3 papers
quant-ph2025
A Path Integral Treatment of Time-dependent Dunkl Quantum Mechanics
A. Benchikha, B. Hamil, B. C. LütfüoÄlu
This paper presents an analytical treatment of the path integral formalism for time-dependent quantum systems within the framework of Wigner-Dunkl mechanics, emphasizing systems wi…
quant-ph2024
Time-dependent Dunkl-Pauli Oscillator
A. Benchikha, B. Hamil, B. C. LütfüoÄlu
This study explores the time-dependent Dunkl-Pauli oscillator in two dimensions. We constructed the Dunkl-Pauli Hamiltonian, which incorporates a time-varying magnetic field and a…
quant-ph2024
One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
A. Benchikha, B. Hamil, B. C. LütfüoÄlu +1
In the present manuscript, we employ the Feynman path integral method to derive the propagator in one-dimensional Wigner-Dunkl quantum mechanics. To verify our findings we calculat…