Add to ORKGWe apply Dirac’s square root idea to constraints for embedded 4-geometries swept by a 3-dimensional membrane. The resulting Dirac-like equation is then analyzed for general coordinates as well as for the case of a Friedmann-Robertson-Walker metric for spatially closed geometries. The problem of the singularity formation at quantum level is addressed.
International audienceThe Dirac equation may be thought as originating from a theory of 5D space‐tim...
30 pagesInternational audienceIn a Minkowski spacetime, one may transform the Dirac wave function un...
It is the author's belief that a perfect theory will eventually be formulated, where geometry and ph...
We apply Dirac's square root idea to constraints for embedded 4-geometries swept by a 3-dimensional ...
A rigorous ab initio derivation of the (square of) Dirac’s equation for a single particle with spin ...
The talk is an attempt at developing a relativistic field theory based on the concepts from the anal...
Abstract. Dirac equation is discussed in 5-dimensional space time having topol-ogy M4 × T 1, where M...
We study the basic quantum mechanics for a fully general set of Dirac matrices in a curved spacetime...
In this work, Schr\"odinger and Dirac equations will be examined in geometries that confine the part...
The goal of this paper is to propose and discuss a practical way to implement the Dirac algorithm fo...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
A general system constrained with {\it several} initial constraint conditions is quantized based on ...
A rigorous ab initio derivation of the (square of) Dirac’s equation for a particle with spin is pres...
In this work, Schrödinger and Dirac equations will be examined in geometries that confine the partic...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
International audienceThe Dirac equation may be thought as originating from a theory of 5D space‐tim...
30 pagesInternational audienceIn a Minkowski spacetime, one may transform the Dirac wave function un...
It is the author's belief that a perfect theory will eventually be formulated, where geometry and ph...
We apply Dirac's square root idea to constraints for embedded 4-geometries swept by a 3-dimensional ...
A rigorous ab initio derivation of the (square of) Dirac’s equation for a single particle with spin ...
The talk is an attempt at developing a relativistic field theory based on the concepts from the anal...
Abstract. Dirac equation is discussed in 5-dimensional space time having topol-ogy M4 × T 1, where M...
We study the basic quantum mechanics for a fully general set of Dirac matrices in a curved spacetime...
In this work, Schr\"odinger and Dirac equations will be examined in geometries that confine the part...
The goal of this paper is to propose and discuss a practical way to implement the Dirac algorithm fo...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
A general system constrained with {\it several} initial constraint conditions is quantized based on ...
A rigorous ab initio derivation of the (square of) Dirac’s equation for a particle with spin is pres...
In this work, Schrödinger and Dirac equations will be examined in geometries that confine the partic...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
International audienceThe Dirac equation may be thought as originating from a theory of 5D space‐tim...
30 pagesInternational audienceIn a Minkowski spacetime, one may transform the Dirac wave function un...
It is the author's belief that a perfect theory will eventually be formulated, where geometry and ph...