10 citations · 45 across the 14 of their papers we have counts for
14 papers
Quantum Phase Space Symmetry and Sterile Neutrinos
Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Hanitriarivo Rakotoson +3
On one hand, the concept of Quantum Phase Space which is compatible with the uncertainty principle has been considered recently. It has also been shown that a natural symmetry that…
Quantum and Relativistic corrections to Maxwell-Boltzmann ideal gas model from a Quantum Phase Space approach
Rivo Herivola Manjakamanana Ravelonjato, Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona +3
The quantum corrections related to the ideal gas model that are often considered are those which are related to the particles nature: bosons or fermions. These corrections lead res…
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…
Sterile neutrinos existence suggested from LCT covariance
Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Hanitriarivo Rakotoson +1
Sterile neutrinos are known to be hypothetical neutrinos which do not interact via the fundamental interactions described within the Standard Model of Particles Physics i.e. electr…
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…
Properties of Elementary Fermions of the Standard Model deduced from Linear Canonical Transformations
Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Hanitriarivo Rakotoson
This paper is a continuation of our works concerning Linear Canonical Transformations (LCT) and Phase Space Representation of Quantum Theory. The purpose is to study the spinorial…
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…
Two definitions of fractional derivatives of power functions
Raoelina Andriambololona, Tokiniaina Ranaivoson, Hanitriarivo Rakotoson +1
We consider the set of power functions defined on the set of positive real number, and their linear combinations. After recalling some properties of the gamma function, we give two…