95 citations · 356 across the 27 of their papers we have counts for
27 papers
A new matrix representation of the Maxwell equations based on the Riemann-Silberstein-Weber vector for a linear inhomogeneous medium
Sameen Ahmed Khan, Ramaswamy Jagannathan
We derive a new eight dimensional matrix representation of the Maxwell equations for a linear homogeneous medium and extend it to the case of a linear inhomogneous medium. This der…
Quantum mechanics of round magnetic electron lenses with Glaser and power law models of
Sameen Ahmed Khan, Ramaswamy Jagannathan
Scalar theory of quantum electron beam optics, at the single-particle level, derived from the Dirac equation using a Foldy-Wouthuysen-like transformation technique is considered. R…
Quantum mechanics of bending of a nonrelativistic charged particle beam by a dipole magnet
Sameen Ahmed Khan, Ramaswamy Jagannathan
Quantum mechanics of bending of a nonrelativistic monoenergetic charged particle beam by a dipole magnet is studied in the paraxial approximation. The transfer map for the position…
On the deformed oscillator and the deformed derivative associated with the Tsallis q-exponential
Ramaswamy Jagannathan, Sameen Ahmed Khan
The Tsallis -exponential function is found to be associated with the deformed oscillator defined by the relations $\left[N,a^\dagger\right]…
An extension of the Bernoulli polynomials inspired by the Tsallis statistics
M. Balamurugan, R. Chakrabarti, R. Jagannathan
In [Arch. Math. 7, 28 (1956), Utilitas Math. 15, 51 (1979)] Carlitz introduced the degenerate Bernoulli numbers and polynomials by replacing the exponential factors in the correspo…
(p,q)-Rogers-Szego polynomial and the (p,q)-oscillator
R. Jagannathan, R. Sridhar
A (p,q)-analogue of the classical Rogers-Szego polynomial is defined by replacing the q-binomial coefficient in it by the (p,q)-binomial coefficient. Exactly like the Rogers-Szego…