27,200 research outputs found
Determination of the scattering length for Rb-Cs X ground electronic state using a variational method
We performed the calculation of the scattering length for the elastic
collision between the rubidium and cesium atoms. For this we applied a
variational procedure based on the R-matrix theory for unbound states employing
the finite element method (FEM) for expansion of the wave-function in terms of
a finite set of local basis functions. The FEM presents as advantages the
possibility of the development of a efficient matrix inversion algorithm which
significantly reduces the computation time to calculate the R matrix. We also
tested a potential energy curve with spectroscopic accuracy obtained before
from a direct adjustment procedure of experimental data of the
state based on genetic algorithm. The quality of our result
was evaluated by comparing them with several ones previously published at
literature.Comment: 15 pages, 6 tables and 2 figure
A quantum genetic algorithm with quantum crossover and mutation operations
In the context of evolutionary quantum computing in the literal meaning, a
quantum crossover operation has not been introduced so far. Here, we introduce
a novel quantum genetic algorithm which has a quantum crossover procedure
performing crossovers among all chromosomes in parallel for each generation. A
complexity analysis shows that a quadratic speedup is achieved over its
classical counterpart in the dominant factor of the run time to handle each
generation.Comment: 21 pages, 1 table, v2: typos corrected, minor modifications in
sections 3.5 and 4, v3: minor revision, title changed (original title:
Semiclassical genetic algorithm with quantum crossover and mutation
operations), v4: minor revision, v5: minor grammatical corrections, to appear
in QI
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