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17 papers · 1 filter
Hard-core Yukawa model for two-dimensional charge stabilized colloids
R. Asgari, B. Davoudi, B. Tanatar
The hyper-netted chain (HNC) and Percus-Yevick (PY) approximations are used to study the phase diagram of a simple hard-core Yukawa model of charge-stabilized colloidal particles i…
Single and double qubit gates by manipulating degeneracy
T. Hakioglu, J. Anderson, F. Wellstood
A novel mechanism is proposed for single and double qubit state manipulations in quantum computation with four-fold degenerate energy levels. The principle is based on starting wit…
The Hilbert transform, rearrangements, and logarithmic determinants
V. Matsaev, I. Ostrovskii, M. Sodin
This is an extended version of notes prepared for the talk at the conference "Rajchman-Zygmund-Marcinkiewicz 2000" based on recent works of the authors.
The Moyal-Lie Theory of Phase Space Quantum Mechanics
T. Hakioglu, A. Dragt
A Lie algebraic approach to the unitary transformations in Weyl quantization is discussed. This approach, being formally equivalent to the -quantization, is an extension of…
Time Dependent Recursion Operators and Symmetries
Metin Gurses, Atalay Karasu, Refik Turhan
The recursion operators and symmetries of non-autonomous, (1+1)-dimensional integrable evolution equations are considered. It has been previously observed that the symmetries of th…
Nonlocal, noncommutative picture in quantum mechanics and distinguished canonical maps
T. Hakioglu
Classical nonlinear canonical (Poisson) maps have a distinguished role in quantum mechanics. They act unitarily on the quantum phase space and generate -independent quantum…