9 papers
Divisibility tests with weighted digital sums
Palash B. Pal
We propose a divisibility test for all integers which have 1, 3, 7 or 9 in their unit's place. In particular, then, the test applies for all prime divisors except 2 and 5.
Reflection and refraction of electromagnetic waves at the plane boundary between two chiral media
Jose F. Nieves, Palash B. Pal
This work is concerned with the propagation of electromagnetic waves in isotropic chiral media and with the effects produced by a plane boundary between two such media. In analogy…
Inverse beta-decay in magnetic fields
Kaushik Bhattacharya, Palash B. Pal
We calculate the cross section of the inverse beta decay process, , in a magnetic field which is much smaller than . Using exact solutions of the Dirac equat…
Photogravitational processes
Jose F. Nieves, Palash B. Pal
In the linearized theory of gravity coupled to the electromagnetic field, we calculate the cross sections of two processes in which both the gravitational and electromagnetic inter…
A reincarnation of R-parity
Palash B. Pal
In supersymmetric theories, R-parity is defined in a way such that it does not commute with the space-time symmetries. We show that, in general sypersymmetric models, one can defin…
Functional derivation of Casimir energy at non-zero temperature
Avijit K. Ganguly, Palash B. Pal
Performing functional integration of the free Lagrangian, we find the vacuum energy of a field. The functional integration is performed in a way which easily generalizes to systems…