V.V.Borzov

activity

19982006

most citedCoherent states and Chebyshev polynomials

10 citations · 11 across the 5 of their papers we have counts for

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Showing 2003Show all

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quant-ph2003★ 10 cited

Coherent states and Chebyshev polynomials

V. V. Borzov, E. V. Damaskinsky

We define the coherent states for the oscillator-like systems, connected with the Chebyshev polynomials $T_{n} (x)$ and $U_{n} (x)$ of the 1-st and 2-nd kind.

math.QA2003★ 1 cited

Coherent states for the Legendre oscillator

V. V. Borzov, E. V. Damaskinsky

A new oscillator-like system called by the Legendre oscillator is introduced in this note. The two families of coherent states (coherent states as eigenvectors of the annihilation…