322 citations
- Chouaib Doukkali UniversityMA28 papers
- Saudi Center for Theoretical PhysicsSA19 papers
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- Max Planck Institute for the Physics of Complex SystemsDE6 papers
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math-ph2019★ 17 cited
Phase Transitions for quantum Ising model with competing XY -interactions on a Cayley tree
Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi +1
The main aim of the present paper is to establish the existence of a phase transition for the quantum Ising model with competing XY interactions within the quantum Markov chain (QM…
math-ph2013★ 5 cited
Factorization of Dirac Equation in Two Space Dimensions
Hocine Bahlouli, Ahmed Jellal, Youness Zahidi
We present a systematic approach for the separation of variables for the two-dimensional Dirac equation in polar coordinates. The three vector potential, which couple to the Dirac…
math-ph2010★ 8 cited
Relativistic Double Barrier Problem with Three Sub-Barrier Transmission Resonance Regions
A. D. Alhaidari, H. Bahlouli, A. Jellal
We obtain exact scattering solutions of the Dirac equation in 1+1 dimensions for a double square barrier vector potential. The potential floor between the two barriers is higher th…