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6 papers · 1 filter
Self-accelerating Parabolic Cylinder Waves in 1-D
C. Yuce
We introduce a new self-accelerating wave packet solution of the Schrodinger equation in one dimension. We obtain an exact analytical parabolic cylinder wave for the inverted harmo…
Topological phase in a non-Hermitian PT symmetric system
Cem Yuce
In this work, we consider a tight binding lattice with two non-Hermitian impurities. The system is described by a non-Hermitian generalization of the Aubry Andre model. We show for…
Pseudo PT symmetric lattice
C. Yuce
We study pseudo PT symmetry for a tight binding lattice with a general form of the modulation. Using high-frequency Floquet method, we show that the critical non-Hermitian degree f…
Dynamical Casimir Effect for a Swinging Cavity
Cem Yuce, Zalihe Ozcakmakli
The resonant scalar particle generation for a swinging cavity resonator in the Casimir vacuum is examined. It is shown that the number of particles grows exponentially when the cav…
Inverted Oscillator
C. Yuce, A. Kilic, A. Coruh
The inverted harmonic oscillator problem is investigated quantum mechanically. The exact wave function for the confined inverted oscillator is obtained and it is shown that the ass…
Free electron in a laser field: The nonrelativistic solution
C. Yuce
Schrodinger equation for a charged particle interacting with the plane wave electromagnetic field is solved exactly. The exact analytic solution and the perturbative solution up to…