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16 papers · 1 filter
Classical and Quantum Fermions Linked by an Algebraic Deformation
Ali Mostafazadeh
We study the regular representation of the single-fermion algebra , i.e., , , for . We show that is a four-dimensio…
Autoparallel orbits in Kerr Brans-Dicke spacetimes
H. Cebeci, T. Dereli, R. W. Tucker
The bounded orbital motion of a massive spinless test particle in the background of a Kerr Brans-Dicke geometry is analysed in terms of worldlines that are auto-parallels of differ…
Symplectic tori in rational elliptic surfaces
Tolga Etgü, B. Doug Park
Let E(1)_p denote the rational elliptic surface with a single multiple fiber f_p of multiplicity p. We construct an infinite family of homologous non-isotopic symplectic tori repre…
Contact 3-manifolds with infinitely many Stein fillings
Burak Ozbagci, Andras I. Stipsicz
Infinitely many contact 3-manifolds each admitting infinitely many, pairwise non-diffeomorphic Stein fillings are constructed. We use Lefschetz fibrations in our constructions and…
Wave Function of the Universe and Its Meaning
Ali Mostafazadeh
For a FRW-spacetime coupled to an arbitrary real scalar field, we endow the solution space of the associated Wheeler-DeWitt equation with a Hilbert-space structure, construct the o…
Is Pseudo-Hermitian Quantum Mechanics an Indefinite-Metric Quantum Theory?
Ali Mostafazadeh
With a view to eliminate an important misconception in some recent publications, we give a brief review of the notion of a pseudo-Hermitian operator, outline pseudo-Hermitian quant…