9 citations · 11 across the 3 of their papers we have counts for
13 papers
On three quantization methods for particle on hyperboloid
Jean-Pierre Gazeau, Marc Lachieze-Rey, Wlodzimierz Piechocki
We compare the respective efficiencies of three quantization methods (group theoretical, coherent state and geometric) by quantizing the dynamics of a free massive particle in two-…
Harmonic projection and multipole Vectors
Marc Lachieze-Rey
We show that the multipole vector decomposition, recently introduced by Copi et al., is a consequence of Sylvester's theorem, and corresponds to the Maxwell's representation. Analy…
Examples of Berezin-Toeplitz Quantization: Finite sets and Unit Interval
J. P. Gazeau, T. Garidi, E. Huguet +2
We present a quantization scheme of an arbitrary measure space based on overcomplete families of states and generalizing the Klauder and the Berezin-Toeplitz approaches. This schem…
Possible evidence from laboratory measurements for a latitude and longitude dependence of G
J. P. Mbelek, M. Lachièze-Rey
Stability arguments suggest that the Kaluza-Klein (KK) internal scalar field, , should be coupled to some external fields. An external bulk real scalar field, , minimally cou…
Theoretical Necessity of an External Scalar Field in the Kaluza-Klein Theory (I)
J. P. Mbelek, M. Lachieze-Rey
We show that the principle of least action is generally inconsistent with the usual Kaluza-Klein program, the higher dimensional Einstein-Hilbert action being unbounded from below.…
Long-range acceleration induced by a scalar field external to gravity and the indication from Pioneer 10/11, Galileo and Ulysses Data
J. P. Mbelek, M. Lachièze-Rey
We suggest an explanation of the "Pioneer effect" based on the interaction of the spacecraft with a long-range scalar field, . The scalar field under consideration is external t…