66 citations · 98 across the 8 of their papers we have counts for
8 papers
Discrete Phase Space-Continuous Time Relativistic Klein-Gordon and Dirac Equations, and a New Non-Singular Yukawa Potential
Anadijiban Das, Rupak Chatterjee
This paper deals with the second quantization of interacting relativistic Fermionic and Bosonic fields in the arena of discrete phase space and continuous time. The mathematical fo…
Discrete phase space and continuous time relativistic quantum mechanics II: Peano circles, hyper-tori phase cells, and fibre bundles
Anadijiban Das, Rupak Chatterjee
The discrete phase space and continuous time representation of relativistic quantum mechanics is further investigated here as a continuation of paper I [1]. The main mathematical c…
Discrete phase space and continuous time relativistic quantum mechanics I: Planck oscillators and closed string-like circular orbits
Anadijiban Das, Rupak Chatterjee
The discrete phase space continuous time representation of relativistic quantum mechanics involving a characteristic length is investigated. Fundamental physical constants such…
Discrete Phase Space, Relativistic Quantum Electrodynamics, and a Non-Singular Coulomb Potential
Anadijiban Das, Rupak Chatterjee, Ting Yu
This paper deals with the relativistic, quantized electromagnetic and Dirac field equations in the arena of discrete phase space and continuous time. The mathematical formulation i…
Perfect Fluid Cosmological Universes: One equation of state and the most general solution
Anadijiban Das, Asit Banerjee, Subenoy Chakraborty +1
Considering a homogeneous and isotropic universe characterized by the Friedmann-Lemaître-Robertson-Walker (FLRW) line element, in this work, we have prescribed a general formalism…
Discrete Phase Space: Quantum mechanics and non-singular potential functions
Anadijiban Das, Andrew DeBenedictis
The three-dimensional potential equation, motivated by representations of quantum mechanics, is investigated in four different scenarios: (i) In the usual Euclidean space $\mathbb{…
Higher Dimensional Wormhole Geometries with Compact Dimensions
A. DeBenedictis, A. Das
This paper studies wormhole solutions to Einstein gravity with an arbitrary number of time dependent compact dimensions and a matter-vacuum boundary. A new gauge is utilized which…
The T-domain and extreme matter phases inside spherically symmetric black holes
A. DeBenedictis, D. Aruliah, A. Das
Black hole interiors (the -domain) are studied here in great detail. Both the {\em general} and particular -domain solutions are presented including non-singular ones. Infini…