A two-parameter family of nonlinear coherent states is defined for the pseudoharmonic oscillator by generalizing the factorial in the expansion coefficients, with conditions ensuring normalization and resolution of the identity.
On a dynamical symmetry group of the relativistic linear singular oscillator
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abstract
An exact approach for the factorization of the relativistic linear singular oscillator is proposed. This model is expressed by the finite-difference Schr\"odinger-like equation. We have found finite-difference raising and lowering operators, which are with the Hamiltonian operator form the close Lie algebra of the $SU(1, 1)$ group.
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A set of nonlinear coherent states for the pseudoharmonic oscillator
A two-parameter family of nonlinear coherent states is defined for the pseudoharmonic oscillator by generalizing the factorial in the expansion coefficients, with conditions ensuring normalization and resolution of the identity.