quantum phase space trajec...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
Using the nonlinear realizations of the Virasoro group we construct the action of the Conformal Quan...
The aim of this thesis is to provide a definition of dynamical symme- try and to study its propertie...
The aim of this thesis is to provide a definition of dynamical symme- try and to study its propertie...
AbstractUsing the nonlinear realizations of the Virasoro group we construct the action of the confor...
Reinvigorated by advances and insights, in particular from the active fields of quantum information ...
The set of trajectories for massive spinless particles on $AdS_{N+1}$ spacetime is described by the ...
Dirac's ideas on forms of relativistic dynamics are generalized to all nite-dimensional rst-cla...
ABSTRACT. In this paper we study the quantum evolution of a wave function defined on the SU(2) group...
Abstract: Some properties of quantum systems are investigated for various quantization rul...
The time-evolution equation of a one-dimensional quantum walker is exactly mapped to the three-dimen...
A structure of generator of a quantum dynamical semigroup for the dynamics of a test particle intera...