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Abstract
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By using generating functions of classical polynomials (functions)
such as Hermite, Legendre and associated Bessel polynomials, we
introduce new family of coherent states for some quantum solvable
models. We explain how these states constructed without the
complexity of algebraic approaches. We show that these states realize
resolution of the identity property through some positive-definite
measures. Investigation on their statistical and physical properties
shows that they have nonclassical properties.
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