10 citations · 45 across the 22 of their papers we have counts for
15 papers · 1 filter
Contractions of the relativistic quantum LCT group and the emergence of spacetime symmetries
Anjary Feno Hasina Rasamimanana, Ravo Tokiniaina Ranaivoson, Roland Raboanary +3
Advances in the study of relativistic quantum phase space have established the set of Linear Canonical Transformations (LCTs) as a candidate for the fundamental symmetry group asso…
Geometric structure of the relativistic quantum phase space
Philippe Manjakasoa Randriantsoa, Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona +3
The quest to reconcile quantum mechanics with gravitational theory motivates the exploration of frameworks that treat quantum uncertainty and spacetime geometry under a unified app…
Decoherence challenges in Nanoscience: A Quantum Phase Space perspective
Ravo Tokiniaina Ranaivoson, Angelo Mamitiana Ralaikoto, Diary Lova Ratsimbazafy +5
Quantum decoherence is both the fundamental mechanism underlying the quantum-to-classical transition and a major challenge for the development of scalable nanoscale quantum technol…
Casimir operators for the relativistic quantum phase space symmetry group
Philippe Manjakasoa Randriantsoa, Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona +3
Recent developments in the unification of quantum mechanics and relativity have emphasized the necessity of generalizing classical phase space into a relativistic quantum phase spa…
Joint momenta-coordinates states as pointer states in quantum decoherence
Nomenjanahary Tanjonirina Manampisoa, Ravo Tokiniaina Ranaivoson, Roland Raboanary +3
Quantum decoherence provides a framework to study the emergence of classicality from quantum systems by showing how interactions with the environment suppress interferences and sel…
Highlighting relations between Wave-particle duality, Uncertainty principle, Phase space and Microstates
Ravo Tokiniaina Ranaivoson, Voriraza Séraphin Hejesoa, Raoelina Andriambololona +5
Wave-particle duality is often considered as the modern answer to the problem of the nature of light after more than 2000 years of questioning. It is also the answer given by quant…
Invariant quadratic operators associated with Linear Canonical Transformations and their eigenstates
Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Hanitriarivo Rakotoson +1
The main purpose of this work is to identify invariant quadratic operators associated with Linear Canonical Transformations (LCTs) which could play important roles in physics. LCTs…
Gaussian as test functions in Operator Valued Distribution formulation of QED
Hasimbola Damo Emile Randriamisy, Raoelina Andriambololona, Hanitriarivo Rakotoson +2
As shown by Epstein and Glaser, the operator valued distribution (OPVD) formalism permits to obtain a non-standard regularization scheme which leads to a divergences-free quantum f…
Linear Canonical Transformations in Relativistic Quantum Physics
Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Hanitriarivo Rakotoson +1
Linear Canonical Transformations (LCTs) are known in signal processing and optics as the generalization of certain useful integral transforms. In quantum theory, they can be identi…
Properties of Phase Space Wavefunctions and Eigenvalue Equation of Momentum Dispersion Operator
Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Hanitriarivo Rakotoson
This paper is a continuation of our previous works about coordinate, momentum, dispersion operators and phase space representation of quantum mechanics. It concerns a study on the…
Study on a Spinorial Representation of Linear Canonical Transformations
Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Hanitriarivo Rakotoson
This work is a continuation of our previous works concerning linear canonical transformations and phase space representation of quantum theory. It is mainly focused on the descript…
Coordinate, Momentum and Dispersion operators in Phase space representation
Hanitriarivo Rakotoson, Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson +1
The aim of this paper is to present a study on the representations of coordinate, momentum and dispersion operators in the framework of a phase space representation of quantum mech…
Dispersion Operators Algebra and Linear Canonical Transformations
Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Randriamisy Hasimbola Damo Emile +1
This work intends to present a study on relations between a Lie algebra called dispersion operators algebra, linear canonical transformation and a phase space representation of qua…
Study on linear canonical transformation in a framework of a phase space representation of quantum mechanics
Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Hanitriarivo Rakotoson +1
We present a study on linear canonical transformation in the framework of a phase space representation of quantum mechanics that we have introduced in our previous work [1]. We beg…
Derivation of equations for scalar and fermion fields using properties of dispersion-codispersion operators
Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Rakotoson Hanitriarivo +1
We establish equations for scalar and fermion fields using results obtained from a study on a phase space representation of quantum theory that we have performed in a previous work…