2 citations · 2 across the 2 of their papers we have counts for
4 papers
Band theory in the context of the Hamilton-Jacobi formulation
A. Bouda, A. Mohamed Meziane
In the one-dimensional periodic potential case, we formulate the condition of Bloch periodicity for the reduced action by using the relation between the wave function and the reduc…
The Three-Dimensional Quantum Hamilton-Jacobi Equation and Microstates
A. Bouda, A. Mohamed Meziane
In a stationary case and for any potential, we solve the three-dimensional quantum Hamilton-Jacobi equation in terms of the solutions of the corresponding Schrodinger equation. The…
Relativistic Quantum Newton's Law For A Spinless Particle
A. Bouda, F. Hammad
For a one-dimensional stationary system, we derive a third order equation of motion representing a first integral of the relativistic quantum Newton's law. We then integrate this e…
Probability Current and Trajectory Representation
A. Bouda
A unified form for real and complex wave functions is proposed for the stationary case, and the quantum Hamilton-Jacobi equation is derived in the three-dimensional space. The diff…