3 citations · 6 across the 9 of their papers we have counts for
10 papers
Derivation of Relativistic law of Addition of Velocities from Superposition of Eigenfunctions and Discreteness
Mushfiq Ahmad
We have defined a slowness, s, as the reciprocal conjugate of velocity, v. s = -ih/v. We have shown that Einstein's postulate (v has an upper limit) implies that s is discrete. A v…
Reciprocal Symmetry and Unified Classico-Quantum Oscillator And Consistency between a Particle in a Potential Well and a Harmonic Oscillator
Mushfiq Ahmad, Muhammad O. G. Talukder
The function exp(iwt) describes an oscillating motion. Energy of the oscillator is proportional to the square of w. exp(iwt) is the solution of a differential equation. We have rep…
Reciprocal Symmetric Boltzmann Function and Unified Boson-Fermion Statistics
Mushfiq Ahmad, Muhammad O. G. Talukder
The differential equation for Boltzmann's function is replaced by the corresponding discrete finite difference equation. The difference equation is, then, symmetrized so that the e…
Non-Associativity of Lorentz Transformation and Associative Reflection Symmetric Transformation
Mushfiq Ahmad, M. Shah Alam
Each of the two moving observers observes the relative velocity of the other. The two velocities should be equal and opposite. We have shown that this relativistic requirement is n…
Reciprocal Symmetry and Classical Discrete Oscillator Incorporating Half-Integral Energy Levels
Mushfiq Ahmad
Classical oscillator differential equation is replaced by the corresponding (finite time) difference equation. The equation is, then, symmetrized so that it remains invariant under…
Reciprocal Symmetric and Origin of Quantum Statistics
Mushfiq Ahmad
Boltzmann's differential equation is replaced by the corresponding reciprocal symmetric finite difference equation. Finite difference translates discreteness of energy. Boltzmann's…